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Connecting Lower and Higher Scales in Crystal Plasticity Modeling

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Handbook of Materials Modeling

Abstract

Metallic materials have a hierarchy of structures ranging in scale from nm to mm. We generalize the notion of crystalline plasticity models to include a range of model constructs that address phenomena associated with evolution of dislocations in crystals across a range of length and timescales. These model constructs range from coarse-grained atomistics, microscopic phase field models, and dislocation field models, to discrete dislocation dynamics, statistical continuum dislocation models, and on up to mesoscale generalized continuum models of gradient, micropolar, or micromorphic type, as well as local continuum crystal plasticity that can be applied over many grains. Key phenomena are introduced and mapped onto the capabilities of various scale-specific model constructs for dislocation plasticity. We discuss concurrent and hierarchical multiscale model transitions in space and time and summarize key challenges in closing.

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Acknowledgments

The author is grateful for the support of the Carter N. Paden, Jr. Distinguished Chair in Metals Processing at Georgia Tech, as well as prior support in pursuit of various aspects of metal plasticity from AFOSR, ONR, ARO, Eglin AFB, DARPA, NAVAIR, GE, Pratt & Whitney, Boeing, QuesTek, Simulia, the NSF-funded PSU-GT Center for Computational Materials Design (IIP-0541678, IIP-1034968), and NSF Grants CMMI-1232878, CMMI-0758265, CMMI-1030103, and CMMI-1333083.

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  1. Woodruff School of Mechanical Engineering, School of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, GA, USA

    David L. McDowell

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  1. David L. McDowell
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Correspondence to David L. McDowell .

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Editors and Affiliations

  1. Institute of Physics, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Wanda Andreoni

  2. Department of Nuclear Science & Engineering , Massachusetts Institute of Technology , Cambridge, MA, USA

    Sidney Yip

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  1. Department of Mechanical Engineering, Stanford University, Stanford, CA, USA

    Wei Cai

  2. Dept. of Mechanical Engineering, Johns Hopkins Univeristy, Baltimore, MD, USA

    Somnath Ghosh

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McDowell, D.L. (2018). Connecting Lower and Higher Scales in Crystal Plasticity Modeling. In: Andreoni, W., Yip, S. (eds) Handbook of Materials Modeling . Springer, Cham. https://doi.org/10.1007/978-3-319-42913-7_17-1

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  • DOI: https://doi.org/10.1007/978-3-319-42913-7_17-1

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