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REVIEW ARTICLES

Characterization and analysis of delamination fracture in composites: An overview of developments from 1990 to 2001

[+] Author and Article Information
TE Tay

Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore

Appl. Mech. Rev 56(1), 1-32 (Jan 15, 2003) (32 pages) doi:10.1115/1.1504848 History: Online January 15, 2003
Copyright © 2003 by ASME
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References

Garg  AC (1988), Delamination–A damage mode in composite structures, Eng. Fract. Mech. 29(5), 557–584.
Pagano NJ and Schoeppner GA (2000), Delamination of polymer matrix composites: problems and assessment, Comprehensive Composite Materials2 , A Kelly and C Zweben (eds), Elsevier Science, Oxford, 433–528.
Bolotin  VV (1996), Delaminations in composite structures: its origin, buckling, growth and stability, Composites: Part B 27B, 129–145.
Tay TE (2001), Characterization and analysis of buckling-induced delamination in composites, 13th Int Conf on Composite Materials (ICCM-13), Beijing, China, Paper 1298.
Mouritz  AP and Cox  BN (2000), A mechanistic approach to the properties of stitched laminates, Composites, Part A 31, 1–27.
Anderson TL (1995), Fracture Mechanics Fundamentals and Applications, Second Edition, CRC Press, Boca Raton.
Davies  P, Sims  GD, Blackman  BRK, Brunner  AJ, Kageyama  K, Hojo  M, Tanaka  K, Murri  G, Rousseau  C, Gieseke  B, and Martin  RH (1999), Comparison of test configurations for determination of mode II interlaminar fracture toughness results from international collaborative test program, Plastics, Rubber Compos 28(9) 432–437.
Davies  P, Blackman  BRK, and Brunner  AJ (1998), Standard test methods for delamination resistance of composite materials: Current status, Appl. Compos. Mater. 5, 345–364.
Davies  P, Kausch  HH, Williams  JG, Kinloch  AJ, Charalambides  MN, Pavan  A, Moore  DR, Prediger  R, Robinson  I, Burgoyne  N, Friedrich  K, Wittich  H, Rebelo  CA, Torres Marques  A, Ramsteiner  F, Melve  B, Fischer  M, Roux  N, Martin  D, Czarnocki  P, Neville  D, Verpoest  I, Goffaux  B, Lee  R, Walls  K, Trigwell  N, Partridge  IK, Jaussaud  J, Andersen  S, Giraud  Y, Hale  G, and McGrath  G (1992), Round-robin interlaminar fracture testing of carbon-fiber-reinforced epoxy and PEEK composites, Compos. Sci. Technol. 43, 129–1376.
Tay  TE, Williams  JF, and Jones  R (1987), Characterization of pure and mixed mode fracture in composite laminates, Theo. & Appl. Frac. Mech. 7, 115–123.
Juntti  M, Asp  LE, and Olsson  R (1999), Assessment of evaluation methods for the mixed-mode bending test, J. Compos. Technol. Res. 21(1), 37–48.
Robinson  P and Song  DQ (1992), A modified DCB specimen for Mode I testing of multidirectional laminates, J. Compos. Mater. 26(11), l554–1577.
ASTM D 5528-94a, Standard test method for Mode I interlaminar fracture toughness of unidirectional fiber-reinforced polymer matrix composites, Annual Book of ASTM Standards, 15.03 , Am. Soc. for Testing and Materials, (2000).
ASTM D 6115-97, Standard test method for Mode I fatigue delamination growth onset of unidirectional fiber-reinforced polymer matrix composites, Annual Book of ASTM Standards, 15.03 , Am. Soc. for Testing and Materials, (2000).
ASTM D 6671-01, Standard test method for mixed mode I–Mode II interlaminar fracture toughness of unidirectional fiber reinforced polymer matrix composites, Annual Book of ASTM Standards, 15.03 , Am. Soc. for Testing and Materials, (2000).
Martin  RH and Davidson  BD (1999), Mode II fracture toughness evaluation using a four point bend end notched flexure test, Plastics, Rubber Compos 28(8), 401–406.
Schuecker  C and Davidson  BD (2000), Evaluation of the accuracy of the four-point bend end-notched flexure test for mode II delamination toughness determination, Compos. Sci. Technol. 60, 2137–2146.
Martin RH, Elms T, and Bowron S (1998), Characterization of mode II delamination using the 4ENF, 4th European Conf on Composite Materials, Inst of Materials, London, 161–170.
Johnson WS and Mangalgiri PD (1987), Influence of the resin on interlaminar mixed-mode fracture, Toughened Composites, ASTM STP 937, NJ Johnston (ed), Am. Soc. for Testing and Materials, Philadelphia, 295–315.
Reeder  JR and Crews  JH (1990), The mixed-mode bending method for delamination testing, AIAA J. 28(7), 1270–1276.
Reeder  JR and Crews  JH (1992), Redesign of the mixed-mode bending delamination test to reduce nonlinear effects, J. Compos. Technol. Res. 14(1), 12–19.
Reeder, JR (1993), A bilinear failure criterion for mixed-mode delamination, Composite Materials: Testing and Design, Eleventh Volume, ASTM STP 1206, ET Camponeschi Jr (ed), Am Soc for Testing and Materials, Philadelphia, 303–322.
Kinloch  AJ, Wang  Y, Williams  JG, and Yayla  P (1993), The mixed-mode delamination of fiber composite materials, Compos. Sci. Technol. 27, 225–237.
Rikards  R, Buchholz  F-G, Wang  H, Bledzki  AK, Korjakin  A, and Richard  H-A (1998), Investigation of mixed mode I/II interlaminar fracture toughness of laminated composites by using a CTS type specimen, Eng. Fract. Mech. 61, 325–342.
Rikards  R (2000), Interlaminar fracture behavior of laminated composites, Comput. Struct. 76, 11–18.
Bansal  A and Kumosa  M (1995), Application of biaxial Iosipescu method to mixed-mode fracture of unidirectional composites, Int. J. Fract. 71, 131–150.
Davidson  BD, Krüger  R, and König  M (1995), Three-dimensional analysis of center-delaminated unidirectional and multidirectional single-leg bending specimens, Compos. Sci. Technol. 54, 385–394.
Sundararaman  V and Davidson  BD (1998), An unsymmetric end-notched flexure test for interfacial fracture toughness determination, Eng. Fract. Mech. 60, 361–377.
Guo  YJ and Weitsman  YJ (2001), A modified specimen for evaluating the mixed mode fracture toughness of adhesives, Int. J. Fract. 107, 201–234.
Brunner  AJ (2000), Experimental aspects of Mode I and Mode II fracture toughness testing of fiber-reinforced polymer-matrix composites, Comput. Methods Appl. Mech. Eng. 185, 161–172.
O’Brien  TK (1998), Interlaminar fracture toughness: the long and winding road to standardization, Composites, Part B 29B, 57–62.
O’Brien TK (1998), Composite interlaminar shear fracture toughness, GIIc: Shear measurement or shear myth?, Composite Materials: Fatigue and Fracture, Seventh Volume, ASTM STP 1330, RB Bucinell (ed), Am. Soc. for Testing and Materials, Philadelphia, 3–18.
