期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
卷 106, 期 10, 页码 799-839出版社
WILEY
DOI: 10.1002/nme.5138
关键词
tetrahedral finite element; piecewise linear interpolation; stabilized method; transient dynamics; nearly incompressible elasticity
资金
- Computer Science Research Institute at Sandia National Laboratories
- US Office of Naval Research [N00014-14-1-0311]
- US Department of Energy, Office of Science, Advanced Scientific Computing Research [SC0012169]
- US Department of Energy's National Nuclear Security Administration [DE-AC04-94AL85000]
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. Copyright (C) 2015 John Wiley & Sons, Ltd.
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