The Boundary Integral Approach to Static and Dynamic Contact Problems: Equality and Inequality Methods

Description

International Series of Numerical Mathematics, Vol 108.

The aim of the present book is the formulation and study of boundary integral equation methods for static and dynamic contact problems. Both the cases of equality and inequality contact constraints are examined. Those of the first kind lead to classical bilateral problems expressed as variational equalities, whereas the others lead to unilateral problems expressed as variational inequalities in the case of monotone constraints, or as hemivariational inequalities in the case of nonmonotone constraints. The variational equalities give rise to classical boundary integral equations, whereas the variational inequalities and the hemivariational inequalities lead to multivalued boundary integral equations. In parallel to the formulation and the mathematical study, numerical examples help illustrate the presented theories.

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