Sinclair
GB (2004), Stress singularities in classical elasticity—I: Removal, interpretation, and analysis, Appl. Mech. Rev. 57, 251-298.

Williams
ML (1952), Stress singularities resulting from various boundary conditions in angular corners of plates in extension, ASME J. Appl. Mech. 19, 526–528.

Dempsey
JP, and Sinclair
GB (1979), On the stress singularities in the plane elasticity of the composite wedge, J. Elast. 9, 373–391.

Rao AK (1958), A study into the problem of diffusion of loads, Doctoral Dissertation, Univ of London, London, UK.

Johnson KL (1985), *Contact Mechanics*, Cambridge Univ Press, Cambridge, UK.

Winkler E (1867), *Theory of Elasticity and Strength*, (German), H Dominicus Press, Prague, Austria.

Oravas
GA (1964), Review Number 4988, Appl. Mech. Rev. 17, 684.

Euler
L (1774), The pressure in planes from weights that settle (Latin), Novi Commun Acad Petropolit 18, 283–329.

Nuller
BM (1974), Deformation of an elastic wedge reinforced by a beam, J. Appl. Math. Mech. 38, 823–829.

Ting
TCT (1985), Asymptotic solution near the apex of an elastic wedge with curved boundaries, Q. Appl. Math. 42, 467–476.

Gregory
RD (1979), Green’s functions, bi-linear forms, and completeness of the eigenfunctions for the elastostatic strip and wedge, J. Elast. 9, 283–309.

Knowles
JK, and Pucik
TA (1973), Uniqueness for plane crack problems in linear elastostatics, J. Elast. 3, 155–160.

Lighthill MJ (1975), *Introduction to Fourier Analysis and Generalized Functions*, Cambridge Univ Press, Cambridge, UK.

Kolossoff G (1910), On an application of the theory of complex variables to the two-dimensional problem of elasticity theory, Doctoral Dissertation, St Petersburg, Russia.

Kolossoff
G (1914), On some properties of the plane problem of elasticity theory (German), Z. Math. Phys. 62, 384–409.

Inglis
CE (1913), Stresses in a plate due to the presence of cracks and sharp corners, Soc. Nav. Archit. Mar. Eng., Trans. 55, 219–241.

Neuber H 1946, *Theory of Notch Stresses*, JW Edwards Co, Ann Arbor MI.

Kitover
KA (1952), On the use of special systems of biharmonic functions for the solution of some problems in the theory of elasticity (Russian), Prikl. Mat. Mekh. 16, 739–748.

Kalandiia
AI (1969), Remarks on the singularity of elastic solutions near corners, J. Appl. Math. Mech. 33, 127–131.

Seweryn
A, and Molski
K (1996), Elastic stress singularities and corresponding generalized stress intensity factors for angular corners under various boundary conditions, Eng. Fract. Mech. 55, 529–556.

Dempsey JP (1978), On the stress singularities in the plane elasticity of the composite wedge, Doctoral Dissertation, Univ of Auckland, Auckland, New Zealand.

Gdoutos
EE, and Theocaris
PS (1975), Stress concentrations at the apex of a plane indentor acting on an elastic half plane, ASME J. Appl. Mech. 42, 688–692.

Sinclair
GB (1996), On the influence of cohesive stress-separation laws on elastic stress singularities, J. Elast. 44, 203–221.

Rössle
A (2000), Corner singularities and regularity of weak solutions for the two-dimensional Lamé equations on domains with angular corners, J. Elast. 60, 57–75.

Rösel
R (1987), On the wedge/notch eigenvalues, Int. J. Fract. 33, 61–71.

Karp
SN, and Karal
FC (1962), The elastic-field behavior in the neighborhood of a crack of arbitrary angle, Commun. Pure Appl. Math. 15, 413–421.

Sinclair GB, Khatod HN, and Rummel CW (2003), On the removal of stress singularities from sharp corners, *Proc of the 19 Canadian Congress of Applied Mechanics*, Vol. 1, Calgary, Alberta, 1, 94–95.

Williams
ML (1953), Discussion of ‘Stress singularities resulting from various boundary conditions in angular corners of plates in extension,Discussion of ‘Stress singularities resulting from various boundary conditions in angular corners of plates in extension,’ ASME J. Appl. Mech. 20, 590.

Ricci L (1951), *Table of Minimum Roots of an Equation of Interest in Solid Mechanics* (Italian), Pubblicazioni No 296, Istituto per le Applicazioni del Calcolo, Rome, Italy.

Klingbeil NW (1996), private communication.

England
AH (1971), On stress singularities in linear elasticity, Int. J. Eng. Sci. 9, 571–585.

