A positional isogeometric formulation for two-dimensional analysis of elastoplastic solids

Autores

  • Rosicley J. R. Rosa
  • Rodolfo A. K. Sanches

Palavras-chave:

positional isogeometric analysis, elasto-plastic, large displacement, NURBS

Resumo

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.

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Publicado

2024-06-23

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