IDENTIFICATION OF POSITIONS OF SEPARATED RIGID INCLUSIONS BY BOUNDARY MEASUREMENTS FOR A SIGNORINI PROBLEM.

Autor: Lazarev N. P., Kovtunenko V. A.
Předmět:
Zdroj: Eurasian Journal of Mathematical & Computer Applications (EJMCA); 2024, Vol. 12 Issue 2, p67-80, 14p
Abstrakt: A variational inequality describing an elastic body with a finite set of rigid inclusions is considered. The Signorini condition is imposed on a part of the boundary of the body. On the other part a homogeneous Dirichlet boundary condition is specified. The inclusions are arranged such that distance between any two inclusions is not less than a given positive number. All inclusions are located at a nonzero distance from the outer boundary. An inverse problem is investigated, which consists in identification of positions of the rigid inclusions from the measurement of displacements on an observation boundary. Continuous dependency of the solution of the forward problem on parameters of inclusions' location and rotation is established. This provides existence of a solution for the inverse identification problem. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index