Approximation and numerical realization of 3D contact problems with given friction and a coefficient of friction depending on the solution
Jaroslav Haslinger, Tomáš Ligurský (2009)
Applications of Mathematics
Similarity:
The paper presents the analysis, approximation and numerical realization of 3D contact problems for an elastic body unilaterally supported by a rigid half space taking into account friction on the common surface. Friction obeys the simplest Tresca model (a slip bound is given a priori) but with a coefficient of friction which depends on a solution. It is shown that a solution exists for a large class of and is unique provided that is Lipschitz continuous with a sufficiently small...