Svensson  N and Gilchrist  MD (1998), Mixed-mode delamination of multidirectional carbon fiber/epoxy laminates, Mech. of Compos. Mater. & Struct 5, 291–307.
Shivakumar  KN, Crews  JH, and Avva  VS (1998), Modified mixed-mode bending test apparatus for measuring delamination fracture toughness of laminated composites, J. Compos. Mater. 32(9), 804–828.
Asp  LE, Sjögren  A, and Greenhalgh  ES (2001), Delamination growth and thresholds in a carbon/epoxy composite under fatigue loading, J. Compos. Technol. Res. 23(2), 55–68.
Sjögren  A and Asp  LE (2002), Effects of temperature on delamination growth in a carbon/epoxy composite under fatigue loading, Int. J. Fract. 24, 179–184.
Paris I and Poursatip A (1999), Delaminations under pure Mode II loading show significant local Mode I behavior, 12th Int Conf on Composite Materials (ICCM-12), Paris, France, Paper 354.
Lee  SM (1993), An edge crack torsion method for Mode III delamination fracture testing, J. Compos. Technol. Res. 15(3), 193–201.
Li J and Wang Y (1996), Analysis of Mode III delamination fracture testing using a midplane edge crack torsion specimen, Composite Materials: Testing and Design, Twelfth Volume, ASTM STP 1274, RB Deo and CR Saff, (eds), Am Soc for Testing and Materials, Philadelphia, 166–181.
Li  J and Wang  Y (1994), Analysis of a symmetric laminate with mid-plane free edge delamination under torsion: theory and application to the edge crack torsion (ECT) specimen for Mode III toughness characterization, Eng. Fract. Mech. 49(2), 179–194.
Li J and O’Brien TK (1996), Characterizing fatigue delamination onset under Mode III loading for laminated composites, 11th Tech Conf of Am Soc for Composites, Atlanta, GA, Technomic Publ., Lancaster, PA, 419–427.
Li  J and O’Brien  TK (1996), Simplified data reduction methods for the ECT test for Mode III interlaminar fracture toughness, J. Compos. Technol. Res. 18(2), 96–101.
Li  J, Lee  SM, Lee  EW, and O’Brien  TK (1997), Evaluation of the edge crack torsion (ECT) test for Mode III interlaminar fracture toughness of laminated composites, J. Compos. Technol. Res. 19(3), 174–183.
Suemasu  H (1999), An experimental method to measure the Mode III interlaminar fracture toughness of composite laminates, Compos. Sci. Technol. 59, 1015–1021.
Liao  WC and Sun  CT (1996), The determination of Mode III fracture toughness in thick composite laminates, Compos. Sci. Technol. 56, 489–499.
Donaldson  SL (1988), Mode III interlaminar fracture characterization of composite materials, Compos. Sci. Technol. 32, 225–249.
Becht  G and Gillespie  JW (1988), Design and analysis of the crack rail shear specimen for Mode III interlaminar fractures, Compos. Sci. Technol. 31, 143–157.
Martin RH (1991), Evaluation of the split cantilever beam for Mode III delamination testing, Composite Materials: Fatigue and Fracture, Third Volume, ASTM STP 1110, TK O’Brien (ed), Am Soc for Testing and Materials, Philadelphia, 243–266.
Robinson  P and Song  DQ (1992), A new Mode III delamination test for composites, Adv Compos Lett 1, 160–164.
Trakas K and Kortschot MT (1997), The relationship between critical strain energy release rate and fracture mode in multidirectional carbon-fiber/epoxy laminates, Composite Materials: Fatigue and Fracture, Sixth Volume, ASTM STP 1285, EA Armanios (ed), Am Soc for Testing and Materials, Philadelphia, 283–304.
Krueger  R, Cvitkovich  MK, O’Brien  TK, and Minguet  PJ (2000), Testing and analysis of composite skin/stringer debonding under multi-axial loading, J. Compos. Mater. 34(15), 1263–1300.
Martin  RH (1996), Interlaminar fracture characterization, Key Eng. Mater. 121–122, 329–346.
Hooper  SJ, Khourchid  Y, and Sriram  P (1996), Application of the MMB specimen in the measurement of mixed mode interlaminar fracture toughness, Key Eng. Mater. 121–122, 361–388.
Sriram P, Khourchid Y, Hooper SJ, and Martin RH (1995), Experimental development of a mixed-mode fatigue delamination criterion, Composite Materials: Fatigue and Fracture, Fifth Volume, ASTM STP 1230, RH Martin (ed), Am Soc for Testing and Materials, Philadelphia, 3–18.
Sriram P, Khourchid Y, and Hooper SJ (1993), The effect of mixed-mode loading on delamination fracture toughness, Composite Materials: Testing and Design, Eleventh Volume, ASTM STP 1206, ET Camponeschi Jr. (ed), Am Soc for Testing and Materials, Philadelphia, 291–302.
Martin RH, Sriram P, and Hooper SJ (1996), Using a mixed-mode fatigue delamination criterion, Composite Materials: Testing and Design, Twelfth Volume, ASTM STP 1274, RB Deo and CR Saff, (eds), Am Soc for Testing and Materials, Philadelphia, 371–392.
Kenane  M and Benzeggagh  ML (1997), Mixed-mode delamination fracture toughness of unidirectional glass/epoxy composites under fatigue loading, Compos. Sci. Technol. 57, 597–605.
König M, Krüger R, Kussmaul K, Alberti Mv, and Gädke M (1997), Characterizing static and fatigue interlaminar fracture behavior of a first generation graphite/epoxy composite, Composite Materials: Testing and Design, Thirteenth Volume, ASTM STP 1242, SJ Hooper (ed), Am Soc for Testing and Materials, Philadelphia, 60–81.
O’Brien TK, Murri GB, and Salpekar SA (1989), Interlaminar shear fracture toughness and fatigue thresholds for composite materials, Composite Materials: Fatigue and Fracture, Second Volume, ASTM STP 1012, PA Lagace (ed), Am Soc for Testing and Materials, Philadelphia, 222–250.
Davidson BD (1994), Prediction of delamination growth in laminated structures, Failure Mechanics in Advanced Polymeric Composites, AMD-Vol. 196, GA Kardomateas and YDS Rajapakse (eds), Am Soc of Mech Eng, New York, 43–65.
Zhao  S, Gädke  M, and Prinz  R (1995), Mixed-mode delamination behavior of carbon/epoxy composites, J. Reinf. Plast. Compos. 14, 804–826.
Martin RH (1998), Incorporating interlaminar fracture mechanics into design, Int. Conf. on Designing Cost-Effective Composites, London, UK, Inst of Mech Eng, Bury St Edmunds and London, 83–92.
Schön  J, Nyman  T, Blom  A, and Ansell  H (2000), Numerical and experimental investigation of a composite ENF-specimen, Eng. Fract. Mech. 65, 405–433.
Schön  J (2000), A model of fatigue delamination in composites, Compos. Sci. & Technol. 60, 553–558.
Dahlen  C and Springer  GS (1994), Delamination growth in composites under cyclic loads, J. Compos. Mater. 28(8), 732–781.
Andersons  J, Hojo  M, and Ochiai  S (2001), Model of delamination propagation in brittle-matrix composites under cyclic loading, J. Reinf. Plast. & Compos. 20(5), 431–450.
