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An inverse finite element algorithm for parameter identification of thermoelastic damage models. (English) Zbl 0974.74062

Summary: We propose an algorithm for parameter identification of thermoelastic damage models, in which non-uniform distributions of state variables such as stresses, strains, damage variables and temperature are taken into account. To this end, a least-squares functional consisting of experimental data and simulated data is minimized, whereby the latter are obtained with the finite element method. In order to improve the efficiency of the minimization process, a gradient-based optimization algorithm is applied, and therefore the corresponding sensitivity analysis for the coupled variational problem is described in a systematic manner. For illustrative purpose, we demonstrate the performance of the algorithm on a non-homogeneous shear problem with thermal loading.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74R05 Brittle damage
74F05 Thermal effects in solid mechanics
74P99 Optimization problems in solid mechanics
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