- AutorIn
- Marcus Meyer
- Titel
- Parameter identification problems for elastic large deformations - Part I: model and solution of the inverse problem
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:ch1-200901869
- Schriftenreihe
- Chemnitz Scientific Computing Preprints
- Bandnummer
- 09-05
- ISSN
- 1864-0087
- Abstract (EN)
- In this paper we discuss the identification of parameter functions in material models for elastic large deformations. A model of the the forward problem is given, where the displacement of a deformed material is found as the solution of a n onlinear PDE. Here, the crucial point is the definition of the 2nd Piola-Kirchhoff stress tensor by using several material laws including a number of material parameters. In the main part of the paper we consider the identification of such parameters from measured displacements, where the inverse problem is given as an optimal control problem. We introduce a solution of the identification problem with Lagrange and SQP methods. The presented algorithm is applied to linear elastic material with large deformations.
- Andere Ausgabe
- Link: http://www.tu-chemnitz.de/mathematik/csc/preprints.php
- Freie Schlagwörter
- identification problem
- large elastic deformations
- material laws
- nonlinear inverse problem
- sequential quadratic programming
- Klassifikation (DDC)
- 510
- Normschlagwörter (GND)
- Inverses Problem
- Nichtlineare partielle Differentialgleichung
- Publizierende Institution
- Technische Universität Chemnitz, Chemnitz
- URN Qucosa
- urn:nbn:de:bsz:ch1-200901869
- Veröffentlichungsdatum Qucosa
- 20.11.2009
- Dokumenttyp
- Preprint
- Sprache des Dokumentes
- Englisch