Smallwood BS (1996), private communication.

Dempsey
JP (1995), Power-logarithmic stress singularities at bi-material corners and interface cracks, J. Adhes. Sci. Technol. 9, 253–265.

Sinclair
GB (1999), Logarithmic stress singularities resulting from various boundary conditions in angular corners of plates in extension, ASME J. Appl. Mech. 66, 556–560.

Browning
RV, and Ju
FD (1977), Stress singularities at an elastic crack with arbitrary surface loads, including possible fracture mechanics applications, J. Math. Anal. Appl. 58, 482–496.

ANSYS personnel (1995), *ANSYS User’s Manual*, Revision 5.2, Vol I, ANSYS Inc, Canonsburg, PA.

ABAQUS personnel (1997), *ABAQUS Standard User’s Manual*, Revision 5.7, Vol I, Hibbitt, Karlsson and Sorensen, Inc, Pawtucket, RI.

Sinclair
GB, and Epps
BE (2002), On the logarithmic stress singularities induced by the use of displacement shape functions in boundary conditions in submodelling, Commun. Numer. Methods Eng. 18, 121–130.

Dempsey
JP (1981), The wedge subjected to tractions: A paradox resolved, J. Elast. 11, 1–10.

Sinclair
GB (1998), Further paradoxes in generalized Levy problems, J. Elast. 50, 253–259.

Levy
M (1898), On the elastic equilibrium of a masonry dam of triangular cross section (French), Acad. Sci., Paris, C. R. 127, 10–15.

Timoshenko SP, and Goodier JN (1970), *Theory of Elasticity*, 3rd Edition, McGraw-Hill, New York, NY.

Fillunger
P (1912), Three important plane states of stress for wedge-shaped bodies (German), Z. Angew. Math. Mech. 60, 275–285.

Ting
TCT (1984), The wedge subjected to tractions: A paradox re-examined, J. Elast. 14, 235–247.

Sternberg
E, and Koiter
WT (1959), Discussion of “The wedge under a concentrated couple: A paradox in the two-dimensional theory of elasticity,” ASME J. Appl. Mech. 26, 472–474.

Sneddon IN (1951), *Fourier Transforms*, McGraw-Hill, New York, NY.

Brock
LM (1979), Frictionless indentation by a rigid wedge: The effect of tangential displacements in the contact zone, Int. J. Eng. Sci. 17, 365–372.

Rao
AK (1971), Stress concentrations and singularities at interface corners, Z. Angew. Math. Mech. 51, 395–406.

Erdogan
F, and Gupta
GD (1972), Stresses near a flat inclusion in bonded dissimilar materials, Int. J. Solids Struct. 8, 533–547.

Jones
JP, and Whittier
JS (1967), Waves at a flexibly bonded interface, ASME J. Appl. Mech. 34, 905–909.

Lene
F, and Leguillon
D (1982), Homogenized constitutive law for a partially cohesive composite material, Int. J. Solids Struct. 18, 443–458.

Ying
X, and Katz
IN (1987), A uniform formulation for the calculation of stress singularities in the plane elasticity of a wedge composed of multiple isotropic materials, Comput. Math. Appl. 14, 437–458.

Dundurs
J (1969), Discussion of “Edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading,” ASME J. Appl. Mech. 36, 650–652.

Bogy
DB (1968), Edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading, ASME J. Appl. Mech. 35, 460–466.

Zak
AR, and Williams
ML (1963), Crack point stress singularities at a bi-material interface, ASME J. Appl. Mech. 30, 142–143.

Dundurs
J (1967), Effect of elastic constants on stress in a composite under plane deformation, J. Compos. Mater. 1, 310–322.

Koguchi
H, Inoue
T, and Yada
T (1996), Stress singularity in three-phase bonded structure, ASME J. Appl. Mech. 63, 252–258.

Williams
MI (1959), The stresses around a fault or crack in dissimilar media, Bull. Seismol. Soc. Am. 49, 199–204.

Bogy
DB (1971), Two edge-bonded elastic wedges of different materials and wedge angles under surface tractions, ASME J. Appl. Mech. 38, 377–386.

Theocaris
PS, and Gdoutos
EE (1977), Stress singularities in cracked composite full-planes, Int. J. Fract. 13, 763–773.

Ting
TCT (1986), Explicit solution and invariance of the singularities at an interface crack in anisotropic composites, Int. J. Solids Struct. 22, 965–983.

Ballarini
R (1990), A rigid line inclusion at a bimaterial interface, Eng. Fract. Mech. 37, 1–5.

