- AutorIn
- Martina Balg
- Arnd Meyer
- Titel
- Fast simulation of (nearly) incompressible nonlinear elastic material at large strain via adaptive mixed FEM
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:ch1-qucosa-96915
- Schriftenreihe
- Chemnitz Scientific Computing Preprints
- Bandnummer
- 12-03
- ISSN
- 1864-0087
- Abstract (EN)
- The main focus of this work lies in the simulation of the deformation of mechanical components which consist of nonlinear elastic, incompressible material and that are subject to large deformations. Starting from a nonlinear formulation one can derive a discrete problem by using linearisation techniques and an adaptive mixed finite element method. This turns out to be a saddle point problem that can be solved via a Bramble-Pasciak conjugate gradient method. With some modifications the simulation can be improved.
- Andere Ausgabe
- Chemnitz Scientific Computing Preprints
Link: http://www.tu-chemnitz.de/mathematik/csc/preprints.php - Freie Schlagwörter (DE)
- Sattelpunktproblem, große Deformation, gemischte Finite-Elemente-Methode
- Freie Schlagwörter (EN)
- nonlinear elasticity, large strain, adaptivity, mixed finite element method, saddle point problem
- Klassifikation (DDC)
- 518
- Normschlagwörter (GND)
- Inkompressibilität, Nichtlineare Elastizitätstheorie, Adaptives Verfahren
- Herausgeber (Institution)
- Spitzentechnologiecluster eniPROD
- Publizierende Institution
- Technische Universität Chemnitz, Chemnitz
- URN Qucosa
- urn:nbn:de:bsz:ch1-qucosa-96915
- Veröffentlichungsdatum Qucosa
- 19.10.2012
- Dokumenttyp
- Preprint
- Sprache des Dokumentes
- Englisch
- Inhaltsverzeichnis
1. Introduction 2. Basics 3. Mixed variational formulation 4. Solution method 5. Error estimation 6. LBB conditions 7. Improvement suggestions