Elastoplastic analysis by active macro-zones with linearudkinematic hardening and von Mises materials.

摘要

In this paper a strategy to perform elastoplastic analysis with linear kinematic hardeningudfor von Mises materials under plane strain conditions is shown. The proposed approachudworks with the Symmetric Galerkin Boundary Element Method applied to multidomainudproblems using a mixed variables approach, to obtain a more stringent solution. The elastoplasticudanalysis is carried out as the response to the loads and the plastic strains, the latterudevaluated through the self-equilibrium stress matrix. This matrix is used both, in the predictorudphase, for trial stress evaluation and, in the corrector phase, for solving a nonlinearudglobal system which provides the elastoplastic solution of the active macro-zones, i.e. thoseudzones collecting bem-elements where the plastic consistency condition has been violated.udThe simultaneous use of active macro-zones gives rise to a nonlocal approach which isudcharacterized by a large decrease in the plastic iteration number, although the proposedudstrategy requires the inversion and updating of Jacobian operators generally of big dimensions.udA strategy developed in order to reduce the computational efforts due to the use ofudthis matrix, in a recursive process, is shown.