Comninou
M (1977), Interface crack with friction in the contact zone, ASME J. Appl. Mech. 44, 780–781.

Dempsey
JP, and Sinclair
GB (1981), On the singular behavior at the vertex of a bi-material wedge, J. Elast. 11, 317–327.

Comninou
M (1977), The interface crack, ASME J. Appl. Mech. 44, 631–636.

Comninou
M (1976), Stress singularity at a sharp edge in contact problems with friction, Z. Angew. Math. Phys. 27, 493–499.

Dundurs
J, and Lee
M-S (1972), Stress concentration at a sharp edge in contact problems, J. Elast. 2, 109–112.

Wu
K-C (1990), Line inclusions at anisotropic bimaterial interface, Mech. Mater. 10, 173–182.

Chen
YZ, and Hasebe
N (1993), Singularity eigenvalue analysis of a crack along a wedge-shaped interface, ASME J. Appl. Mech. 60, 781–783.

Van Vroonhoven
JCW (1992), Stress singularities in bi-material wedges with adhesion and delamination, Fatigue Fract. Eng. Mater. Struct. 15, 159–171.

Bogy
DB, and Wang
KC (1971), Stress singularities at interface corners in bonded dissimilar isotropic elastic materials, Int. J. Solids Struct. 7, 993–1005.

Chen
D-H, and Nisitani
H (1993), Singular stress field near the corner of jointed dissimilar materials, ASME J. Appl. Mech. 60, 607–613.

Pageau
SS, Joseph
PF, and Biggers
SB (1994), The order of stress singularities for bonded and disbonded three-material junctions, Int. J. Solids Struct. 31, 2979–2997.

Chaudhuri
RA, Xie
M, and Garala
HJ (1996), Stress singularity due to kink band weakening a unidirectional composite under compression, J. Compos. Mater. 30, 672–691.

Khrapkov
AA (1968), First fundamental problem for a piecewise-homogeneous plane with a slit perpendicular to the line of separation, J. Appl. Math. Mech. 32, 666–678.

Bogy
DB (1971), On the plane elastostatic problem of a loaded crack terminating at a material interface, ASME J. Appl. Mech. 38, 911–918.

Comninou
M, and Dundurs
J (1979), A closed crack tip terminating at an interface, ASME J. Appl. Mech. 46, 97–100.

Wijeyewickrema
AC, Dundurs
J, and Keer
LM (1995), The singular stress field of a crack terminating at a frictional interface between two materials, ASME J. Appl. Mech. 62, 289–293.

Gharpuray
VM, Dundurs
J, and Keer
LM (1991), A crack terminating at a slipping interface between two materials, ASME J. Appl. Mech. 58, 960–963.

Fenner
DN (1976), Stress singularities in composite materials with an arbitrarily oriented crack meeting an interface, Int. J. Fract. 12, 705–721.

Yong-Li
W (1992), Crack tip stress singularities in a bimaterial with an inclined interface, Int. J. Fract. 54, R65–R72.

Wang
W-C, and Chen
J-T (1994), Singularities of an arbitrarily inclined semi-infinite crack meeting a bimaterial interface, Eng. Fract. Mech. 49, 671–680.

Tan MA, and Meguid SA (1997), Stress singularities of a sharp notch terminating at a bimaterial interface, *Proc of 16th Canadian Congress of Applied Mechanics* Vol 1, Laval Univ, Quebec, Canada, 17–18.

Pinsan
C, and Zhuping
D (1991), Singular behavior and asymptotic stress field of a crack terminating at a bimaterial interface, Acta Mech. Sin. 7, 344–350.

Bogy
DB (1970), On the problem of edge-bonded quarter-planes loaded at the boundary, Int. J. Solids Struct. 6, 1287–1313.

Hein
VL, and Erdogan
F (1971), Stress singularities in a two-material wedge, Int. J. Fract. Mech. 7, 317–330.

Kubo S, Ohji K, and Nakai Y (1991), Free-edge singularities in edge-bonded elastic dissimilar wedges—geometrical conditions for appearance and disappearance of stress singularities, Report of the 61st Meeting of the Committee on Fracture Mechanics, Vol 39, Soc of Materials Science, Japan, 13–17 (this work is summarized in Murakami

95).

Theocaris
PS, and Gdoutos
EE (1976), Stress singularities at equal angle biwedges and two-material composite half planes with rough interfaces, ASME J. Appl. Mech. 43, 64–68.

Theocaris
PS, and Gdoutos
EE (1976), Stress singularities at vertices of composite plates with smooth or rough interfaces, Arch. Mech. Stosow. 28, 693–704.

