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An inverse finite‐element algorithm for parameter identification of thermoelastic damage models
Author(s) -
Mahnken R.
Publication year - 2000
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(20000710)48:7<1015::aid-nme912>3.0.co;2-4
Subject(s) - thermoelastic damping , finite element method , minification , inverse problem , sensitivity (control systems) , mathematics , least squares function approximation , state variable , algorithm , identification (biology) , inverse , mathematical optimization , thermal , computer science , mathematical analysis , structural engineering , engineering , physics , geometry , thermodynamics , botany , biology , statistics , electronic engineering , estimator
In this contribution an algorithm for parameter identification of thermoelastic damage models is proposed, in which non‐uniform distributions of the 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, the performance of the algorithm is demonstrated for a non‐homogeneous shear problem with thermal loading. Copyright © 2000 John Wiley & Sons, Ltd.