Details
| Original language | English |
|---|---|
| Pages (from-to) | 5639-5656 |
| Number of pages | 18 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 190 |
| Issue number | 43-44 |
| Publication status | Published - 3 Aug 2001 |
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
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science(all)
- Computer Science Applications
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Computer Methods in Applied Mechanics and Engineering, Vol. 190, No. 43-44, 03.08.2001, p. 5639-5656.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A method of substructuring large-scale computational micromechanical problems
AU - Zohdi, T. I.
AU - Wriggers, Peter
AU - Huet, C.
PY - 2001/8/3
Y1 - 2001/8/3
N2 - 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.
AB - 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.
KW - Large-scale computing
KW - Micromechanics
KW - Substructuring
UR - http://www.scopus.com/inward/record.url?scp=0035902845&partnerID=8YFLogxK
U2 - 10.1016/S0045-7825(01)00189-X
DO - 10.1016/S0045-7825(01)00189-X
M3 - Article
AN - SCOPUS:0035902845
VL - 190
SP - 5639
EP - 5656
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
IS - 43-44
ER -