Aksentian
OK (1967), Singularities of the stress-strain state of a plate in the neighborhood of an edge, J. Appl. Math. Mech. 31, 193–202.

Avetisian
AG, and Chobanian
KS (1972), On the nature of stresses in the fixed vicinity of the junction surface brink of a composite elastic body loaded in conditions of a plane problem of the elasticity theory (Russian), Dokl. Akad. Nauk Arm. SSR 25, 13–25.

Picu
CR, and Gupta
V (1996), Stress singularities at triple junctions with freely sliding grains, Int. J. Solids Struct. 33, 1535–1541.

Inoue
T, and Koguchi
H (1996), Influence of the intermediate material on the order of stress singularity in three-phase bonded structure, Int. J. Solids Struct. 33, 399–417.

Pageau
SS, Gadi
KS, Biggers
SB, and Joseph
PF (1996), Standardized complex and logarithmic eigensolutions for n-material wedges and junctions, Int. J. Fract. 77, 51–76Pageau SS, Gadi KS, Biggers Jr SB, and Joseph PF (See also:Int. J. Fract. IJFRAP80, 97).

Murakami Y (1992), Stress singularity for notch at bimaterial interface, *Stress Intensity Factors Handbook* Vol 3, Y Murakami et al (eds), Pergamon Press, Oxford, UK, 963–1062.

Chen
D-H (1996), Logarithmic singular stress field in a semi-infinite plate consisting of two edge-bonded wedges subjected to surface tractions, Int. J. Fract. 75, 352–378.

Courant R and Hilbert D (1953), *Methods of Mathematical Physics*, 1st English Edition, Vol I, Interscience Publ, New York, NY.

de Saint-Venant
B (1878), On the torsion of prisms with bases made of circular arcs and radial lines, and on a singularity which can be found in certain uses of the logarithmic cylindrical coordinate system of Lamé (French), Acad. Sci., Paris, C. R. 87, 849–854.

Sinclair
GB (1980), On the singular eigenfunctions for plane harmonic problems in composite regions, ASME J. Appl. Mech. 47, 87–92.

Thomson W, and Tait PG (1867), *A Treatise on Natural Philosophy*, Cambridge Univ Press, Cambridge, UK (This book is also available in two parts as *Principles of Mechanics and Dynamics*, Dover Publ, New York, NY).

de Saint-Venant
B (1878), Sample calculations for the torsion of prisms with bases made of circular arcs and radial lines (French), Acad. Sci., Paris, C. R. 87, 893–899.

Irwin GR, and Kies JA (1957), Fracture, *Proc of ONR Symp*, Washington DC, 563–571.

Wasow
W (1957), Asymptotic development of the solution of Dirichlet’s Problem at analytic corners, Duke Math. J. 24, 47–56.

Ting
TCT (1985), Elastic wedge subjected to antiplane shear tractions—A paradox explained, Q. J. Mech. Appl. Math. 38, 245–255.

Sinclair
GB (1999), A note on the removal of further breakdowns in classical solutions of Laplace’s equation on sectorial regions, J. Elast. 56, 247–252.

Ma
C-C, and Hour
B-L (1989), Analysis of dissimilar anisotropic wedges subjected to antiplane shear deformation, Int. J. Solids Struct. 25, 1295–1309.

Sinclair GB (2000), Logarithmic stress singularities in two-dimensional and three-dimensional elasticity, *Proc of 20th Southeastern Conf of Theoretical and Applied Mechanics*, Callaway Gardens, GA, SM94.1–8.

Barnett
DM (1967), The effect of shear modulus on the stress distribution produced by a planar array of screw dislocations near a bi-metallic interface, Acta Metall. 15, 589–594.

Sendeckyj GP (1973), Analysis of cracks in heterogeneous solids, *Fracture Mechanics of Ceramics*, Vol 1, RC Bradt, DPH Hasselman, and FF Lang (eds), Plenum Press, New York, NY, 269–282.

Pageau
SS, Joseph
PF, and Biggers
SB (1995), Singular antiplane stress fields for bonded and disbonded three-material junctions, Eng. Fract. Mech. 52, 821–832.

Keer
LM, and Freeman
NJ (1970), Load transfer problem for an embedded shaft in torsion, ASME J. Appl. Mech. 37, 959–964.

Love AEH (1944), *A Treatise on the Mathematical Theory of Elasticity*, 4th Edition, Dover Publ, New York, NY.

Kirchhoff
G (1850), On the equilibrium and deflection of an elastic plate (German), J. Reine Angew. Math. 40, 51–88.

Timoshenko SP, and Woinowsky-Krieger S (1959), *Theory of Plates and Shells*, 2nd Edition, McGraw-Hill, New York, NY.

