Survey of Modified Classical Bifurcations Due to Deformation-Sensitive Loading with Nonlinear, Nonsmooth and Nonconvex Effects

Some loading devices show certain deformation-sensitive but conservative characteristics leading to changes of the classical postbifurcation behavior of structures. To compare the effect of dead and configuration-dependent loading devices, classical bifurcation models are considered. Fully nonlinear behavior is considered, in sense of material, geometry and loading. Originally or approximately nonsmooth functions are included with nonconvexity in the material or loading behaviour. Global equilibrium paths are modified by deformation-sensitive loading devices, nonsmoothness and nonconvexity.

Keywords:

• Deformation-sensitive Loading
• Bifurcation
• Nonlinear
• Nonsmooth
• Nonconvex
• Ams Subject Classifications: 26a27
• 74a99
• 74f99