Independent stress control in heterogeneous systems with eigendeformations (Q2870390)

The present paper is focused on the discussion of an algorithm allowing the investigation of independent stress control in deformable heterogeneous systems with eigendeformations. The independent stress control means the creation of a desired stress field in the system by means of eigendeformations in such a way that the total deformation of the system remains unchanged. In the framework of the proposed algorithm, the mathematical formalization of constraints associated with a distribution of eigendeformations is done. An existence theorem is proved for the solution of the problem on independent stress control in the presence of constraints. For the case of the solution existence, a procedure of determining the optimal parameters of eigendeformations is developed.