Williams ML (1951), Surface stress singularities resulting from various boundary conditions in angular corners of plates under bending, *Proc of 1st US Nat Congress of Applied Mechanics*, Illinois Inst of Tech, Chicago, IL, 325–329.

Southwell
RV (1950), On the analogues relating flexure and extension of flat plates, Q. J. Mech. Appl. Math. 3, 257–271.

Dixon
AC (1934), The problem of the rectangular plate, J. Lond. Math. Soc. 9, 61–74.

Carrier GF and Shaw FS (1949), Some problems in the bending of thin plates, *Proc of 3rd Symp in Applied Mathematics of the Am Mathematical Soc*, Vol 3, Univ of Michigan, Ann Arbor, MI, 125–128.

Morley
LSD (1964), Bending of clamped rectilinear plates, Q. J. Mech. Appl. Math. 17, 293–317.

Hrudey
TM, and Hrabok
MM (1986), Singularity finite elements for plate bending, J. Eng. Mech. 112, 666–681.

Leissa
AW, McGee
OG, and Huang
CS (1993), Vibrations of sectorial plates having corner stress singularities, ASME J. Appl. Mech. 60, 134–140.

Gregory
RD, Chonghua
G, and Wan
FYM (1996), The cantilever strip under torsion, bending or flexure at infinity, J. Elast. 43, 109–136.

Williams
ML (1961), The bending stress distribution at the base of a stationary crack, ASME J. Appl. Mech. 28, 78–82.

Williams
ML (1957), On the stress distribution at the base of a stationary crack, ASME J. Appl. Mech. 24, 109–114.

Irwin
GR (1957), Analysis of stresses and strains near the end of a crack traversing a plate, ASME J. Appl. Mech. 24, 361–364.

Sinclair
GB (2000), Logarithmic stress singularities resulting from various boundary conditions in angular corners of plates under bending, ASME J. Appl. Mech. 67, 219–223.

Nádai A (1925), *The Elastic Plate* (German), Julius Springer Publ, Berlin, Germany.

Sih
GC, and Rice
JR (1964), The bending of plates of dissimilar materials with cracks, ASME J. Appl. Mech. 31, 477–482.

Huang
CS (2002), Corner singularities in bi-material Mindlin plates, Compos. Struct. 56, 315–327.

Reissner
E (1945), The effect of transverse shear deformation on the bending of elastic plates, ASME J. Appl. Mech. 12, A-69–A-77.

Hencky
H (1947), On the treatment of shear rotations in flat plates (German), Oesterr. Ing.-Arch. 16, 72–76.

Burton
WS, and Sinclair
GB (1986), On the singularities in Reissner’s theory for the bending of elastic plates, ASME J. Appl. Mech. 53, 220–222.

Yen
DHY, and Zhou
M (1989), On the corner singularities in Reissner’s theory for the bending of elastic plates, ASME J. Appl. Mech. 56, 726–729.

Huang
CS, McGee
OG, and Leissa
AW (1994), Exact analytical solutions for free vibrations of thick sectional plates with simply supported radial edges, Int. J. Solids Struct. 31, 1609–1631.

Knowles
JK, and Wang
N-M (1960), On the bending of an elastic plate containing a crack, Z. Agnew Math. Phys. 39, 223–236.

Hartranft
RJ, and Sih
GC (1968), Effect of plate thickness on the bending stress distribution around through cracks, Z Agnew Math. Phys. 47, 276–291.

Wang
N-M (1968), Effects of plate thickness on the bending of an elastic plate containing a crack, Z Agnew Math. Phys. 47, 371–390.

Hartranft RJ (1966), On some problems involving singularities in Reissner’s theory of plate bending, Doctoral dissertation, Lehigh Univ, Bethlehem, PA.

Abramowitz M, and Stegun IA (1965), *Handbook of Mathematical Functions*, Dover Publ, New York, NY.

Bažant
ZP, and Keer
LM (1974), Singularities of elastic stresses and of harmonic functions at conical notches or inclusions, Int. J. Solids Struct. 10, 957–964.

Thomson
TR, and Little
RW (1970), End effects in a truncated semi-infinite cone, Q. J. Mech. Appl. Math. 23, 185–195.

Beagles
AE, and Sändig
A-M (1991), Singularities of rotationally symmetric solutions of boundary value problems for the Lamé equations, Z. Angew. Math. Mech. 71, 423–431.

Love
AEH (1939), Boussinesq’s problem for a rigid cone, Q. J. Math. 10, 161–175.

