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REVIEW ARTICLES

Developments, ideas, and evaluations based upon Reissner’s Mixed Variational Theorem in the modeling of multilayered plates and shells

[+] Author and Article Information
Erasmo Carrera

Department of Aeronautics and Aerospace Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy; carrera@polito.it

Appl. Mech. Rev 54(4), 301-329 (Jul 01, 2001) (29 pages) doi:10.1115/1.1385512 History:
Copyright © 2001 by ASME
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References

Figures

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Geometry and notations used for multilayered shells
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Typical through the thickness stress (in-plane and transverse components) fields in a three layer plate: Cz0-Requirements
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Details and notations of stresses at the interface
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Geometrical meaning of zig-zag function, Linear case
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Meanings of the used acronyms
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Examples of assumed fields in the thickness plate direction in a four layer plate
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Amplitude of in-plane displacement Uz×ET/PztNlh vs z/h. Comparison of present and other ESLM results to 3D-elasticity 32. Antisymmetric 4-layer case, a/h=4. Mechanical data of the lamina: EL=25×106 psi,ET=1×106 psi,GLT=0.5×106 psi,GTT=0.2×106 psi,νLTTT=.25
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Examples of multilayer structures: Plates (upper part) made of layers of different materials (left) and by unidirectional fibers (right) and sandwich shell (lower part)
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Transverse shear stress amplitude Sxz×1/PxiNl vs z/h; Comparison of present and other ESLM to Elasticity 32; Antisymmetric 4 layer case, a/h=4; Same data as in Fig 8
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Amplitude of in-plane displacements Uβ×100ETh2/PztNlRβ3 vs z; Ren’s cylindrical panel with Rβ/h=4; Five layer case
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Amplitude of transverse shear stress |Sαz×10h/Pzb1Rβ| vs z; Varadan and Bhaskar’s cylindrical shells with Rβ/h=4; Five layer case
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Amplitude of in-plane displacemnets Uβ×10ELh2/Pzb1Rβ3 vs z; Varadan and Bhaskar’s cylindrical shells with Rβ/h=4; Ten layer case
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Postbuckling of a compressed plate: Load parameter vs plate defection at the center; Comparisons among RMZC and classical theories. a=10,h=1; mesh 4×4. 0°/90°/0°/90°/0°, EL/ET=40,GLT/ET=.5,GTT/ET=.35,νLTTT=.3.
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Phase diagram corresponding to the steady-state-solution: u̇zvsuz; Comparison between linear and nonlinear analysis for RMZC, FSDT and CLT results. a=10,h=1, mesh 4×4; 45°/−45°/45°/−45°/45°; Mechanical data as Fig. 13; Pz(5,5)=1;ωe=0.2;w1=0.535,w2=0.534
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Shell panel with Rβ/h=4(h=2.5); Transverse shear stress σyz×h/PztNlRβ
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An example showing how Cz0-Requirements are imposed

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