Shape Optimization in Three-Dimensional Contact Problems with Coulomb Friction
Abstract.
We study the discretized problem of the
shape optimization of three-dimensional elastic bodies in unilateral contact.
The aim is to extend existing results to the
case of contact problems obeying the Coulomb friction law.
Mathematical modelling of the Coulomb friction problem leads to an
implicit variational inequality. It is shown that for
small coefficients of friction the discretized
problem with Coulomb friction has a unique solution and that
this solution is Lipschitzian as a function of a control variable
describing the shape of the elastic body.
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