Details
| Original language | English |
|---|---|
| Pages (from-to) | 1-103 |
| Number of pages | 103 |
| Journal | Advances in Applied Mechanics |
| Volume | 52 |
| Publication status | Published - 10 May 2019 |
Abstract
Material behavior and microstructure geometries at small scales strongly influence the physical behavior at higher scales. For example, defects like cracks and dislocations evolve at lower scales and will strongly impact the material properties (mechanical, electrical, thermal, and chemical) at the macroscale. We summarize the recent developments in computational methods to simulate material behavior on multiple scales. We provide details on different techniques at various length scales: quantum, atomistic and coarse-grained models, and various continuum-based models. Furthermore, multiscale methods are broadly divided into: hierarchical, semiconcurrent, and concurrent techniques, and we review a number of modern hierarchical and semiconcurrent multiscale methods such as virtual atom cluster model, homogenization techniques, representative volume element-based methods and structural reconstruction based on Wang tiles. We also go through popular concurrent multiscale methods for fracture applications, such as extended bridging scale and extended bridging domain methods and discuss in detail adaptivity, coarse graining techniques, and their interactions. Computer implementation aspects of specific problems in the context of molecular as well as multiscale framework are also addressed for two- and three-dimensional crack growth problems. The chapter ends with conclusions and future prospects of multiscale methods.
Keywords
- Atomistic simulations, Coarse graining and adaptivity, Crack growth, Hierarchical, semiconcurrent, and concurrent methods, Homogenization and model selection, Multiphysics analysis, Multiscale analysis
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanical Engineering
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In: Advances in Applied Mechanics, Vol. 52, 10.05.2019, p. 1-103.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Multiscale modeling of material failure
T2 - Theory and computational methods
AU - Budarapu, Pattabhi Ramaiah
AU - Zhuang, Xiaoying
AU - Rabczuk, Timon
AU - Bordas, Stephane P.A.
PY - 2019/5/10
Y1 - 2019/5/10
N2 - Material behavior and microstructure geometries at small scales strongly influence the physical behavior at higher scales. For example, defects like cracks and dislocations evolve at lower scales and will strongly impact the material properties (mechanical, electrical, thermal, and chemical) at the macroscale. We summarize the recent developments in computational methods to simulate material behavior on multiple scales. We provide details on different techniques at various length scales: quantum, atomistic and coarse-grained models, and various continuum-based models. Furthermore, multiscale methods are broadly divided into: hierarchical, semiconcurrent, and concurrent techniques, and we review a number of modern hierarchical and semiconcurrent multiscale methods such as virtual atom cluster model, homogenization techniques, representative volume element-based methods and structural reconstruction based on Wang tiles. We also go through popular concurrent multiscale methods for fracture applications, such as extended bridging scale and extended bridging domain methods and discuss in detail adaptivity, coarse graining techniques, and their interactions. Computer implementation aspects of specific problems in the context of molecular as well as multiscale framework are also addressed for two- and three-dimensional crack growth problems. The chapter ends with conclusions and future prospects of multiscale methods.
AB - Material behavior and microstructure geometries at small scales strongly influence the physical behavior at higher scales. For example, defects like cracks and dislocations evolve at lower scales and will strongly impact the material properties (mechanical, electrical, thermal, and chemical) at the macroscale. We summarize the recent developments in computational methods to simulate material behavior on multiple scales. We provide details on different techniques at various length scales: quantum, atomistic and coarse-grained models, and various continuum-based models. Furthermore, multiscale methods are broadly divided into: hierarchical, semiconcurrent, and concurrent techniques, and we review a number of modern hierarchical and semiconcurrent multiscale methods such as virtual atom cluster model, homogenization techniques, representative volume element-based methods and structural reconstruction based on Wang tiles. We also go through popular concurrent multiscale methods for fracture applications, such as extended bridging scale and extended bridging domain methods and discuss in detail adaptivity, coarse graining techniques, and their interactions. Computer implementation aspects of specific problems in the context of molecular as well as multiscale framework are also addressed for two- and three-dimensional crack growth problems. The chapter ends with conclusions and future prospects of multiscale methods.
KW - Atomistic simulations
KW - Coarse graining and adaptivity
KW - Crack growth
KW - Hierarchical, semiconcurrent, and concurrent methods
KW - Homogenization and model selection
KW - Multiphysics analysis
KW - Multiscale analysis
UR - http://www.scopus.com/inward/record.url?scp=85067213520&partnerID=8YFLogxK
U2 - 10.1016/bs.aams.2019.04.002
DO - 10.1016/bs.aams.2019.04.002
M3 - Article
AN - SCOPUS:85067213520
VL - 52
SP - 1
EP - 103
JO - Advances in Applied Mechanics
JF - Advances in Applied Mechanics
SN - 0065-2156
ER -