Abstract
Article deal with the contact problems on the surface interaction of rigid stamps with a deformed layered provided that the variable friction coefficients arise in the contact zone as a function of the coordinate under the horizontal motion of stamps. The cause of the variable friction coefficients arising may be surface phenomena induced by a complex rheology of the deformed-medium surface, the chemical reactions proceeding, or a change in the properties of the contact surface of the stamps, for example, as a result of the presence of separate particles of the wear contact surface of the stamp and the base. The influence of the variable friction coefficients on the horizontal existence of the semi-infinite stamp is investigated.
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