Abstract.

We develop a numerical-analytic method of solution of the integral equations withweak singularity for three-dimensional contact problems with complex multiply-connected do-mains. The proposed method is based on the potential expansion, a regularization of the firstkind Fredholm equation that leads to the second kind equation and smoothing of the kernels.Simple layer potential expansion is developed when the density has no circular symmetry. Thisgives possibility to solve contact interaction problems for asymmetrical bodies and taking intoaccount the friction and the roughness.

Keywords:

contact problem, integral equation, kernel, regularization, potential expansion, smallparameter, friction.