A method of substructuring large-scale computational micromechanical problems

authored by: 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.
Organisation(s): Institute of Mechanics and Computational Mechanics
External Organisation(s): University of California at Berkeley
École polytechnique fédérale de Lausanne (EPFL)
Type: Article
Journal: Computer Methods in Applied Mechanics and Engineering
Volume: 190
Pages: 5639-5656
No. of pages: 18
ISSN: 0045-7825
Publication date: 03.08.2001
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Mechanics of Materials, Mechanical Engineering, Physics and Astronomy(all), Computer Science Applications
Electronic version(s): https://doi.org/10.1016/S0045-7825(01)00189-X (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{57329c581a6247409f099b40250c0134,
title = "A method of substructuring large-scale computational micromechanical problems",
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.",
keywords = "Large-scale computing, Micromechanics, Substructuring",
author = "Zohdi, {T. I.} and Peter Wriggers and C. Huet",
year = "2001",
month = aug,
day = "3",
doi = "10.1016/S0045-7825(01)00189-X",
language = "English",
volume = "190",
pages = "5639--5656",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",
number = "43-44",
}