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Mesoscale models of interface mechanics in crystalline solids: a review

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Abstract

Theoretical and computational methods for representing mechanical behaviors of crystalline materials in the vicinity of planar interfaces are examined and compared. Emphasis is on continuum-type resolutions of microstructures at the nanometer and micrometer levels, i.e., mesoscale models. Grain boundary interfaces are considered first, with classes of models encompassing sharp interface, continuum defect (i.e., dislocation and disclination), and diffuse interface types. Twin boundaries are reviewed next, considering sharp interface and diffuse interface (e.g., phase field) models as well as pseudo-slip crystal plasticity approaches to deformation twinning. Several classes of models for evolving failure interfaces, i.e., fracture surfaces, in single crystals and polycrystals are then critically summarized, including cohesive zone approaches, continuum damage theories, and diffuse interface models. Important characteristics of compared classes of models for a given physical behavior include complexity, generality/flexibility, and predictive capability versus number of free or calibrated parameters.

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Acknowledgements

Much of this paper was written while the author served as a visiting research fellow at Columbia University in the Department of Civil Engineering and Engineering Mechanics of the Fu Foundation School of Engineering and Applied Science in New York, NY, USA. The author acknowledges the courtesy of Dr. WaiChing (Steve) Sun for hosting his sabbatical visit at Columbia University in 2016.

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Authors and Affiliations

  1. Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, NY, 10027, USA

    J. D. Clayton

  2. A. James Clark School of Engineering, University of Maryland, College Park, MD, 20742, USA

    J. D. Clayton

  3. Impact Physics, US ARL, Aberdeen, MD, 21005-5066, USA

    J. D. Clayton

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  1. J. D. Clayton
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Correspondence to J. D. Clayton.

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Invited review article for Special Issue of Journal of Materials Science.

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Clayton, J.D. Mesoscale models of interface mechanics in crystalline solids: a review. J Mater Sci 53, 5515–5545 (2018). https://doi.org/10.1007/s10853-017-1596-2

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  • DOI: https://doi.org/10.1007/s10853-017-1596-2

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