Connecting Lower and Higher Scales in Crystal Plasticity Modeling

  • David L. McDowellEmail author
Reference work entry


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.



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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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Woodruff School of Mechanical Engineering, School of Materials Science and EngineeringGeorgia Institute of TechnologyAtlantaUSA

Section editors and affiliations

  • Wei Cai
    • 1
  • Somnath Ghosh
    • 2
  1. 1.Department of Mechanical EngineeringStanford UniversityStanfordUSA
  2. 2.Dept. of Mechanical EngineeringJohns Hopkins UniveristyBaltimoreUSA

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