TY - JOUR
T1 - Multiscale Methods for Fracture
T2 - A Review
AU - Budarapu, P. R.
AU - Rabczuk, T.
N1 - Funding Information:
PRB acknowledge the funding from the European Research Council (ERC), Grant No. 306622 through the ERC Starting Grant “Multi-field and multi-scale Computational Approach to Design and Durability of PhotoVoltaic Modules”—CA2PVM.
Publisher Copyright:
© 2017 Indian Institute of Science.
PY - 2017/9/1
Y1 - 2017/9/1
N2 - The global response of a system is often governed by the material behaviour at smaller length scales. Investigating the system mechanics at the smallest scale does not always provide the complete picture. Therefore, in the ambitious objective to derive the overall full-scale global response using a bottom-up approach, multiscale methods coupling disparate length and time scales have been evolved in the past two decades. The major objective of the multiscale methods is to reduce the computational costs by coupling the inexpensive coarse-scale/continuum based models with expensive fine-scale models. The fine-scale region is employed in the critical areas, such as crack tips or core of the dislocation. To improve the efficiency the fine-scale domain is adaptively adjusted as the defects propagate. As a result, the accuracy of the fine-scale model is combined with the efficiency of the coarse-scale model, arriving at a computationally efficient and accurate multiscale model. Currently, multiscale methods are applied to study problems in numerous fields, involving multiphysics. In this article, we present an overview of the multiscale methods for fracture applications. We discussed the techniques to model the coarse- and fine-scale domains, details of the coupling methods, adaptivity, and efficient coarse-graining techniques. The article is concluded with comments on recent trends and future scope.
AB - The global response of a system is often governed by the material behaviour at smaller length scales. Investigating the system mechanics at the smallest scale does not always provide the complete picture. Therefore, in the ambitious objective to derive the overall full-scale global response using a bottom-up approach, multiscale methods coupling disparate length and time scales have been evolved in the past two decades. The major objective of the multiscale methods is to reduce the computational costs by coupling the inexpensive coarse-scale/continuum based models with expensive fine-scale models. The fine-scale region is employed in the critical areas, such as crack tips or core of the dislocation. To improve the efficiency the fine-scale domain is adaptively adjusted as the defects propagate. As a result, the accuracy of the fine-scale model is combined with the efficiency of the coarse-scale model, arriving at a computationally efficient and accurate multiscale model. Currently, multiscale methods are applied to study problems in numerous fields, involving multiphysics. In this article, we present an overview of the multiscale methods for fracture applications. We discussed the techniques to model the coarse- and fine-scale domains, details of the coupling methods, adaptivity, and efficient coarse-graining techniques. The article is concluded with comments on recent trends and future scope.
KW - Adaptivity
KW - Atomistic simulations
KW - Coarse graining
KW - Computational fracture
KW - Multiphysics
KW - Multiscale methods
UR - http://www.scopus.com/inward/record.url?scp=85032209881&partnerID=8YFLogxK
U2 - 10.1007/s41745-017-0041-5
DO - 10.1007/s41745-017-0041-5
M3 - Review article
AN - SCOPUS:85032209881
VL - 97
SP - 339
EP - 376
JO - Journal of the Indian Institute of Science
JF - Journal of the Indian Institute of Science
SN - 0019-4964
IS - 3
ER -