A virtual element method for contact

A virtual element method for contact

The problem of contact between two elastic bodies is addressed computationally using the virtual element method (VEM). The use of the VEM allows the use of non-matching meshes for the two bodies, and hence obviates the need for node-to-node contact on the candidate contact interfaces. The contact co...

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Bibliographic Details
Published in:Computational mechanics Vol. 58; no. 6; pp. 1039 - 1050
Main Authors: Wriggers, P., Rust, W. T., Reddy, B. D.
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-12-2016
Springer
Springer Nature B.V
Subjects:
Classical and Continuum Physics
Computational Science and Engineering
Elastic bodies
Engineering
Lagrange multiplier
Nonlinear programming
Original Paper
Robustness (mathematics)
Theoretical and Applied Mechanics
Non-conforming mesh
Contact discretization
Virtual element method (VEM)
Node-to-node contact
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Summary:The problem of contact between two elastic bodies is addressed computationally using the virtual element method (VEM). The use of the VEM allows the use of non-matching meshes for the two bodies, and hence obviates the need for node-to-node contact on the candidate contact interfaces. The contact constraint is imposed using either a Lagrange multiplier or penalty formulation. A number of numerical examples illustrate the robustness and accuracy of the algorithm.
ISSN:0178-7675
1432-0924
DOI:10.1007/s00466-016-1331-x