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A posteriori error estimation for unilateral contact with matching and non-matching meshes

โœ Scribed by Patrice Coorevits; Patrick Hild; Jean-Pierre Pelle

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
921 KB
Volume
186
Category
Article
ISSN
0045-7825

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โœฆ Synopsis

In this paper, we consider the unilateral contact problem between elastic bodies. We propose an error estimator based on the concept of error in the constitutive relation in order to evaluate the ยฎnite element approximation involving matching and non-matching meshes on the contact zone. The determination of the a posteriori error estimate is linked to the building of kinematically-admissible stress ยฎelds and statically-admissible stress ยฎelds. We then propose a ยฎnite element method for approximating the unilateral contact problem taking into account matching and non-matching meshes on the contact zone; then, we describe the construction of admissible ยฎelds. Lastly, we present optimized computations by using both the error estimates and a convenient mesh adaptivity procedure.

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