Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 197, Issue 6-8, Pages 756-772Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2007.09.004
Keywords
mortar methods; self contact; contact searching; bounding volume hierarchy; finite elements
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This paper presents a new numerical method, in which self contact phenomena associated with a body undergoing large deformations and sliding can be described. In particular, the approach relies on a particular extension of the mortar approach appropriate for this class of problems. A bounding volume hierarchy (organized as a binary tree) is built for the self contact surface, based on the geometry and the mesh connectivity of the surface. A curvature criterion, using a new algorithm to detect subsurface adjacency, is used to accelerate the self contact searching procedure. To ensure that the mortar traction fields are properly defined on contiguous surface patches, a novel facet sorting algorithm is also proposed, based on the mesh connectivity of the contact element pairs found by the self contact searching algorithm. Several two- and three-dimensional numerical examples show the new self contact mortar formulation to be very efficient, and also demonstrate that it can be combined with multi-body contact algorithms to simulate a very general class of contact problems. (c) 2007 Elsevier B.V. All rights reserved.
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