Suo  Z (1990), Singularities, interfaces and cracks in dissimilar anisotropic media, Proc. R. Soc. London, Ser. A 427, 331–358.
Hutchinson JW and Suo Z (1992), Mixed mode cracking in layered materials, Advances in Applied Mechanics29 , JW Hutchinson and TY Wu, (eds), Academic Press, New York.
Qian  W and Sun  CT (1998), Methods for calculating stress intensity factors for interfacial cracks between two orthotropic solids, Int. J. Solids Struct. 35(25), 3317–3330.
Beuth  JL (1996), Separation of crack extension modes in orthotropic delamination models, Int. J. Fract. 77, 305–321.
Rybicki  EF and Kanninen  MF (1977), A finite element calculation of stress intensity factors by a modified crack closure integral, Eng. Fract. Mech. 9, 931–938.
Raju  IS (1987), Calculation of strain-energy release rates with higher order and singular finite elements, Eng. Fract. Mech. 28(3), 251–274.
Shivakumar  KN, Tan  PW, and Newman  JC (1988), A virtual crack-closure technique for calculating stress intensity factors for cracked three dimensional bodies, Int. J. Fract. 36, R43–R50.
Raju  IS and Shivakumar  KN (1988), Three-dimensional elastic analysis of a composite double cantilever beam specimen, AIAA J. 26(12), 1493–1498.
Davidson  BD (1990), An analytical investigation of delamination front curvature in double cantilever beam specimens, J. Compos. Mater. 24, 1124–1137.
Sun  CT and Zheng  S (1993), Delamination characteristics of double-cantilever beam and end-notched flexure composite specimens, Compos. Sci. Technol. 56, 451–459.
Nilsson  KF (1993), On growth of crack fronts in the DCB test, Composites Eng. 3(6), 527–546.
Manoharan  MG and Sun  CT (1990), Strain energy release rates of an interfacial crack between two anisotropic solids under uniform axial strain, Compos. Sci. Technol. 39(2), 99–116.
Tay  TE, Shen  F, Lee  KH, Scaglione  A, and Di Sciuva  M (1999), Mesh design in finite element analysis of post-buckled delamination in composite laminates, Compos. Struct. 47, 603–611.
Narayana  KB, George  S, Dattaguru  B, Ramamurthy  TS, and Vijayakumar  K (1994), Modified crack closure integral (MCCI) for 3D problems using 20 noded brick elements, Fatigue Fract. Eng. Mater. Struct. 17(2), 145–157.
Dattaguru  B, Venkatesha  KS, Ramamurthy  TS, and Buchholz  F-G (1994), Finite element estimates of strain energy release rate components at the tip of an interface crack under Mode I loading, Eng. Fract. Mech. 49(3), 451–463.
Raju  IS , and Crews  JH, and Aminpour  MA (1988), Convergence of strain energy release rate components for edge-delaminated composite laminates, Eng. Fract. Mech. 30(3), 383–396.
Davidson  BD, Gharibian  SJ, and Yu  L (2000), Evaluation of energy release rate-based approaches for predicting delamination growth in laminated composites, Int. J. Fract. 105, 343–365.
Wang  JT and Raju  IS (1996), Strain energy release rate formulae for skin-stiffener debond modeled with plate elements, Eng. Fract. Mech. 54(2), 211–228.
Raju  IS, Sistla  R, and Krishnamurthy  T (1996), Fracture mechanics analyses for skin-stiffener debonding, Eng. Fract. Mech. 54(3), 371–385.
Schapery  RA and Davidson  BD (1990), Prediction of energy release rate for mixed- mode delamination using classical plate theory, Appl. Mech. Reviews 43(5), Pt. 2, S281–S287.
Davidson  BD, Hu  H, and Schapery  RA 1995), An analytical crack-tip element for layered elastic structures, ASME J. Appl. Mech. 62, 294–305.
Davidson  BD and Krafchak  TM (1993), Analysis of instability-related delamination growth using a crack tip element, AIAA J. 31(11), 2130–2136.
Davidson  BD (1996), Analytical determination of mixed-mode energy release rates for delamination using a crack tip element, Key Eng. Mater. 121–122, 161–180.
Davidson BD, Fariello PL, Hudson RC, and Sundararaman V (1997), Accuracy assessment of the singular-field-based mode-mix decomposition procedure for the prediction of delamination, Composite Materials: Testing and Design, Thirteenth Volume, ASTM STP 1242, SJ Hooper (ed), Am Soc for Testing and Materials, Philadelphia, 109–128.
Davidson  BD, Yu  L, and Hu  H (2000), Determination of energy release rate and mode mix in three-dimensional layered structures using plate theory, Int. J. Fract. 105, 81–104.
Yu  L and Davidson  BD (2001), A three-dimensional crack tip element for energy release rate determination in layered elastic structures, J. Compos. Mater. 35(6), 457–488.
Yang Z and Sun CT (1998), Fracture mode separation for delamination in plate-like composite structures, 39th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit, Long Beach CA, Am Inst of Aeronaut and Astronaut, Reston, 2666–2678.
Yang  Z, Sun  CT, and Wang  J (2000), Fracture mode separation for delamination in platelike composite structures, AIAA J. 38(5), 868–874.
Jeon  I, Kim  Y, and Im  S (1996), Enriched finite element analysis for a delamination crack in a laminated composite strip, Comput. Mech. 17, 262–269.
Rice  JR (1988), Elastic fracture mechanics concepts for interfacial cracks, ASME J. Appl. Mech. 55, 98–103.
Chow  WT and Atluri  SN (1995), Finite-element calculation of stress intensity factors for interfacial crack using virtual crack closure integral, Comput. Mech 16, 417–425.
Chow  WT and Atluri  SN (1998), Stress intensity factors as the fracture parameters for delamination crack growth in composite laminates, Comput. Mech. 21, 1–10.
Chow  WT, Boem  HG, and Atluri  SN (1995), Calculation of stress intensity factors for an interfacial crack between dissimilar anisotropic media, using a hybrid element method and the mutual integral, Comput. Mech. 15, 546–557.
Sheinman  I and Kardomateas  GA (1997), Energy release rate and stress intensity factors for delaminated composite laminates, Int. J. Solids Struct. 34(4), 451–459.
Johnson  MJ and Sridharan  S (1999), Evaluation of strain energy release rates in delaminated laminates under compression, AIAA J. 37(8), 954–963.
Narayan  SH and Beuth  JL (1998), Designation of mode mix in orthotropic composite delamination problems, Int. J. Fract. 90, 383–400.
Williams  JG (1988), On the calculation of energy release rates for cracked laminates, Int. J. Fract. 36, 101–119.
Hashemi S, Kinloch AJ, and Williams JG (1991), Mixed-mode fracture in fiber-polymer composite laminates, Composite Materials: Fatigue and Fracture, Third Volume, ASTM STP 1110, TK O’Brien (ed), Am Soc for Testing and Materials, Philadelphia, 143–168.
Hashemi  S, Kinloch  AJ, and Williams  JG (1990), The analysis of interlaminar fracture in uniaxial fiber-polymer composites, Proc. R. Soc. London, Ser. A 427, 173–199.
Charalambides  M, Kinloch  AJ, Wang  Y, and Williams  JG (1992), On the analysis of mixed-mode failure, Int. J. Fract. 54, 269–291.
