An inverse finite-element algorithm for parameter identification of thermoelastic damage models

Authors
Citation
R. Mahnken, An inverse finite-element algorithm for parameter identification of thermoelastic damage models, INT J NUM M, 48(7), 2000, pp. 1015-1036
Citations number
35
Categorie Soggetti
Engineering Mathematics
Journal title
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
ISSN journal
00295981 → ACNP
Volume
48
Issue
7
Year of publication
2000
Pages
1015 - 1036
Database
ISI
SICI code
0029-5981(20000710)48:7<1015:AIFAFP>2.0.ZU;2-Q
Abstract
In this contribution an algorithm for parameter identification of thermoela stic damage models is proposed, in which non-uniform distributions of the s tate variables such as stresses, strains, damage variables and temperature are taken into account. To this end a least-squares functional consisting o f experimental data and simulated data is minimized, whereby the latter are obtained with the finite-element method. In order to improve the efficienc y of the minimization process, a gradient-based optimization algorithm is a pplied, and therefore the corresponding sensitivity analysis for the couple d variational problem is described in a systematic manner. For illustrative purpose, the performance of the algorithm is demonstrated for a non-homoge neous shear problem with thermal loading. Copyright (C) 2000 John Wiley & S ons, Ltd.