Search results for " Self-equilibrium stress"

showing 2 items of 2 documents

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

2014

In this paper a strategy to perform elastoplastic analysis with linear kinematic hardening for von Mises materials under plane strain conditions is shown. The proposed approach works with the Symmetric Galerkin Boundary Element Method applied to multidomain problems using a mixed variables approach, to obtain a more stringent solution. The elastoplastic analysis is carried out as the response to the loads and the plastic strains, the latter evaluated through the self-equilibrium stress matrix. This matrix is used both, in the predictor phase, for trial stress evaluation and, in the corrector phase, for solving a nonlinear global system which provides the elastoplastic solution of the active…

Mathematical optimizationApplied MathematicsComputational MathematicsNonlinear systemsymbols.namesakeMatrix (mathematics)Consistency (statistics)Multidomain SGBEM Self-equilibrium stressActive macro-zones Hardening von Mises materials Return mapping algorithm.Jacobian matrix and determinantsymbolsApplied mathematicsvon Mises yield criterionMultidomain SGBEM Self-equilibrium stress Active macro-zonesHardening von Mises materials Return mapping algorithmGalerkin methodSettore ICAR/08 - Scienza Delle CostruzioniBoundary element methodPlane stressMathematics
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Incremental elastoplastic analysis for active macro-zones

2012

In this paper a strategy to perform incremental elastoplastic analysis using the symmetric Galerkin boundary element method for multidomain type problems is shown. The discretization of the body is performed through substructures, distinguishing the bem-elements characterizing the so-called active macro-zones, where the plastic consistency condition may be violated, and the macro-elements having elastic behaviour only. Incremental analysis uses the well-known concept of self-equilibrium stress field here shown in a discrete form through the introduction of the influence matrix (self-stress matrix). The nonlinear analysis does not use updating of the elastic response inside each plastic loop…

multidomain SGBEM self-equilibrium stress equation elastoplastic analysis active macro-zones
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