A method of substructuring large-scale computational micromechanical problems
- verfasst von
- T. I. Zohdi, Peter Wriggers, C. Huet
- Abstract
In this work, a method is developed to decompose or substructure large-scale micromechanical simulations into a set of computationally smaller problems. In the approach the global domain is partitioned into nonoverlapping subdomains. On the interior subdomain partitions an approximate globally kinematically admissible solution is projected. This allows the subdomains to be mutually decoupled, and therefore separately solvable. The subdomain boundary value problems are solved with the exact microstructural representation contained within their respective boundaries, but with approximate displacement boundary data. The resulting microstructural solution is the assembly of the subdomain solutions, each restricted to its corresponding subdomain. The approximate solution is far more inexpensive to compute than the direct problem. A posteriori error bounds are developed to quantify the quality of the approximate solution. Numerical simulations are presented to illustrate the essential concepts.
- Organisationseinheit(en)
-
Institut für Baumechanik und Numerische Mechanik
- Externe Organisation(en)
-
University of California at Berkeley
Eidgenössische Technische Hochschule Lausanne (ETHL)
- Typ
- Artikel
- Journal
- Computer Methods in Applied Mechanics and Engineering
- Band
- 190
- Seiten
- 5639-5656
- Anzahl der Seiten
- 18
- ISSN
- 0045-7825
- Publikationsdatum
- 03.08.2001
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Numerische Mechanik, Werkstoffmechanik, Maschinenbau, Physik und Astronomie (insg.), Angewandte Informatik
- Elektronische Version(en)
-
https://doi.org/10.1016/S0045-7825(01)00189-X (Zugang:
Unbekannt)
