This article is a U.S. Government work and is in the public domain in the U.S.A.
A 3D mortar method for solid mechanics†
Article first published online: 3 DEC 2003
This article is a U.S. government work and is in the public domain in the U.S.A. Published in 2003 by John Wiley & Sons, Ltd.
International Journal for Numerical Methods in Engineering
Volume 59, Issue 3, pages 315–336, 21 January 2004
How to Cite
Puso, M. A. (2004), A 3D mortar method for solid mechanics. Int. J. Numer. Meth. Engng., 59: 315–336. doi: 10.1002/nme.865
- Issue published online: 3 DEC 2003
- Article first published online: 3 DEC 2003
- Manuscript Accepted: 11 MAR 2003
- Manuscript Revised: 23 JAN 2003
- Manuscript Received: 5 JUN 2002
- U.S. Department of Energy by Lawrence Livermore National Laboratory. Grant Number: W-7405-Eng-48
- finite elements;
- mortar method;
- mesh tying;
- large deformation
A version of the mortar method is developed for tying arbitrary dissimilar 3D meshes with a focus on issues related to large deformation solid mechanics. Issues regarding momentum conservation, large deformations, computational efficiency and bending are considered. In particular, a mortar method formulation that is invariant to rigid body rotations is introduced. A scheme is presented for the numerical integration of the mortar surface projection integrals applicable to arbitrary 3D curved dissimilar interfaces. Here, integration need only be performed at problem initialization such that coefficients can be stored and used throughout a quasi-static time stepping process even for large deformation problems. A degree of freedom reduction scheme exploiting the dual space interpolation method such that direct linear solution techniques can be applied without Lagrange multipliers is proposed. This provided a significant reduction in factorization times. Example problems which touch on the aforementioned solid mechanics related issues are presented. Published in 2003 by John Wiley & Sons, Ltd.