A simple, stable, and accurate linear tetrahedral finite element for transient, nearly, and fully incompressible solid dynamics: A dynamic variational multiscale approach


Journal Article

© 2016 John Wiley & Sons, Ltd. We propose a new approach for the stabilization of linear tetrahedral finite elements in the case of nearly incompressible transient solid dynamics computations. Our method is based on a mixed formulation, in which the momentum equation is complemented by a rate equation for the evolution of the pressure field, approximated with piecewise linear, continuous finite element functions. The pressure equation is stabilized to prevent spurious pressure oscillations in computations. Incidentally, it is also shown that many stabilized methods previously developed for the static case do not generalize easily to transient dynamics. Extensive tests in the context of linear and nonlinear elasticity are used to corroborate the claim that the proposed method is robust, stable, and accurate.

Full Text

Duke Authors

Cited Authors

  • Scovazzi, G; Carnes, B; Zeng, X; Rossi, S

Published Date

  • June 8, 2016

Published In

Volume / Issue

  • 106 / 10

Start / End Page

  • 799 - 839

Electronic International Standard Serial Number (EISSN)

  • 1097-0207

International Standard Serial Number (ISSN)

  • 0029-5981

Digital Object Identifier (DOI)

  • 10.1002/nme.5138

Citation Source

  • Scopus