Generalized finite element method for modeling nearly incompressible bimaterial hyperelastic solids

K. R. Srinivasan, K. Matouš, P. H. Geubelle

Research output: Contribution to journalArticlepeer-review

Abstract

An extension of the generalized finite element method to the class of mixed finite element methods is presented to tackle heterogeneous systems with nearly incompressible non-linear hyperelastic material behavior. In particular, heterogeneous systems with large modulus mismatch across the material interface undergoing large strains are investigated using two formulations, one based on a continuous deformation map, the other on a discontinuous one. A bimaterial patch test is formulated to assess the ability of the two formulations to reproduce constant stress fields, while a mesh convergence study is used to examine the consistency of the formulations. Finally, compression of a model heterogeneous propellant pack is simulated to demonstrate the robustness of the proposed discontinuous deformation map formulation.

Original languageEnglish (US)
Pages (from-to)4882-4893
Number of pages12
JournalComputer Methods in Applied Mechanics and Engineering
Volume197
Issue number51-52
DOIs
StatePublished - Oct 15 2008

Keywords

  • Bimaterial solid
  • Generalized finite element method
  • Incompressible hyperelasticity
  • Lagrange multipliers
  • Mixed finite element method

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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