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Generalized Models and Non-classical Approaches in Complex Materials 2 pp 55–77Cite as

The Limitations and Successes of Concurrent Dynamic Multiscale Modeling Methods at the Mesoscale

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Part of the Advanced Structured Materials book series (STRUCTMAT,volume 90)

Abstract

Dynamic concurrent multiscale modeling methods are reviewed and then analyzed based on their governing equations in terms of consistency in material descriptions between different scales, wave propagation across the numerical interfaces between the different descriptions, and advances in describing defects in the coarse-grained domain. The analysis finds that most methods suffer from the consequences of inconsistent materials descriptions between representations at different scales; a few methods such as Concurrent Atomistic Continuum (CAC), Coupled Atomistic Discrete Dislocation (CADD), and the coupled Extended Finite Element Method (XFEM) are capable of simulating moving defects in the coarse-scale domain to improve practicality and prediction. Application of multiscale simulation to coupled thermal and mechanical problems is showing promise. Mesoscale evolution of defects, largely beyond the reach of conventional atomistic methods, is still beyond the reach of many concurrent multiscale methods.

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Acknowledgements

This paper is written in honor of Dr. Gerald Maugin. This material is based upon research supported by the U.S. Department of Energy, Office of Basic Energy Sciences, Division of Materials Sciences and Engineering under Award #DE-SC0006539.

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Authors and Affiliations

  1. Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL, 32611-6250, USA

    Adrian Diaz & Youping Chen

  2. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, 30332-0405, USA

    David McDowell

  3. School of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, GA, 30332-0245, USA

    David McDowell

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Correspondence to Adrian Diaz .

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Editors and Affiliations

  1. Institut für Mechanik, Otto-von-Guericke-Universität Magdeburg, Magdeburg, Germany

    Holm Altenbach

  2. Centre National de la Recherche Scientifique, UMR 7190, Institut Jean Le Rond d’Alembert, Sorbonne Université, Paris, France

    Joël Pouget

  3. Centre National de la Recherche Scientifique, UMR 7190, Institut Jean Le Rond d’Alembert, Sorbonne Université, Paris, France

    Martine Rousseau

  4. Centre National de la Recherche Scientifique, UMR 7190, Institut Jean Le Rond d’Alembert, Sorbonne Université, Paris, France

    Bernard Collet

  5. Centre National de la Recherche Scientifique, UMR 7190, Institut Jean Le Rond d’Alembert, Sorbonne Université, Paris, France

    Thomas Michelitsch

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Diaz, A., McDowell, D., Chen, Y. (2018). The Limitations and Successes of Concurrent Dynamic Multiscale Modeling Methods at the Mesoscale. In: Altenbach, H., Pouget, J., Rousseau, M., Collet, B., Michelitsch, T. (eds) Generalized Models and Non-classical Approaches in Complex Materials 2. Advanced Structured Materials, vol 90. Springer, Cham. https://doi.org/10.1007/978-3-319-77504-3_3

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