Search results for " Return mapping algorithm."

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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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Computational aspects in 2D SBEM analysis with domain inelastic actions

2009

The Symmetric Boundary Element Method, applied to structures subjected to temperature and inelastic actions, shows singular domain integrals. In the present paper the strong singularity involved in the domain integrals of the stresses and tractions is removed, and by means of a limiting operation, this traction is evaluated on the boundary. First the weakly singular domain integral in the Somigliana Identity (S.I.) of the displacements is regularized and the singular integral is transformed into a boundary one using the Radial Integration Method; subsequently, using the differential operator applied to the displacement field, the S.I. of the tractions inside the body is obtained and through…

Numerical AnalysisApplied MathematicsMathematical analysisGeneral EngineeringSingular integralSingular boundary methodelastoplasticity symmetric BEM multidomain approach singular domain integral return mapping algorithmSingularityDisplacement fieldCauchy principal valueGalerkin methodSettore ICAR/08 - Scienza Delle CostruzioniBoundary element methodCauchy's integral formulaMathematics
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