FORMULATION OF IDENTIFYING MATERIAL PROPERTY DISTRIBUTION BASED ON EQUIVALENT INCLUSION METHOD

Abstract

A new formulation of an inverse problem of identifying a material property distribution is proposed. The formulation is based on the equivalent inclusion method which solves a heterogeneous body problem using a homogeneous body. Two linear inverse problems are obtained, and, due to the linearity, the limitation of identifying the distribution is clearly seen. Two illustrative problems are studied. For the first problem, quantities which can be identified and those which cannot be determined are clarified. For the second problem, the stress distribution is obtained by measuring strain distribution, even though the constitutive relation is not known.