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.…”

Numerical study of a centred crack on an elastoplastic material by the FEM method

“…Khatri and Lal [5] presented the stochastic fracture analysis of an isotropic plate with a hole and emanating crack under biaxial loadings by the XFEM method. In addition, de Araújo et al [6] presented an adaptive methodology for the finite element analysis of an elastoplastic material with a two-dimensional cracked structure. Alshoaibi and Fageehi [7] proposed a study based on the formulation of the finite element method, to analyse the problems of fatigue crack propagation, according to the linear elastic fracture mechanics (LEFM) theory.…”