Flexure and compression of incompressible elastic plates. (English) Zbl 1210.74111

Summary: We consider the bifurcation problem for three-dimensional isotropic, incompressible elastic plates subjected to a combined flexure and axial compression. The compressive loading being along the axis of the right circular cylinder formed by the flexure. Some limited analytical results and more comprehensive numerical results are presented for Neo-Hookean materials. Firstly, we give basic results for a plate subjected to pure flexure and then we show how a pure bending mode and a buckling mode due to axial compression can interact.


74K20 Plates
74G15 Numerical approximation of solutions of equilibrium problems in solid mechanics
74G60 Bifurcation and buckling
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