Application of the Finite Element Method to Inverse Problems in Solid Mechanics
This paper presents the application of the finite element method to two inverse problems in solid mechanics. In the first application, a formulation for the inverse detection of unknown boundary conditions for thermoelastic problems is detailed. The second application involves the inverse determination of heterogenous material properties for a loaded structure. Both approaches involve the use of finite element models and over-specified boundary information such as displacements, reaction forces, and reaction moments to inversely determine unknown quantities.