High-order FEMs for thermo-hyperelasticity at finite strains

Zohar Yosibash, Danny Weiss, Stefan Hartmann

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

Thermo-hyperelastic problems at finite strains belong to a category of non-linear coupled problems that impose challenges on their numerical treatment. We present the weak-form for a 1-D coupled, stationary, thermo-hyperelastic system with constant or temperature-dependent material properties. The coupled system is discretized by a 'monolithic' high-order finite element method (p-FEM) based on hierarchical shape-functions. To verify the accuracy and to investigate the convergence rates of the p-FEM for the non-linear coupled problem, exact solutions are derived that are compared to the numerical results. These demonstrate the accuracy and efficiency of the applied p-FEMs.

Original languageEnglish
Pages (from-to)477-496
Number of pages20
JournalComputers and Mathematics with Applications
Volume67
Issue number3
DOIs
StatePublished - 1 Feb 2014

Keywords

  • Coupled FEM
  • Monolithic scheme
  • Thermo-hyperelasticity
  • p-FEM

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

Fingerprint

Dive into the research topics of 'High-order FEMs for thermo-hyperelasticity at finite strains'. Together they form a unique fingerprint.

Cite this