A new algorithm for solving 3D contact problems with Coulomb friction
نویسنده
چکیده
The paper deals with solving of contact problems with Coulomb friction for a system of 3D elastic bodies. The iterative method of successive approximations is used in order to find a fixed point of certain mapping that defines the solution. In each iterative step, an auxiliary problem with given friction is solved that is discretized by the FETI method. Then the duality theory of convex optimization is used in order to obtain the constrained quadratic programming problem that, in contrast to 2D case, is subject to quadratic inequality constraints. The solution is computed (among others) by a novelly developed algorithm of constrained quadratic programming. Numerical experiments demonstrate the performance of the whole computational process.
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