| The objective of this dissertation is to develop algorithms for solving boundary and force inverse problems. In boundary inverse problems, the location, size and shape of a cavity are unknown. Instead, extra experimental data are provided at several internal points in the structure or at a set of observation points on the free surface of a half-space. Through an iterative process, the location and dimension of the cavity is determined by using boundary element method and equivalent inclusion method coupled with nonlinear optimization technique. In force inverse problems, the objective is to determine the crack length and the magnitude of a static force acting on a fault from a number of displacement readings at points on the surface, and to propose a computer-aided nondestructive measurement to detect impending failure of large-scale structures under bending loads by calculating residual plastic strains from measured boundary data. |
