The symmetric boundary element method for unilateral contact problems

On the basis of the boundary integral equation method, in its symmetric formulation, the frictionless unilateral contact between two elastic bodies has been studied. A boundary discretization by boundary elements leads to an algebraic formulation in the form of a linear complementarity problem. In t...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 2008-06, Vol.197 (33), p.2667-2679
Main Authors: Panzeca, T., Salerno, M., Terravecchia, S., Zito, L.
Format: Article
Language:English
Subjects:
Computational techniques
Exact sciences and technology
Frictionless contact
Fundamental areas of phenomenology (including applications)
Iterative technique
Macro-elements
Mathematical methods in physics
Mechanical contact (friction...)
Physics
Solid mechanics
Step by step analysis
Structural and continuum mechanics
Symmetric BEM
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Summary:On the basis of the boundary integral equation method, in its symmetric formulation, the frictionless unilateral contact between two elastic bodies has been studied. A boundary discretization by boundary elements leads to an algebraic formulation in the form of a linear complementarity problem. In this paper the process of contact or detachment is obtained through a step by step analysis by using generalized (weighted) quantities as the check elements: the detachment or the contact phenomenon may happen when the weighted traction or the weighted displacement is greater than the weighted cohesion or weighted minimum reference gap, respectively. The applications are performed by using the Karnak.sGbem program made by some of the authors of this paper.
ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2007.03.026