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FEATURES OF VARIATIONAL FORMULATION OF THE INVERSE PROBLEM OF THE THIN PLATE THEORY

The problem of identification of hard inclusions in the material of an elastic plate by the results of strain measurements is considered. The problem is formulated as the inverse problem of the theory of thin plates. The variation formulation contains the functional of the total energy of the plate and an additional condition that determines the proximity of the plate calculated using the mathematical model and the observed states. The search for a solution to the inverse problem is carried out in two stages: the location of the inclusions is determined; the values of the physical and mechanical parameters of the inclusions are specified using the gradient method.