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Abstract

In this chapter, we consider Signorini’sproblem, a fundamental model situation for contact problems in elasticity, which is the basis for applications in the field of highspeed machining presented below. The corresponding classical notation reads (cf. Kikuchi and Oden [43])
$$ \begin{array}{*{20}c} { - div \sigma = f, A\sigma = \varepsilon (u) in \Omega ,} \\ {u = 0 on \Gamma _D , \sigma \cdot n = t on \Gamma _N ,} \\ {\left. {\begin{array}{*{20}c} {{}^\sigma T = 0, (u_n - g)\sigma _n = 0} \\ {u_n - g \leqslant 0, \sigma _n \leqslant 0} \\ \end{array} } \right\}on\Gamma _C .} \\ \end{array} $$
(6.1)
.

Keywords

Variational Inequality Dual Problem Posteriori Error Dual Solution Posteriori Error Estimate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Vieweg+Teubner | GWV Fachverlage GmbH, Wiesbaden 2008

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