Finite Element Analysis of Structural Instability Using an Implicit/Explicit Switching Technique

Abstract

In this paper, we present a study of finite element analysis (FEA) of structural instability by using a switching implicit-explicit algorithm embedded into the finite element method. Snap-through or snap-back buckling problems often cause divergence of the finite element method if arc-length methods are not used. The origin of divergence is often associated with critical points. An alternative to the latter is considered herein, the implicit–explicit FEA. The numerical results showed the effectiveness of this switching technique for solving divergence when simulating structural instabilities such as buckling of an elastic–plastic arch.

Keywords:

• Finite element method
• Structures
• Implicit explicit
• Instability

Notes

Integration algorithms, like for example the return mapping algorithm.

In general, path-dependent materials.