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Application of the hp-FEM for Hyperelastic Problems with Isotropic Damage

  • Jorge L. Suzuki
  • Marco L. BittencourtEmail author
Chapter
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 49)

Abstract

This work presents a damage formulation applied to hyperelastic materials in order to capture the Mullins effect, observed in rubber-like materials and biological tissues. A mixed (u/p) formulation with a pressure projection procedure is used with the hp-FEM to overcome the volumetric locking. The isotropic damage model uses a scalar variable that evolves coupled with the maximum attained equivalent strain. This damage variable defines a stress reduction factor, which describes the softening behavior. Cyclic loading tests were performed to reproduce the Mullins effect. Convergence analyses were made for compressible and nearly-incompressible materials imposing smooth solutions. The results presented a spectral convergence rate for the p-refinement. In the case of near-incompressibility, the material showed locking-free characteristics.

Keywords

Volumetric Strain Damage Evolution Maximum Principal Stress Strain Energy Function Hyperelastic Material 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.University of Campinas, Cidade Universitária Zeferino VazCampinasBrazil

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