Details
| Original language | English |
|---|---|
| Pages (from-to) | 2507-2525 |
| Number of pages | 19 |
| Journal | International Journal of Solids and Structures |
| Volume | 36 |
| Issue number | 17 |
| Publication status | Published - 12 May 1999 |
Abstract
A domain decomposition methodis developed to reduce the computational complexity of boundary value problems associated withthe structural analysis of bodies with arbitrary external geometry, loading and linearly elasticmicrostructure. The purpose of the method is to augment existing numerical discretizationmethods of analysis, such as the finite element method. The approach is to partition and decouplethe heterogeneous body into more computationally tractable, nonoverlapping, subdomains whoseunion forms the entire domain under analysis. This is achieved by approximating the subdomainboundary conditions. The approximate boundary conditions, of displacement or traction type, aresupplied from the solution to a relatively computationally inexpensive auxiliary boundary valueproblem characterized by a simple regularized microstructure. Since the decoupled subdomainsmay then be analyzed separately, the memory requirements are reduced and computingprocedures are trivially parallelizable. A-posteriori error bounds are developed for solutionsgenerated by this process. It is shown that, in the special case of uniform exterior loading, theerror bounds collapse into forms which imply results pertaining to effective property orderingcoinciding with those published by .
ASJC Scopus subject areas
- Mathematics(all)
- Modelling and Simulation
- Materials Science(all)
- Physics and Astronomy(all)
- Condensed Matter Physics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Mathematics(all)
- Applied Mathematics
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In: International Journal of Solids and Structures, Vol. 36, No. 17, 12.05.1999, p. 2507-2525.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A domain decomposition method for bodies with heterogeneous microstructure basedon material regularization
AU - Zohdi, T.
AU - Wriggers, Peter
PY - 1999/5/12
Y1 - 1999/5/12
N2 - A domain decomposition methodis developed to reduce the computational complexity of boundary value problems associated withthe structural analysis of bodies with arbitrary external geometry, loading and linearly elasticmicrostructure. The purpose of the method is to augment existing numerical discretizationmethods of analysis, such as the finite element method. The approach is to partition and decouplethe heterogeneous body into more computationally tractable, nonoverlapping, subdomains whoseunion forms the entire domain under analysis. This is achieved by approximating the subdomainboundary conditions. The approximate boundary conditions, of displacement or traction type, aresupplied from the solution to a relatively computationally inexpensive auxiliary boundary valueproblem characterized by a simple regularized microstructure. Since the decoupled subdomainsmay then be analyzed separately, the memory requirements are reduced and computingprocedures are trivially parallelizable. A-posteriori error bounds are developed for solutionsgenerated by this process. It is shown that, in the special case of uniform exterior loading, theerror bounds collapse into forms which imply results pertaining to effective property orderingcoinciding with those published by .
AB - A domain decomposition methodis developed to reduce the computational complexity of boundary value problems associated withthe structural analysis of bodies with arbitrary external geometry, loading and linearly elasticmicrostructure. The purpose of the method is to augment existing numerical discretizationmethods of analysis, such as the finite element method. The approach is to partition and decouplethe heterogeneous body into more computationally tractable, nonoverlapping, subdomains whoseunion forms the entire domain under analysis. This is achieved by approximating the subdomainboundary conditions. The approximate boundary conditions, of displacement or traction type, aresupplied from the solution to a relatively computationally inexpensive auxiliary boundary valueproblem characterized by a simple regularized microstructure. Since the decoupled subdomainsmay then be analyzed separately, the memory requirements are reduced and computingprocedures are trivially parallelizable. A-posteriori error bounds are developed for solutionsgenerated by this process. It is shown that, in the special case of uniform exterior loading, theerror bounds collapse into forms which imply results pertaining to effective property orderingcoinciding with those published by .
UR - http://www.scopus.com/inward/record.url?scp=0033149669&partnerID=8YFLogxK
U2 - 10.1016/S0020-7683(98)00124-3
DO - 10.1016/S0020-7683(98)00124-3
M3 - Article
AN - SCOPUS:0033149669
VL - 36
SP - 2507
EP - 2525
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
SN - 0020-7683
IS - 17
ER -