Poursartip  A, Gambone  A, Ferguson  S, and Fernlund  G (1998), In- situ SEM measurements of crack tip displacements in composite laminates to determine local G in mode I and II, Eng. Fract. Mech. 60(2), 173–185.
Sridharan  S (2001), Displacement-based mode separation of strain energy release rates for interfacial cracks in bi-material media, Int. J. Solids Struct. 38, 6787–6803.
Ducept  F, Gamby  D, and Davies  P (1999), A mixed-mode failure criterion derived from tests on symmetric and asymmetric specimens, Compos. Sci. Technol. 59, 609–619.
Fish  JC and Malaznik  SD (1996), Fracture of double beam specimens containing 90-degree plies, Key Eng. Mater. 121–122, 347–360.
Olsson  R, Thesken  JC, Brandt  F, Jönsson  N, and Nilsson  S (1996), Investigations of delamination criticality and the transferability of growth criteria, Comput. Struct. 36, 221–247.
Davidson BD, Altonen CS, and Polaha JJ (1996), Effect of stacking sequence on delamination toughness and delamination growth behavior in composite end-notched flexure specimens, Composite Materials: Testing and Design, Twelfth Volume, ASTM STP 1274, RB Deo and CR Saff, (eds), Am Soc for Testing and Materials, Philadelphia, 393–413.
Davidson  BD, Krüger  R, and König  M. (1996), Effect of stacking sequence on energy release rate distributions in multidirectional DCB and ENF specimens, Eng. Fract. Mech. 55(4), 557–569.
Tao  J and Sun  CT (1998), Influence of ply orientation on delamination in composite laminates, J. Compos. Mater. 32(21), 1933–1947.
Choi  NS, Kinloch  AJ, and Williams  JG (1999), Delamination fracture of multidirectional carbon-fiber/epoxy composites under mode I, mode II and mixed-mode I/II loading, J. Compos. Mater. 33(1), 73–100.
Shi  YB, Hull  D, and Price  JN (1993), Mode II fracture of +/− angled laminate interfaces, Compos. Sci. Technol. 47, 173–184.
Daridon  L, Cochelin  B, and Potier-Ferry  M (1997), Delamination and fiber bridging modeling in composite samples, J. Compos. Mater. 31(9), 874–888.
Chai  H (1990), Interlaminar shear fracture of laminated composites, Int. J. Fract. 43, 117–131.
Polaha JJ (1994), Effect of interfacial ply orientation on the fracture toughness of a laminated graphite/epoxy composite, 35th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conf and Exhibit, Long Beach CA, Am Inst Aeronaut and Astronaut, Reston, 1707–1716.
Salpekar  SA, O’Brien  TK, and Shivakumar  KN (1996), Analysis of local delaminations caused by angle ply matrix cracks, J. Compos. Mater. 30(4), 418–440.
Salpekar SA and O’Brien TK (1991), Combined effect of matrix cracking and free edge on delamination, Composite Materials: Fatigue and Fracture, Third Volume, ASTM STP 1110, TK O’Brien (ed), Am Soc for Testing and Materials, Philadelphia, 287–311.
Whitcomb  JD (1992), Analysis of delamination growth near intersecting ply cracks, J. Compos. Mater. 26(12), 1844–1858.
Zhang J and Herrman KP (1997), Delamination cracking between plies of different orientation angles in composite laminates, 1st Int. Conf on Damage and Failure of Interfaces, Vienna, Austria, H-P Rossmanith (ed), Balkema, Rotterdam, 147–151.
Lee  G, Gürdal  Z, and Griffin  OH (1995), Postbuckling of laminated composites with delaminations, AIAA J. 33(10), 1963–1970.
Sheinman  I, Kardomateas  GA, and Pelegri  AA (1998), Delamination growth during pre- and post-buckling phases of delaminated composite laminates, Int. J. Solids Struct. 35(1-2), 19–31.
Crews  JH, Shivakumar  KN, and Raju  IS (1991), Strain energy release rate distributions for double cantilever beam specimens, AIAA J. 29(10), 1686–1691.
Yin  W-L and Jane  KC (1992), Refined buckling and postbuckling analysis of two- dimensional delaminations–I. Analysis and validation, Int. J. Solids Struct. 29(5), 591–610.
Jane  KC and Yin  W-L (1992), Refined buckling and postbuckling analysis of two- dimensional delaminations–II. Results for anisotropic laminates and conclusion, Int. J. Solids Struct. 29(5), 611–639.
Jih  CJ and Sun  CT (1993), Prediction of delamination in composite laminates subjected to low velocity impact, J. Compos. Mater. 27(7), 684–701.
Yin  W-L (1998), Thermomechanical buckling of delaminated composite laminates, Int. J. Solids Struct. 35(20), 2639–2653.
Yin  W-L (1998), Thermoelastic postbuckling response of strip delamination models, Int. J. Solids Struct. 35(25), 3331–3346.
Nairn  JA (2000), Energy release rate analysis for adhesive and laminate double cantilever beam specimens emphasizing the effect of residual stresses, Int. J. Adhesion & Adhesives 20, 59–70.
Nairn  JA (1997), Fracture mechanics of composites with residual thermal stresses, ASME J. Appl. Mech. 64(4), 804–810.
Whitcomb  JC (1992), Analysis of a laminate with a postbuckled embedded delamination, including contact effects, J. Compos. Mater. 26(10), 1523–1535.
Tian  Z and Swanson  SR (1992), Effect of delamination face overlapping on strain energy release rate calculations, J. Compos. Mater. 21, 195–204.
Sekine  H, Hu  N, and Kouchakzadeh  MA (2000), Buckling analysis of elliptically delaminated composite laminates with consideration of partial closure of delamination, Compos. Struct. 34(7), 551–574.
Rinderknecht  S and Kröplin  B (1995), A finite element model for delamination in composite plates, Mech. Compos. Mater. & Struct. 2, 19–47.
Rinderknecht  S and Kröplin  B (1997), A computational method for the analysis of delamination growth in composite plates, Comput. Struct. 64(1-4), 359–374.
Sun  CT and Qian  W (1998), A treatment of interfacial cracks in the presence of friction, Int. J. Fract. 94, 371–382.
Schön  J (2000), Coefficient of friction of composite delamination surfaces, Wear 237, 77–89.
Buchholz  F-G, Rikards  R, and Wang  H (1997), Computational analysis of interlaminar fracture of laminated composites, Int. J. Fract. 86, 37–57.
Sun CT (2000), The proper use of fracture mechanics in the analysis of composite materials and laminates, Proc of2ndAsian-Australasian Conf on Composite Materials (ACCM-2000), 1, Kyongju, Korea, CS Hong and CG Kim (eds), Korean Soc for Composite Materials, Taejon, 65–75.
Larsson  P-L (1991), On multiple delamination buckling and growth in composite plates, Int. J. Solids Struct. 27(13), 1623–1637.
Kutlu  Z and Chang  F-K (1992), Modeling compression failure of laminated composites containing multiple through-the-width delaminations, J. Compos. Mater. 26(3), 350–387.
Suemasu  H, Kumagai  T, and Gozu  K (1998), Compressive behavior of multiply delaminated composite laminates Part 1: Experiment and analytical development, AIAA J. 36(7), 1279–1285.
