An adaptive strategy for elastic-plastic analysis of structures with cracks

Abstract

(Lee and Bathe, 1994) and the second is based on a ratio of plastic work (Peric et al., 1994). In the non-linear adaptive process for incremental plasticity analysis, a technique for interpolating analysis variables across distinct meshes (Lee and Bathe, 1994) is adopted. The von Mises yield criterion, with isotropic hardening, is adopted. Fracture problems are used to evaluate the performance of the adaptive process.

Finite element meshes for optimal modelling of plasticity induced crack closure

“…Therefore, although desirable, a convergence of maximum plastic strain with mesh refinement does not seem to be possible. Araújo et al [56] also had convergence difficulties in cracked structures, when using adaptive strategies. Anyway, an eventual convergence within nanometre sizes would not solve the problem, since the corresponding meshes would require unacceptable numerical efforts, at least for present computer capabilities.…”