18 January, 2015
A 3D domain decomposition approach for the identification of spatially varying elastic material parameters
A. Moussawi, G. Lubineau, J. Xu and B. Pan (2015)
Abstract
The post-treatment of 3D displacement fields for the identification of spatially varying elastic material parameters is a large inverse problem that remains out of reach for massive 3D structures. We explore here the potential of the constitutive compatibility
method for tackling such an inverse problem, provided an appropriate domain decomposition technique is introduced. In the method described here, the statically admissible stress field that can be related through the known constitutive symmetry to
the kinematic observations is sought through minimization of an objective function which measures the violation of constitutive compatibility. After this stress reconstruction, the local material parameters are identified with the given kinematic
observations using the constitutive equation. Here, we first adapt this method to solve three dimensional identification problems and then implement it within a domain decomposition framework which allows for reduced computational load when handling
larger problems.