Suemasu  H and Kumagai  T (1998), Compressive behavior of multiply delaminated composite laminates Part 2: Finite element analysis, AIAA J. 36(7), 1286–1290.
Suemasu  H and Majima  O (1996), Multiple delaminations and their severity in circular axisymmetric plates subjected to transverse loading, J. Compos. Mater. 30(4) 441–453.
Suemasu  H (1993), Postbuckling behaviors of composite panels with multiple delaminations, J. Compos. Mater. 27(11), 1077–1096.
Suemasu  H (1993), Effects of multiple delaminations on compressive buckling behaviors of composite panels, J. Compos. Mater. 27(12), 1172–1191.
Kouchakzadeh  MA and Sekine  H (2000), Compressive buckling analysis of rectangular composite laminates containing multiple delaminations, Compos. Struct. 50, 249–255.
Kyoung  W-M, Kim  C-G, and Hong  C-S (1999), Buckling and postbuckling behavior of composite cross-ply laminates with multiple delaminations, Compos. Struct. 43, 257–274.
Huang  H and Kardomateas  GA (1997), Post-buckling analysis of multiply delaminated composite plates, ASME J. Appl. Mech. 64, 842–846.
Lee  J, Griffin  OH, and Gürdal  Z (1995), Buckling and postbuckling of circular plates containing concentric penny-shaped delaminations, ASME J. Appl. Mech. 56(6), 1053–1063.
Stevanovic  D, Jar  P-YB, Kalyanasundaram  S, and Lowe  A (2000), On crack- initiation conditions for mode I and mode II delamination testing of composite materials, Compos. Sci. Technol. 60, 1879–1887.
Davies  P, Moulin  C, Kausch  HH, and Fischer  M (1990), Measurement of GIC and GIIC in carbon/epoxy composites, Compos. Sci. Technol. 39, 193–205.
Davies  P, Cantwell  W, and Kausch  HH (1989), Measurement of initiation values of GIC in IM6/PEEK composites, Compos. Sci. Technol. 35, 301–313.
Robinson  P, Foster  S, and Hodgkinson  JM (1996), The effects of starter film thickness, residual stresses and layup on GIC of a 0/0 interface, Adv Compos Lett 5(6), 159–163.
Guo  C and Sun  CT (1998), Dynamic Mode-I crack–propagation in a carbon/epoxy composite, Compos. Sci. Technol. 58, 1405–1410.
Thesken  JC (1995), A theoretical and experimental investigation of dynamic delamination in composites, Fatigue Fract. Eng. Mater. 18(10), 1133–1154.
Choi  NS (2001), Rate effects on the delamination fracture of multidirectional carbon-fiber/epoxy composites under mode I loading, J. Mater. Sci. 36(9), 2257–2270.
Berger  L and Cantwell  WJ (2001), The effect of temperature and loading rate on the mode II interlaminar fracture properties of a carbon fiber reinforced phenolic, Polym. Compos. 22(1), 165–173.
Cowley  KD and Beaumont  PWR (1997), The interlaminar and intralaminar fracture toughness of carbon-fiber/polymer composites: The effect of temperature, Compos. Sci. Technol. 57, 1433–1444.
Asp  LE (1998), The effects of moisture and temperature on the interlaminar delamination toughness of a carbon/epoxy composite, Compos. Sci. Technol. 58, 967–977.
Ozdil  F and Carlsson  LA (2000), Characterization of mode I delamination growth in glass/epoxy composite cylinders, J. Compos. Mater. 34(5), 398–419.
Rasheed  HA and Tassoulas  JL (2001), Delamination growth in long composite tubes under external pressure, Int. J. Fract. 108, 1–23.
Schellekens  JCJ and De Borst  R (1996), On the numerical modeling of edge delamination in composites, Key Eng. Mater. 121–122, 131–160.
Robinson P, Besant T, and Hitchings D (1999), Delamination growth prediction using a finite element approach, Proc of 2nd ESIS TC4 Conf on Fracture of Polymers, Composites, and Adhesives, JG Williams and A Pavan (eds), 135–147.
Corigliano  A (1993), Formulation, identification and use of interface models in the numerical analysis of composite delamination, Int. J. Solids Struct. 30(20), 2779–2811.
Allix O, Daudeville L, and Ladèveze P (1991), Delamination and damage mechanics, ESIS11, Mechanics and Mechanisms of Damage in Composites and Multi-Materials, D Baptiste (ed), 143–157.
Allix O, Ladèveze P, and Léve⁁que D (1997), On the identification of an interface damage model for the prediction of delamination initiation and growth, Proc of1stInt Conf on Damage and Failure of Interfaces, Vienna, Austria, H-P Rossmanith (ed), Balkema, Rotterdam, 153–160.
Gornet L, Hochard C, and Ladèveze P (1997), Examples of delamination predictions by a damage computational approach, Proc of1stInt Conf on Damage and Failure of Interfaces, Vienna, Austria, H-P Rossmanith (ed), Balkema, Rotterdam, 161–169.
Allix  O and Corigliano  A (1996), Modeling and simulation of crack propagation in mixed-modes interlaminar fracture specimens, Int. J. Fract. 77, 111–140.
Point  N and Sacco  E (1996), A delamination model for laminated composites, Int. J. Fract. 33(4), 483–509.
Point  N and Sacco  E (1998), Mathematical properties of a delamination model, Math. Comput. Modell. 28(4–8), 359–371.
Jansson  NE and Larsson  R (2001), A damage model for simulation of mixed-mode delamination growth, Compos. Struct. 53, 409–417.
Mi  Y, Crisfield  MA, and Davies  GAO (1998), Progressive delamination using interface elements, J. Compos. Mater. 32(14), 1246–1272.
de Moura  MFSF, Gonçalves  JPM, Marques  AT, and de Castro  PMST (1997), Modeling compression failure after low velocity impact on laminated composites using interface elements, J. Compos. Mater. 31(15), 1462–1479.
de Moura  MFSF, Gonçalves  JPM, Marques  AT, and de Castro  PMST (2000), Prediction of compressive strength of carbon-epoxy laminates containing delamination by using a mixed-mode damage model, Compos. Struct. 50, 151–157.
Liu  D, Xu  L, and Lu  X (1994), Stress analysis of imperfect composite laminates with an interlaminar bonding theory, Int. J. Numer. Methods Eng. 37, 2819–2839.
Cui  W and Wisnom  MR (1993), A combined stress based and fracture mechanics based model for predicting delamination in composites, Composites 24, 467–474.
Bui  VQ, Marechal  E, and Nguyen-Dang  H (2000), Imperfect interlaminar interfaces in laminated composites: interlaminar stresses and strain-energy release rates, Compos. Sci. Technol. 60, 131–143.
Yan  A-M, Marechal  E, and Nguyen-Dang  H (2001), A finite-element model of mixed-mode delamination in laminated composites with an R-curve effect, Compos. Sci. Technol. 61, 1413–1427.
Williams  TO and Addessio  FL (1997), A general theory for laminated plates with delaminations, Int. J. Solids Struct. 34(16), 2003–2024.
Williams  TO (2001), Efficiency and accuracy considerations in a unified plate theory with delamination, Compos. Struct. 52, 27–40.
