Identification of finitely many small defects in an anisotropic linearly elastic body from a single static test

摘要

The problem of identification of finitely many small defects (inclusions, cavities, cracks) clearly separated from each other in the arbitrarily anisotropic linearly elastic space is considered. It is assumed that the forces and displacements are measured on the outer boundary of the body in a single static experiment. A method for determining the number of defects and their center position from the available data is developed. The geometric parameters (dimensions and orientations) of defects are determined if they have ellipsoidal shapes.