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Kaplevatsky, I. D.; Shestopal, V. O.

Bending and buckling of multilayer thin plates. (English) Zbl 0494.73041

Acta Mech. 43, 169-176 (1982).
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MSC:

74G60 Bifurcation and buckling
74K20 Plates
74E05 Inhomogeneity in solid mechanics
74E30 Composite and mixture properties
74E10 Anisotropy in solid mechanics

Keywords:

multilayer plate; peridical structure; material inside each layer is isotropic; shear strains; bending boundary problem; symmetrically loaded circular plate; rectangular plate; loaded in its middle plane along one axis; solution for buckling may differ qualitatively from solutions based on plane sections’ hypothesis
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References:

[1] Gussein-Zade, M. I.: On the derivation of a theory of bending of layered plates. PMMJ Appl. Math. and Mech.32, 222-233 (1968). · doi:10.1016/0021-8928(68)90123-8
[2] Timoshenko, S. P., Gere, J. M.: Theory of elastic stability. McGraw-Hill 1961.
[3] Lekhnitskii, S. G.: Anisotropic plates. Gordon and Breach 1968.
[4] Chen, P. E., in: Composite materials workshop, pp. 217-232. Stanford: Technomic Publ. 1968.
[5] Chan, H. C., Foo, O.: Buckling of multilayer sandwich plates by the finite strip method. Int. J. Mech. Sci.19, 447-456 (1977). · Zbl 0363.73054 · doi:10.1016/0020-7403(77)90018-2
[6] Nikishin, V. S., Shapiro, G. S.: Problems of the theory of elasticity for multilayer media. Moscow: Nauka 1973 (in Russian).
[7] Spilker, R. L.: Alternate hybrid-stress elements for analysis of multilayer composite plates. J. Composite Materials11, 51-70 (1977). · doi:10.1177/002199837701100107
[8] Kaplevatsky, I. D., Raevsky, V. G.: Stress-strain state of multilayer composite laminates. J. Composite Materials11, 445-460 (1977). · doi:10.1177/002199837701100407
[9] Allen, H. G.: Analysis and design of structural sandwich panels, Chapt. 7. Pergamon Press 1969.
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