El-Sayed  S and Sridharan  S (2001), Predicting and tracking interlaminar crack growth in composites using a cohesive layer model, Obes. Res. 32, 545–553.
Mohammadi  S, Owen  DRJ, and Peric  D (1998), A combined finite/discrete element algorithm for delamination analysis of composites, Finite Elem. Anal. Design 28, 321–336.
Borg  R, Nilsson  L, and Simonsson  K (2001), Simulation of delamination in fiber composites with a discrete cohesive failure model, Compos. Sci. Technol. 61, 667–677.
Shahwan  KW and Waas  AM (1997), Non-self-similar decohesion along a finite interface of unilaterally constrained delaminations, Proc. R. Soc. London, Ser. A 453, 515–550.
Whitcomb  JD (1989), Three-dimensional analysis of a postbuckled embedded delamination, J. Compos. Mater. 23, 862–889.
Klug  J, Wu  XX, and Sun  CT (1996), Efficient modeling of postbuckling delamination growth in composite laminates using plate elements, posite laminates using plate elements, AIAA J. 34(1), 178–184.
Pavier  MJ and Clarke  MP (1996), A specialized composite plate element for problems of delamination buckling and growth, Compos. Struct. 34, 43–53.
Zou  Z, Reid  SR, Soden  PD, and Li  S (2001), Mode separation of energy release rate for delamination in composite laminates using sublaminates, Int. J. Solids Struct. 38, 2597–2613.
Toya  M, Aritomi  M, and Chosa  A (1997), Energy release rates for an interface crack embedded in a laminated beam subjected to three point bending, ASME J. Appl. Mech. 64, 375–382.
Chattopadhyay  A and Gu  H (1994), New higher order plate theory in modeling delamination buckling of composite laminates, AIAA J. 32(8), 1709–1716.
Sankar  BV and Sonik  V (1995), Pointwise energy release rate in delaminated plates, AIAA J. 33(7), 1312–1318.
Falzon  BG, Hitchings  D, and Besant  T (1999), Fracture mechanics using a 3D composite element, Compos. Struct. 45, 29–39.
Parisch  H (1995), A continuum-based shell theory for non-linear applications, Int. J. Numer. Methods Eng. 38, 1855–1883.
Barbero  EJ and Reddy  JN (1991), Modeling of delamination in composite laminates using a layer-wise plate theory, Int. J. Solids Struct. 28(3), 373–388.
Moorthy  CMD and Reddy  JN (1998), Modelling of laminates using a layerwise element with enhanced strains, Int. J. Numer. Methods Eng. 43, 755–779.
Moorthy  CMD and Reddy  JN (1999), Recovery of interlaminar stresses and strain energy release rates in composite laminates, Finite Elem. Anal. Design 33, 1–27.
Krüger R and König M (1997), Prediction of delamination growth under cyclic loading, Composite Materials: Fatigue and Fracture, Sixth Volume, STP 1285, EA Armanios (ed), ASTM, Philadelphia, 162–178.
Krueger  R and O’Brien  TK (2001), A shell/3D modeling technique for the analysis of delaminated composite laminates, Composites, Part A 32, 25–44.
Ang  HE, Torrance  JE, and Tan  CL (1996), Boundary element analysis of orthotropic delamination specimens with interface cracks, Eng. Fract. Mech. 54(5), 601–615.
Kimachi  H, Tanaka  H, and Tanaka  K (1999), Transition from small to large interlaminar cracks in fiber-reinforced laminated composites, JSME Int. J., Ser. A 42(4), 537–545.
Lindemann  J and Becker  W (2000), Analysis of the free-edge effect in composite laminates by the boundary finite element method, Mech. Compos. Mater. 36(3), 207–214.
Chai  H, Babcock  CD, and Knauss  WG (1981), One dimensional modelling of failure in laminated plates by delamination buckling, Int. J. Solids Struct. 17(11), 1069–1083.
Bottega  WJ and Maewal  A (1983), Delamination buckling and growth in laminates, ASME J. Appl. Mech. 50, 184–189.
Yin  W-L (1985), Axisymmetric buckling and growth of a circular delamination in a compressed laminate, Int. J. Solids Struct. 21(5), 503–514.
Chai  H and Babcock  CD (1985), Two-dimensional modelling of compressive failure in delaminated laminates, J. Compos. Mater. 19, 67–98.
Simitses  GJ, Sallam  S, and Yin  W-L (1985), Effect of delamination of axially loaded homogeneous laminated plates, AIAA J. 23(9), 1437–1444.
Kachanov LM (1988), Delamination Buckling of Composite Materials, Kluwer Academic Publ, Dordrecht.
Chai  H, Knauss  WG, and Babcock  CD (1983), Observation of damage growth in compressively loaded laminates, Exp. Mech. 23, 329–337.
Simitses GJ (1995), Delamination buckling of flat laminates, Buckling and Postbuckling of Composite Plates, GJ Turvey and IH Marshall (eds), Chapman & Hall, London, 299–328.
Suemasu  H (1991), Analytical study of shear buckling and postbuckling behaviors of composite plates with a delamination, JSME Int. J. Series I 34(2), 135–142.
Suemasu  H, Gozu  K, and Hayashi  K (1995), Compressive buckling of rectangular composite plates with a free-edge delamination, AIAA J. 33(2), 312–319.
Davidson  BD (1991), Delamination buckling: theory and experiment, J. Compos. Mater. 25, 1351–1378.
Kardomateas  GA (1993), The initial post-buckling and growth behavior of internal delaminations in composite plates, ASME J. Appl. Mech. 60, 903–910.
Kardomateas  GA and Pelegri  AA (1994), The stability of delamination growth in compressively loaded composite plates, Int. J. Fract. 65, 261–276.
Kardomateas  GA and Pelegri  AA (1996), Growth behavior of internal delaminations in composite beam/plates under compression: effect of the end conditions, Int. J. Fract. 75, 49–67.
Kardomateas  GA (1996), Predicting the growth of internal delaminations under monotonic or cyclic compression, Key Eng. Mater. 121–122, 441–462.
Bruno  D and Greco  F (2000), An asymptotic analysis of delamination buckling and growth in layered plates, Int. J. Solids Struct. 37, 6239–6276.
Larsson  P-L (1991), On delamination buckling and growth in circular and annular orthotropic plates, Int. J. Solids Struct. 27(1), 15–28.
Chen  H-P (1991), Shear deformation theory for compressive delamination buckling and growth, AIAA J. 29(5), 813–819.
Kyoung  W-M and Kim  C-G (1995), Delamination buckling and growth of composite laminated plates with transverse shear deformation, J. Compos. Mater. 29(15), 2047–2068.
Sheinman  I and Soffer  M (1991), Post-buckling analysis of composite delaminated beams, Int. J. Solids Struct. 27(5), 639–646.
Anastasiadis  JS and Simitses  GJ (1991), Spring simulated delamination of axially-loaded flat laminates, Compos. Struct. 17, 67–85.
Madenci  E and Westmann  RA (1993), Local delamination growth in layered systems under compressive load, ASME J. Appl. Mech. 60, 895–902.
Storåkers  B and Nilsson  K-L (1993), Imperfection sensitivity at delamination buckling and growth, Int. J. Solids Struct. 30(8), 1057–1074.
