SOLUTION OF THE INTEGRAL EQUATIONS IN THE THREE-DIMENSIONAL NONSYMMETRICAL CONTACT PROBLEMS WITH THE FRICTION TAKEN INTO ACCOUNT

We develop a numerical-analytic method of solution of the integral equations with weak singularity for three-dimensional contact problems with complex multiply-connected domains. The proposed method is based on the potential expansion, a regularization of the first kind 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. This gives possibility to solve contact interaction problems for asymmetrical bodies and taking into account the friction and the roughness.