An auxiliary plane problem on the action of a stamp in the tangential direction is solved. The kernel of the integral relationship between the harmonics of tangential stresses and the harmonics of the tangential component of the velocity vector is obtained. Based on this, a resolving infinite system of Volterra integral equations of the second kind with respect to the unknown harmonics of the tangential component of the velocity vector is derived. The obtained solutions make it possible to solve impact problems when the striker moves at an arbitrary angle and more accurately calibrate the computational process for solving contact problems in a dynamic elastic-plastic formulation.
Keywords: Plane, tangential, impact, elastic, contact, dynamic.