Mukherjee  YX, Xie  Z, and Ingraffea  AR (1991), Delamination buckling of laminated plates, Int. J. Numer. Methods Eng. 32, 1321–1337.
Srivatsa  KS, Vidyashankar  BR, Krishna Murty  AV, and Vijaykumar  K (1993), Buckling of laminated plates containing delaminations, Comput. Struct. 48, 907–912.
Hu  N , Fukunaga  H, Sekine  H, and Kouchakzadeh  MA (1999), Compressive buckling of laminates with an embedded delamination, Compos. Sci. Technol. 59, 1247–1260.
Jøgensen  O (1993), Delamination vs. matrix cracking in layered composites subjected to transverse loading, Engrg. Frac. Mech. 46(6), 945–953.
Cochelin  B and Potier-Ferry  M (1991), A numerical model for buckling and growth of delaminations in composite laminates, Comput. Methods Appl. Mech. Eng. 89, 361–380.
Kim  H-J (1997), Postbuckling analysis of composite laminates with a delamination, Comput. Struct. 62(6), 975–983.
Kim  H-J and Hong  C-S (1997), Buckling and postbuckling behavior of composite laminates with an embedded delamination, Compos. Sci. & Technol. 57, 557–564.
Ochoa  OO and Castano-Pardo  D (1991), Delamination in composites: non-linear effects, Int. J. Non-Linear Mech. 26(3–4), 319–333.
Gaudenzi  P, Perugini  P, and Spadaccia  F 1998), Post-buckling analysis of a delaminated composite plate under compression, Compos. Struct. 40, 231–238.
Perugini  P, Riccio  A, and Scaramuzzino  F (1999), Influence of delamination growth and contact phenomena on the compressive behavior of composite panels, J. Compos. Mater. 33(15), 1433–1456.
Pradhan  SC and Tay  TE (1998), Three-dimensional finite element modelling of delamination growth in notched composite laminates under compression loading, Eng. Fract. Mech. 60(2), 157–171.
Tay TE and Shen F (2000), Prediction of delamination growth in laminated composites, Proc of2nd Asian-Australasian Conf on Composite Materials (ACCM-2000), 2 , (Kyongju, Korea), CS Hong and CG Kim (eds), Korean Soc for Composite Materials, Taejon, 1033–1038.
Tay  TE and Shen  F (2002), Analysis of growth in laminated composites with consideration for residual thermal stress effects, J Compos Mater 36(11), 1299–1320.
Shen  F, Lee  KH, and Tay  TE (2001), Modeling delamination growth in laminated composites, Compos. Sci. Technol. 61, 1239–1251.
Gaudenzi  P, Perugini  P, and Riccio  A (2001), Post-buckling behavior of composite panels in the presence of unstable delaminations, Compos. Struct. 51, 301–309.
Riccio  A, Perugini  P, and Scaramuzzino  F (2000), Modelling compression behavior of delaminated composite panels, Comput. Struct. 78, 73–81.
Mukherjee  YX, Gulrajani  SN, Mukherjee  S, and Netravali  AN (1994), A numerical and experimental study of delaminated layered composites, J. Compos. Mater. 28(9), 837–870.
Czarnocki P (1999), Effect of reinforcement arrangement on distribution of GI,GII and GIII along fronts of circular delaminations in orthotropic composite plates, Proc. of2ndESIS TC4 Conf on Fracture of Polymers, Composites and Adhesives, JG Williams and A Pavan (eds), 49–60.
Nilsson  K-F, Asp  LE, Alpman  JE, and Nystedt  L (2001), Delamination buckling and growth for delaminations at different depths in a slender composite panel, Int. J. Solids Struct. 38, 3039–3071.
Nilsson  K-F, Thesken  JC, Sindelar  P, Giannakopoulos  AE, and Storåkers  B (1993), A theoretical and experimental investigation of buckling induced delamination growth, J. Mech. Phys. Solids 41, 749–782.
Nilsson  K-F and Giannakopoulos  AE (1995), A finite element analysis of configurational stability and finite growth of buckling driven delamination, J. Mech. Phys. Solids 43, 1983–2021.
Giannakopoulos  AE, Nilsson  K-F, and Tsamasphyros  G (1995), The contact problem at delamination, ASME J. Appl. Mech. 62, 989–996.
Nilsson  K-F, Asp  LE, and Sjögren  A (2001), On transition of delamination growth behavior for compression loaded composite panels, Int. J. Solids Struct. 38, 8407–8440.
Jönsson  N and Storåkers  B (1996), On buckling and fracture behavior of delaminations, Eur. J. Mech. A/Solids 15(2), 183–198.
Pavier  MJ and Chester  WT (1990), Compression failure of carbon fiber reinforced coupons containing central delaminations, Composites 21, 23–31.
Pavier  MJ and Clarke  MP (1996), Finite element prediction of the post-impact compressive strength of fiber composites, Compos. Struct. 36, 141–153.
Short  GJ, Guild  FJ, and Pavier  MJ (2001), The effect of delamination geometry on the compressive failure of composite laminates, Compos. Sci. Technol. 61, 2075–2086.
Gu  H and Chattopadhyay  A (1999), An experimental investigation of delamination buckling and postbuckling of composite laminates, Compos. Sci. Technol. 59, 903–910.
Aslan  M and Banks  WM (1998), The effect of multiple delamination on postbuckling behavior of laminated composite plates, Compos. Struct. 42, 1–12.
Peck  SO and Springer  GS (1991), The behavior of delaminations in composite plates–analytical and experimental results, J. Compos. Mater. 25, 907–929.
Melin  LG and Schön  J (2001), Buckling behavior and delamination growth in impacted composite specimens under fatigue load: an experimental study, Compos. Sci. Technol. 61, 1841–1852.
Yeh  M-K and Tan  C-M (1994), Buckling of elliptically delaminated composite plates, J. Compos. Mater. 28(1), 36–52.
Asp  LE, Nilsson  S, and Singh  S (2001), An experimental investigation of the influence of delamination growth on the residual strength of impacted laminates, Composites, Part A 32, 1229–1235.
Lachaud  F, Lorrain  B, Michel  L, and Barriol  R (1998), Experimental and numerical study of delamination caused by local buckling of thermoplastic and thermoset composites, Compos. Sci. Technol. 58, 727–733.
Krüger  R, Rinderknecht  S, Hänsel  C, and König  M (1996), Computational structural analysis and testing: an approach to understand delamination growth, Key Eng. Mater. 121–122, 181–202.
Simitses  GJ (1996), Buckling of pressure-loaded, delaminated, cylindrical shells and panels, Key Eng. Mater. 121–122, 407–426.
Yin  WL (1996), Snap buckling of thin delaminated layers in a contracting cylinder, Key Eng. Mater. 121–122, 427–440.
Kardomateas  GA and Chung  CB (1992), Thin film modeling of delamination buckling in pressure loaded laminated cylindrical shells, AIAA J. 30(8), 2119–2123.
Wu  LC, Lo  CY, Nakamura  T, and Kushner  A (1998), Identifying failure mechanisms of composite structures under compressive load, Int. J. Solids Struct. 35(12), 1137–1161.