Hanson
MT (1993), The elastic field for a sliding conical punch on an isotropic half-space, ASME J. Appl. Mech. 60, 557–559.

Keer
LM, and Parihar
KS (1978), Elastic stress singularity at conical inclusions, Int. J. Solids Struct. 14, 261–263.

Reissner
E, and Sagoci
HF (1944), Forced torsional oscillations of an elastic half-space: I, J. Appl. Phys. 15, 652–654.

Tsuji
T, Noda
N, Shibuya
T, and Koizumi
T (1990), Stress singularity at the bottom of a V-notch in the inner surface of a circular pipe under torsion, Int. J. Pressure Vessels Piping 42, 135–155.

Freeman
NJ, and Keer
LM (1967), Torsion of a cylindrical rod welded to an elastic half space, ASME J. Appl. Mech. 34, 687–692.

Westmann
RA (1968), Discussion of “Torsion of a cylindrical rod welded to an elastic half space,” ASME J. Appl. Mech. 35, 197–198.

Keer
LM, and Freeman
NJ (1969), Torsion of a finite elastic cylindrical rod partially bonded to an elastic half space, Q. Appl. Math. 26, 567–573.

Barton
MV (1941), The circular cylinder with a band of uniform pressure on a finite length of the surface, ASME J. Appl. Mech. 8, A-97–A-104.

Zate
AR (1964), Stresses in the vicinity of boundary discontinuities in bodies of revolution, ASME J. Appl. Mech. 31, 150–152.

Sneddon
IN (1946), The distribution of stress in the neighborhood of a crack in an elastic solid, Proc. R. Soc. London, Ser. A A187, 229–260.

Harding
JW, and Sneddon
IN (1945), The elastic stresses produced by the indentation of the plane surface of a semi-infinite elastic solid by a rigid punch, Proc. Cambridge Philos. Soc. 41, 16–26.

Benthem
JP, and Minderhoud
P (1972), The problem of the solid cylinder compressed between rough rigid stamps, Int. J. Solids Struct. 8, 1027–1042.

Agarwal
VK (1978), Axisymmetric solution of the end-problem for semi-infinite elastic circular cylinder and its application to joined dissimilar cylinders under uniform tension, Int. J. Eng. Sci. 16, 985–998.

Hartranft
RJ, and Sih
GC (1977), Stress singularity for a crack with an arbitrarily curved front, Eng. Fract. Mech. 9, 705–718.

Sadowsky
MA, and Sternberg
E (1949), Stress concentration around a triaxial ellipsoidal cavity, ASME J. Appl. Mech. 16, 149–157.

Green
AE, and Sneddon
IN (1950), The distribution of stress in the neighborhood of a flat elliptical crack in an elastic solid, Proc. Cambridge Philos. Soc. 46, 159–164.

Kassir
MK, and Sih
GC (1966), Three-dimensional stress distribution around an elliptical crack under arbitrary loadings, ASME J. Appl. Mech. 33, 601–611.

Galin
LA (1948), Determination of displacements in three-dimensional contact problems of the theory of elasticity (Russian), Prikl. Mat. Mekh. 12, 241–250.

Mindlin
RD (1949), Compliance of elastic bodies in contact, ASME J. Appl. Mech. 16, 259–268.

Hughes WF, and Gaylord EW (1964), *Basic Equations of Engineering Science*, Schaum Publ Co, New York, NY.

Love
AEH (1929), The stress produced in a semi-infinite solid by pressure on part of the boundary, Philos. Trans. R. Soc. London, Ser. A A228, 397–420.

Turteltaub
MJ, and Wheeler
LT (1976), Line integral representations for the traction problem of the elastic halfspace and their application to a study of the singular effects of load jumps, J. Elast. 6, 161–178.

Michell
JH (1902), The inversion of plane stress, Proc. London Math. Soc. 34, 134–142.

Green AE, and Zerna W (1968), *Theoretical Elasticity*, 2nd Edition, Oxford at Clarendon Press, UK.

Smith
FW, and Alavi
MJ (1971), Stress intensity factors for a penny shaped crack in a half space, Eng. Fract. Mech. 3, 241–254.

Shah
RC, and Kobayashi
AS (1973), Stress intensity factors for an elliptical crack approaching the surface of a semi-infinite solid, Int. J. Fract. 9, 133–146.

Liao
CY, and Atluri
SN (1989), Stress intensity factor variation along a semicircular surface flaw in a finite-thickness plate, Eng. Fract. Mech. 34, 957–976.

Galin LA (1947), Pressure of a stamp with a flat base in the form of an infinite wedge on an elastic half-space (Russian), Dokl. Akad. Nauk SSSR 58(2).

