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International Conference on Mathematical Modeling and Scientific Computing
April 2-6, 2001
Middle East Technical University and Selcuk University
Ankara and Konya, Turkey

Organizers
F. Bornemann (Munich University of Tecnology, Germany), H. Bulgak (Selcuk University, Konya, Turkey), V. Ganzha (Munich University of Technology, Germany), B. Karasozen (METU, Ankara, Turkey), A. Sinan (Selcuk University, Konya, Turkey), C. Zenger (Munich University of Technology, Germany)

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Identification of Material Parameters for Inelastic Constitutive Models and Stochastic Simulations
by
Tobias W. Harth
Department of Mathematics, Darmstadt University of Technology
Coauthors: J. Lehn(Department of Mathematics, Darmstadt University of Technology)

In order to predict the behaviour of loaded materials constitutive models are applied, which present a mathematical frame for the description of inelastic deformation. In our project of the Sonderforschungsbereich 298 we analyse the influence of scattering test data on the identification of the material parameters. We consider the constitutive model of Chan, Bodner, and Lindholm which consists of a system of first order differential equations. Since identification experiments are very expensive we are forced to cope with only a small number of them. Since this number of experiments is too small for a proper statistical analysis the performed experiments are analysed in order to develop stochastic models of the test data. This means that the artificial data gained from these models have to exhibit the same effects as the measured experimental data. The models are based on first-order autoregressive processes (AR[1]-processes). We interprete the process of parameter identification as a stochastic parameter estimation. At first, artificial data is generated and then we identify parameter vectors from these simulated experiments. We compare the mean values and standard deviations of these parameter vectors with the optimal parameter vector which is fitted from all the available test data. We also compute the covariances of the estimated parameter vectors and compare the induced model responses

Date received: January 19, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagk-30.