A positional isogeometric formulation for two-dimensional analysis of elastoplastic solids
Palavras-chave:
positional isogeometric analysis, elasto-plastic, large displacement, NURBSResumo
In this work, we propose a numerical formulation based on Isogeometric Analysis (IGA) for solving
two-dimensional problems of elasto-plastic solids at large displacements and small/moderate strains. The Isogeo-
metric Analysis aims to connect CAD (Computer Aided Design) concepts with the structural analysis method. In
this work, we employ basis functions generated from NURBS (Non-Uniform Rational B-Splines) to construct the
initial and also the final domains. The current positions are taken as main variables, so that the problem is naturally
under the isoparametric idea and also naturally considers geometric nonlinearities. The von Mises criteria is em-
ployed to detect plasticity occurrence and an additive elastic-plastic strains decomposition is adopted to represent
the elastic-plastic constitutive models. Finally, two-dimensional numerical examples are simulated considering
plane strain, in order to verify the proposed methodology.
