Bifurcation Analysis of Elastic Layered Structures Subject to Finite Bending in Varga Model


Ali Hatami


Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.

Corresponding Author Email: ahatami@math.usb.ac.ir

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

This study analyses the finite deformation and the bifurcation behavior plane strain bending of a bilayer with layers made of hyper elastic and incompressible of varga model. The bending solution is employed to investigate possible incremental bifurcations. The analysis reveals that a bilayered structure can behave in completely different way from the corresponding homogeneous plate. For a thick plate of varga material, for instance, the presence of a stiff coating strongly affects the bifurcation critical angle.