Rvachev
VL (1959), The pressure on an elastic half-space of a stamp with a wedge-shaped planform, J. Appl. Math. Mech. 23, 229–233.

Noble B (1959), The potential and charge distribution near the tip of a flat angular sector, Report NYU EM-135, New York Univ, New York, NY.

Aleksandrov
VM, and Babeshko
VA (1972), On the pressure on an elastic half-space of a wedge-shaped stamp, J. Appl. Math. Mech. 36, 78–83.

Bažant
ZP (1974), Three-dimensional harmonic functions near termination or intersection of gradient intersection lines: A general numerical method, Int. J. Eng. Sci. 12, 221–243.

Walden H (1974), Solution of an eigenvalue problem for the Laplace operator on a spherical surface, Report X-582-74-41, Goddard Space Flight Center, Greenbelt, MD.

Morrison
JA, and Lewis
JA (1976), Charge singularity at the corner of a flat plate, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 31, 233–250.

Brothers PW (1976), The rigid rectangular punch on the elastic half-space, Masters thesis, Univ of Auckland, Auckland, New Zealand.

Keer
LM, and Parihar
KS (1978), A note on the singularity at the corner of a wedge-shaped punch or crack, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 34, 297–302.

Ioakimidis
NI (1985), Determination of the order of singularity at the apex of a wedge-shaped crack, Eng. Fract. Mech. 22, 369–373.

Takakuda
K (1985), Stress singularities near crack front edges, Bull. Japan Soc. Mech. Engineers 28, 225–231.

Xu
L, and Kundu
T (1995), Stress singularities at crack corners, J. Elast. 39, 1–16.

Glushkov
E, Glushkova
N, and Lapina
O (1999), 3D elastic stress singularity at polyhedral corner points, Int. J. Solids Struct. 36, 1105–1128.

Parihar
KS, and Keer
LM (1978), Stress singularity at the corner of a wedge-shaped crack or inclusion, ASME J. Appl. Mech. 45, 791–796.

Parihar
KS, and Keer
LM (1979), The singularity at the apex of a bonded wedge-shaped stamp, ASME J. Appl. Mech. 46, 577–580.

Abramov
BM (1937), The problem of contact of an elastic infinite half-plane with an absolutely rigid rough foundation, C. R. (Dokl.) Acad. Sci. URSS 17, 173–178.

Abdel-Messieh
YS, and Thatcher
RW (1990), Estimating the form of some three-dimensional singularities, Commun. Appl. Numer. Methods 6, 333–341.

Schmitz
H, Volk
K, and Wendland
W (1993), Three-dimensional singularities of elastic fields near vertices, Numer. Methods Partial Differ. Equ. 9, 323–337.

Panasyuk
VV, Andrejkiv
AE, and Stadnik
MM (1980), Basic mechanical concepts and mathematical techniques in application to three-dimensional crack problems: A review, Eng. Fract. Mech. 13, 925–937.

Panasyuk
VV, Andrejkiv
AE, and Stadnik
MM (1981), Three-dimensional static crack problems solution (A review), Eng. Fract. Mech. 14, 245–260.

Sih
GC (1971), A review of the three-dimensional stress problem for a cracked plate, Int. J. Fract. Mech. 7, 39–61.

Folias
ES (1975), On the three-dimensional theory of cracked plates, ASME J. Appl. Mech. 42, 663–674.

Kawai T, Fujitani Y, and Kumagai K (1977), Analysis of singularity at the root of the surface crack problem, *Proc of Int Conf on Fracture Mechanics and Technology*, Hong Kong, 1157–1163.

Benthem
JP (1977), State of stress at the vertex of a quarter-infinite crack in a half-space, Int. J. Solids Struct. 13, 479–492.

Bažant ZP and Estenssoro LF (1977), General numerical method for three-dimensional singularities in cracked or notched elastic solids, *Proc of 4th Int Conf on Fracture*, Vol 3, Waterloo, Ontario, 371–383.

Bažant ZP, and Estenssoro LF (1977), Stress singularity and propagation of cracks at their intersection with surfaces, Structural Engineering Report 77-12/480, Dept of Civil Eng, Northwestern Univ, Evanston, IL.

Bažant
ZP, and Estenssoro
LF (1979), Surface singularity and crack propagation, Int. J. Solids Struct. 15, 405–426(See also:
Addendum (1980), 16, 479–481, and Erratum (1983), 19, 661).

Sinclair GB (1979), Asymptotic singular eigenfunctions for the three-dimensional crack, *Proc of 7th Canadian Congress of Applied Mechanics*, Sherbrooke, Quebec, 295–296.

