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Three-dimensional mortar contact formulation: an efficient and accurate numerical implementation

Ullah, Zahur, Kaczmarczyk, L. and Pearce, C. J. (2017) Three-dimensional mortar contact formulation: an efficient and accurate numerical implementation. In: 25th UKACM Conference on Computational Mechanics, University of Birmingham Birmingham, United Kingdom. University of Birmingham Birmingham, United Kingdom. 4 pp. [Conference contribution]

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URL: http://ukacm2017.ukacm.org/wp-content/uploads/2017/04/Proceedings-UKACM2017-compressed.pdf

Abstract

The mortar contact formulation is a well-established technique to tie non-conforming finite element meshes in domain decomposition and is also the basis of many well-known contact algorithms. Mortar contact formula- tion allows for a variationally consistent treatment of contact conditions including mesh tying, non-penetration, frictionless and frictional sliding leading to satisfaction of contact patch test. Efficient, accurate and robust nu- merical implementation of the interface coupling terms associated with the mortar contact formulation remains challenging, especially in three-dimensional case. The computational contact algorithm presented in this paper is carefully designed for accuracy, efficiency and robustness and making use of the cutting-edge third-party computa- tional tools including Mesh-Oriented datABase (MOAB), Portable, Extensible Toolkit for Scientific Computation (PETSc), Boost and clipper libraries. The computational framework is designed to take advantage of distributed memory high-performance computing and hierarchic basis functions. The numerical implementation is validated with two non-conforming mesh tying examples, which, on the one hand, remove some of the complexities as- sociated with actual unilateral contact formulation but, on the other hand, clarify many of the conceptual and implementational aspects of the contact mechanics.

Item Type:Conference contribution (Paper)
Keywords:finite element analysis; mortar contact formulation; mesh tying; numerical integration; hierarchical basis functions
Faculties and Schools:Faculty of Computing & Engineering
Faculty of Computing & Engineering > School of Engineering
ID Code:38585
Deposited By: Dr Zahur Ullah
Deposited On:19 Sep 2017 13:24
Last Modified:17 Oct 2017 16:31

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