Details
| Original language | English |
|---|---|
| Pages (from-to) | 2639-2661 |
| Number of pages | 23 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 200 |
| Issue number | 37-40 |
| Publication status | Published - 13 Jun 2010 |
Abstract
Standard homogenized formulations of problems posed on microheterogeneous domains provide a lower order of accuracy in regions where highly localized variations are observed in the solution fields. In order to account for this loss of accuracy for the finite deformation analysis of generally inelastic macrostructures, a scale adaptation strategy is developed where a transition from a homogenized description to an explicit microstructural resolution is pursued in designated zones of interest. Motivated by higher-order homogenization techniques, the adaptation zones are identified based on a post-processing step on the homogenized solution and correspond to regions with high strain-gradients. In order to avoid modeling errors emanating from the use of approximate explicit macroscale constitutive formulations, an exact homogenization procedure based on databased and direct multilevel finite element computations is employed. The overall methodology is investigated in a two-dimensional setting where special attention is paid to the underlying multiscale mesh resolution and additionally demonstrated with a three-dimensional problem. Numerical observations suggest the concept of a representative adaptation zone within which scale adaptation effects can be assessed.
Keywords
- Homogenization, Multiscale analysis, Scale adaptivity
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
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 200, No. 37-40, 13.06.2010, p. 2639-2661.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - An adaptive multiscale resolution strategy for the finite deformation analysis of microheterogeneous structures
AU - Temizer, I.
AU - Wriggers, P.
N1 - Funding information: Support for this work was provided by the German Research Foundation (DFG) under Grant No. WR 19/36-1 . The assistance of Christian Weißenfels in the numerical example involving the 27-node hexahedral element is much appreciated.
PY - 2010/6/13
Y1 - 2010/6/13
N2 - Standard homogenized formulations of problems posed on microheterogeneous domains provide a lower order of accuracy in regions where highly localized variations are observed in the solution fields. In order to account for this loss of accuracy for the finite deformation analysis of generally inelastic macrostructures, a scale adaptation strategy is developed where a transition from a homogenized description to an explicit microstructural resolution is pursued in designated zones of interest. Motivated by higher-order homogenization techniques, the adaptation zones are identified based on a post-processing step on the homogenized solution and correspond to regions with high strain-gradients. In order to avoid modeling errors emanating from the use of approximate explicit macroscale constitutive formulations, an exact homogenization procedure based on databased and direct multilevel finite element computations is employed. The overall methodology is investigated in a two-dimensional setting where special attention is paid to the underlying multiscale mesh resolution and additionally demonstrated with a three-dimensional problem. Numerical observations suggest the concept of a representative adaptation zone within which scale adaptation effects can be assessed.
AB - Standard homogenized formulations of problems posed on microheterogeneous domains provide a lower order of accuracy in regions where highly localized variations are observed in the solution fields. In order to account for this loss of accuracy for the finite deformation analysis of generally inelastic macrostructures, a scale adaptation strategy is developed where a transition from a homogenized description to an explicit microstructural resolution is pursued in designated zones of interest. Motivated by higher-order homogenization techniques, the adaptation zones are identified based on a post-processing step on the homogenized solution and correspond to regions with high strain-gradients. In order to avoid modeling errors emanating from the use of approximate explicit macroscale constitutive formulations, an exact homogenization procedure based on databased and direct multilevel finite element computations is employed. The overall methodology is investigated in a two-dimensional setting where special attention is paid to the underlying multiscale mesh resolution and additionally demonstrated with a three-dimensional problem. Numerical observations suggest the concept of a representative adaptation zone within which scale adaptation effects can be assessed.
KW - Homogenization
KW - Multiscale analysis
KW - Scale adaptivity
UR - http://www.scopus.com/inward/record.url?scp=78649473789&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2010.06.013
DO - 10.1016/j.cma.2010.06.013
M3 - Article
AN - SCOPUS:78649473789
VL - 200
SP - 2639
EP - 2661
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
IS - 37-40
ER -