Benthem
JP (1980), The quarter-infinite crack in a half-space: Alternative and additional solutions, Int. J. Solids Struct. 16, 119–130.

Yamada Y, and Okumura H (1981), Analysis of local stress in composite materials by the 3D finite element, *Proc of Japan-US Conf on Composite Materials*, Tokyo, Japan, 55–84.

Burton
WS, Sinclair
GB, Solecki
JS, and Swedlow
JL (1984), On the implications for LEFM of the three-dimensional aspects in some crack-surface intersection problems, Int. J. Fract. 25, 3–32.

Shaofu
W, Xing
Z, and Qingzhi
H (1988), Functional variable displacement method in analysis of singularity near the corner point in a three-dimensional cracked solid, Eng. Fract. Mech. 31, 191–200.

Shivakumar
KN, and Raju
IS (1990), Treatment of singularities in cracked bodies, Int. J. Fract. 45, 159–178.

Zhu
WX (1990), Singular stress field of three-dimensional crack, Eng. Fract. Mech. 36, 239–244.

Barsoum
RS, and Chen
T-K (1991), Three-dimensional surface singularity of an interface crack, Int. J. Fract. 50, 221–237.

Ghahremani
F (1991), A numerical variational method for extracting 3D singularities, Int. J. Solids Struct. 27, 1371–1386.

Leung
AYT, and Su
RKL (1996), Order of the singular stress field of through-thickness cracks, Int. J. Fract. 75, 85–93.

Leung
AYT, and Su
RKL (1996), Analytical solution for mode I crack orthogonal to free surface, Int. J. Fract. 76, 79–85.

Su
XM, and Sun
CT (1996), On singular stress of the crack tip of a thick plate under in-plane loading, Int. J. Fract. 82, 237–252.

Lur’e AI (1964), *Three-Dimensional Problems of the Theory of Elasticity*, Interscience Publ, John Wiley and Sons, New York, NY.

Benthem
JP, and Koiter
WT (1976), Discussion of “On the three-dimensional theory of cracked plates,” ASME J. Appl. Mech. 43, 374.

Folias
ES (1976), Authors closure to discussion of “On the three-dimensional theory of cracked plates,” ASME J. Appl. Mech. 43, 374–375.

Folias
ES (1980), Method of solution of a class of three-dimensional elastostatic problems under mode I loading, Int. J. Fract. 16, 335–348.

Meda
G, Messner
TW, Sinclair
GB, and Solecki
JS (1998), Path-independent H integrals for three-dimensional fracture mechanics, Int. J. Fract. 94, 217–234.

Ghahremani
F, and Shih
CF (1992), Corner singularities of three-dimensional planar interface cracks, ASME J. Appl. Mech. 59, 61–68.

Sagochi
HF (1944), Forced torsional oscillations of an elastic half-space: II, J. Appl. Phys. 15, 655–662.

Leissa
AW (2001), Singularity considerations in membrane, plate and shell behaviors, Int. J. Solids Struct. 38, 3341–3353.

Achenbach
JD, and Bažant
ZP (1975), Elastodynamic near-tip stress and displacement fields for rapidly propagating cracks in orthotropic materials, ASME J. Appl. Mech. 42, 183–189.

Nowacki W (1968), *Thermoelasticity*, 2nd Edition, Pergamon Press, Oxford, UK.

Yan
G, and Ting
TCT (1993), The r^{−1/2}(ln r) singularities at interface cracks in monoclinic and isotropic bimaterials due to heat flow, ASME J. Appl. Mech. 60, 432–437.

Yang
YY, and Munz
D (1995), Stress intensity factor and stress distribution in a joint with an interface corner under thermal and mechanical loading, Comput. Struct. 57, 467–476.

Lee
EH (1955), Stress analysis in visco-elastic bodies, Q. Appl. Math. 13, 183–190.

Williams ML (1962), The fracture of viscoelastic materials, *Fracture of Solids, Proc of an Int Conf*, Maple Valley, WA, 157–188.

Ting TCT (1986), *Anisotropic Elasticity*, Oxford Univ Press, New York, NY.

Ting TCT (1998), The remarkable nature of cylindrically uniform anisotropic elastic materials, *Proc of 13th US Natl Congress of Applied Mechanics*, TA7.

Muki
R, and Sternberg
E (1965), The influence of couple-stresses on singular stress concentrations in elastic solids, Z. Angew. Math. Phys. 16, 611–648.

Sternberg
E, and Muki
R (1967), The effect of couple-stresses on the stress concentration around a crack, Int. J. Solids Struct. 3, 69–95.