Inverse Elastostatics Boundary Element Approach Applied To Nondestructive Evaluation

The elastostatics boundary element method is applied in an inverse problem approach to the nondestructive detection of subsurface cavities in structures. The approach relies on the overspecification of the boundary conditions at the exposed surface. The traction is specified there, and displacements are used as additional data for solving the inverse problem. The displacements are numerically simulated in this study; however in practice they may be experimentally determined, for instance by the laser speckle photography technique. In the developed iterative procedure, an initial guess is made for the shape of the cavity and a grid pattern is laid out