Plashenko S. Coupled problems of reverse impact of deformation on external load

Mechanical systems under external influences are considered. In turn, external influences depend on the changes in the state of the system. Thus, we have mechanical systems with feedback. Usually in the problems of mechanics of a deformable solid body, the functions of external influence are considered to be known in advance and such that do not depend on the changes in the body. However, there is a number of important problems in which the action of external forces on the system is not known in advance and depends on changes in the system itself. Such problems are called coupled. General formulation of coupled problems using operator equations was defined in the thesis, using which a number of couped problems in different spheres of mechanics were solved.