Finite strain primal interface formulation with consistently evolving stabilization

Timothy J. Truster, Pinlei Chen, Arif Masud

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

A stabilized discontinuous Galerkin method is developed for general hyperelastic materials at finite strains. Starting from a mixed method incorporating Lagrange multipliers along the interface, the displacement formulation is systematically derived through a variational multiscale approach whereby the numerical fine scales are modeled via edge bubble functions. Analytical expressions that are free from user-defined param-eters arise for the weighted numerical flux and stability tensor. In particular, the specific form taken by these derived quantities naturally accounts for evolving geometric nonlinearity as well as discontinuous material properties. The method is applicable both to problems containing nonconforming meshes or different element types at specific interfaces and to problems consisting of fully discontinuous numerical approxi-mations. Representative numerical tests involving large strains and rotations are performed to confirm the robustness of the method.

Original languageEnglish (US)
Pages (from-to)278-315
Number of pages38
JournalInternational Journal for Numerical Methods in Engineering
Volume102
Issue number3-4
DOIs
StatePublished - Apr 2015

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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