Abraham  FF, Brodbeck  D, Rudge  WE, and Xu  X (1997), A molecular dynamics investigation of rapid fracture mechanics, J. Mech. Phys. Solids 45(9), 1595–1619.
Stevens  MJ (2001), Interfacial fracture between highly cross-linked polymer networks and a solid surface: effect of interfacial bond density, Macromolecules 34, 2710–2718.
Sides  SW, Grest  GS, and Stevens  MJK (2002), Large-scale simulation of adhesion dynamics for end-grafted polymers, Macromolecules 35, 566–573.

Transmitted by Associate Editor JN Reddy

Figures

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The split cantilever beam (SCB) specimen (a), and the crack rail shear (CRS) specimen (b), after Martin 48 (reprinted with permission of ASTM International)
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Formation of shear hackles and shear crevices, after Trakas and Kortschot 50 (reprinted with permission of ASTM International)
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Example of mixed-mode delamination fatigue data, after Kenane and Benzeggagh 57 (reprinted with permission of Elsevier Science)
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Mixed-mode fatigue data for IM7/5260, after Martin et al. 56 (reprinted with permission of ASTM International)
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Development of shear microcracks and displacements in Mode II delamination, after Dahlen and Springer 65
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Comparison of fracture toughness for the three modes for G40-800/R6376 graphite-epoxy laminates, after Li et al. 43 (reprinted with permission of ASTM International)
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Edge-cracked torsion (ECT) specimen, after Li and Wang 39 (reprinted with permission of ASTM International)
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Crack opening displacements (COD) vs x (distance from the crack tip) for a unidirectional AS4/3501-6 specimen with a 19 mm pre-crack, under global pure Mode II loading (after Paris and Poursatip 37). Dashed lines show COD profiles for GIL that best fit the measurements.
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Local crack opening displacement created under global shear loading, after Paris and Poursatip 37
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Scanning electron micrographs showing the coalescence of microcracks into hackles in the wake of a delamination crack tip in AS4/3501-6, after Sjögren and Asp 36.
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Scanning electron micrographs showing the formation of microcracks ahead of a delamination crack tip in AS4/3502, after Sjögren and Asp 36.
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Mixed-mode bend specimen, after Martin 52
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Mode I, Mode II, and mixed-mode fracture toughness for various composites, after Johnson and Mangalgiri 19 (reprinted with permission of ASTM International)
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Four-point end-notched flexure (4ENF) specimen, after Schuecker and Davidson 17 (reprinted with permission of Elsevier Science)
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End-loaded split (ELS) specimen, after Martin 52
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End-notched flexure (ENF) specimen, after Martin 52
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Beam model and loading for global partitioning of SERR, after Williams 103
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Crack jumping and delamination along different interfaces in a multidirectional ENF laminate, after Tao and Sun 114
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Mode II dominated critical SERR of 0/θ interfaces of AS4/3501-6 laminates, after Tao and Sun 114
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Finite element simulation of an embedded delamination under compression, with and without consideration of contact, after Rinderknecht and Kröplin 137; only a quarter of the plate was modeled (reprinted with permission of Taylor and Francis, Inc).
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Numerical simulation of deformed configurations of a [03 // 903 //453 //−45/−453 //453 //903 // 03 ] laminate containing six delaminations with an umbrella-shaped distribution as a function of the applied load, after Kutlu and Chang 144
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Continuum elements connected by line interface elements, after Schellekens and De Borst 166
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Traction (tn)-displacement (vn) diagram for discrete crack model, after Schellekens and De Borst 166
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Plate attached to a bed of elastic axial rods, after Shahwan and Waas 188. The length of rods is exaggerated for clarity. Theoretically, the number of rods is infinite, but for computational purposes, the number is finite and is equal to the number of integration points (reprinted with permission of The Royal Society).
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Sequence of pictures showing the progression of delamination (dark areas), after Shahwan and Waas 188 (reprinted with permission of The Royal Society)
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Application of shell/3D modeling technique to large built-up structures, after Krueger and O’Brien 202 (reprinted with permission of Elsevier Science)
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Comparison of total SERR, using a fracture mechanics (FM) approach, and a damage mechanics (DM) approach, after Rinderknecht and Kröplin 137. The model is shown in Fig. 33. The 3D FEM solution shown is Whitcomb’s 134 (reprinted with permission of Taylor and Francis, Inc).
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SERR components along the delamination front, after Rinderknecht and Kröplin 137. The model is shown in Fig. 33. The 3D FEM solutions shown are Whitcomb’s 134 (reprinted with permission of Taylor and Francis, Inc).
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Thin-film delamination model for a cross-ply [0/90/0]10T laminate, after Simitses 213
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Full 3D finite element model of an embedded delamination, after Tay and Shen 241
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Mode I SERR along delamination front (two-ply delamination), after Tay and Shen 241
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Mode II SERR along delamination front (two-ply delamination), after Tay and Shen 241
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C-scan image and directions of maximum SERRs for a two-ply delamination, after Tay and Shen 241
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C-scan image and directions of maximum SERRs for a three-ply delamination, after Tay and Shen 241
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C-scan image and directions of maximum SERRs for a four-ply delamination, after Tay and Shen 241
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Measured load vs out-of-plane displacement of lower u3L and upper u3Uside of panels of [(90/0)17/90] carbon fiber-epoxy with embedded delaminations, after Nilsson et al. 247. A3_10_2, A5_5_2 and A7_5_2 refer to laminates with delaminations embedded after the third, fifth, and seventh ply, respectively. Ref #2 and Ref #3 do not contain delaminations (reprinted with permission of Elsevier Science).
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Moving finite element mesh at 15 mm growth for a three-ply delamination, after Nilsson et al. 247. Shaded area denote contact and load direction is x1 (reprinted with permission of Elsevier Science).
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Angle-ply laminate double cantilever beam specimen with curved cross section, after Ozdil and Carlsson 164
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Molecular dynamics simulation of interfacial failure between epoxy and solid surface under tensile pull, after Stevens 269 (reprinted with permission of the American Chemical Society)
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Double cantilever beam (DCB) specimen, after Martin 52
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Three general modes of fracture
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Interface crack between two dissimilar materials
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Schematic of (a) 2D and (b) 3D crack fronts in the VCCT
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Comparison of computed SERRs from the resin layer and bare interface models, after Raju et al. 82. In Raju’s notation, Δ is the increment in crack length (reprinted with permission of Elsevier Science).
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Computed SERRs of a center cracked bimaterial plate subjected to tension, after Dattaguru et al. 81 (reprinted with permission of Elsevier Science)
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Plate element model of skin and stiffener, after Wang and Raju 84 (reprinted with permission of Elsevier Science)
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VCCT with four-noded plate elements, after Wang and Raju 84 (reprinted with permission of Elsevier Science)
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VCCT with nine-noded plate elements, after Wang and Raju 84 (reprinted with permission of Elsevier Science)
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Plate and 2D plane-strain finite element models of stiffener flange-skin strip, after Wang and Raju 84 (reprinted with permission of Elsevier Science)
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Comparison of SERRs obtained by Technique B, after Wang and Raju 84 (reprinted with permission of Elsevier Science)
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Comparison of SERRs obtained by Technique A, after Wang and Raju 84 (reprinted with permission of Elsevier Science)
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Crack tip element for plate theory, after Schapery and Davidson 86

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