Search results for "self-equilibrium stre"

showing 3 items of 3 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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Lower bound limit analysis by bem: Convex optimization problem and incremental approach

2013

Abstract The lower bound limit approach of the classical plasticity theory is rephrased using the Multidomain Symmetric Galerkin Boundary Element Method, under conditions of plane and initial strains, ideal plasticity and associated flow rule. The new formulation couples a multidomain procedure with nonlinear programming techniques and defines the self-equilibrium stress field by an equation involving all the substructures (bem-elements) of the discretized system. The analysis is performed in a canonical form as a convex optimization problem with quadratic constraints, in terms of discrete variables, and implemented using the Karnak.sGbem code coupled with the optimization toolbox by MatLab…

convex optimizationelastoplasticityApplied MathematicsMathematical analysisGeneral EngineeringSGBEMUpper and lower boundsself-equilibrium streNonlinear programmingComputational MathematicsQuadratic equationLimit analysisConvex optimizationCanonical formSettore ICAR/08 - Scienza Delle CostruzioniGalerkin methodBoundary element methodAnalysislower bound limit analysiMathematicsEngineering Analysis with Boundary Elements
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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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