Application of the Finite Element Method to Inverse Problems in Solid Mechanics

Brian H. Dennis, Weiya Jin, George S Dulikravich, Jovo Jaric


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.

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