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Multiscale Methods for Fracture: A Review\(^\bigstar \)

  • Review Article
  • Published:
Journal of the Indian Institute of Science Aims and scope

Abstract

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.

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Acknowledgements

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.

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Authors and Affiliations

  1. School of Mechanical Sciences, Indian Institute of Technology Bhubaneswar, Bhubaneswar, 752050, India

    P. R. Budarapu

  2. Department of Aerospace Engineering, Indian Institute of Science, Bangalore, 560012, India

    P. R. Budarapu

  3. Institute of Structural Mechanics, Bauhaus University of Weimar, 99423, Weimar, Germany

    T. Rabczuk

  4. Division of Computational Mechanics, Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    T. Rabczuk

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  1. P. R. Budarapu
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  2. T. Rabczuk
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Correspondence to P. R. Budarapu.

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\(^\bigstar \)Dedicated to the researchers of IISc.

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Budarapu, P.R., Rabczuk, T. Multiscale Methods for Fracture: A Review\(^\bigstar \) . J Indian Inst Sci 97, 339–376 (2017). https://doi.org/10.1007/s41745-017-0041-5

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