Abstract
Systems of integral equations, originating in plane and axisymmetric contact problems of elasticity theory in the case of cohesion of a stamp to a body, are studied. A method is developed which is based on factorization of matrix functions of a special kind and its foundation is given. Applications of the method in static and dynamic problems are presented. The method is especially effective in dynamic contact problems of stamp vibration on the surface of a layered medium or a cylinder. Other methods of solving contact problems with cohesion have been proposed in [1–8].
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