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])
$$ \begin{array}{*{20}c} { - div \sigma = f, A\sigma = \varepsilon (u) in \Omega ,} \\ {u = 0 on \Gamma _D , \sigma \cdot n = t on \Gamma _N ,} \\ {\left. {\begin{array}{*{20}c} {{}^\sigma T = 0, (u_n - g)\sigma _n = 0} \\ {u_n - g \leqslant 0, \sigma _n \leqslant 0} \\ \end{array} } \right\}on\Gamma _C .} \\ \end{array} $$


Variational Inequality Dual Problem Posteriori Error Dual Solution Posteriori Error Estimate 
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© Vieweg+Teubner | GWV Fachverlage GmbH, Wiesbaden 2008

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