A dislocation-based crystal plasticity framework for dynamic ductile failure of single crystals

Nguyen, Thao; Luscher, D. J.; Wilkerson, J. W.

doi:10.1016/j.jmps.2017.07.020

Title: A dislocation-based crystal plasticity framework for dynamic ductile failure of single crystals

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Abstract

We developed a framework for dislocation-based viscoplasticity and dynamic ductile failure to model high strain rate deformation and damage in single crystals. The rate-dependence of the crystal plasticity formulation is based on the physics of relativistic dislocation kinetics suited for extremely high strain rates. The damage evolution is based on the dynamics of void growth, which are governed by both micro-inertia as well as dislocation kinetics and dislocation substructure evolution. Furthermore, an averaging scheme is proposed in order to approximate the evolution of the dislocation substructure in both the macroscale as well as its spatial distribution at the microscale. In addition, a concept of a single equivalent dislocation density that effectively captures the collective influence of dislocation density on all active slip systems is proposed here. Together, these concepts and approximations enable the use of semi-analytic solutions for void growth dynamics developed in [J. Wilkerson and K. Ramesh. A dynamic void growth model governed by dislocation kinetics. J. Mech. Phys. Solids, 70:262–280, 2014.], which greatly reduce the computational overhead that would otherwise be required. The resulting homogenized framework has been implemented into a commercially available finite element package, and a validation study against a suite of direct numerical simulations wasmore » carried out.« less

Authors:

Nguyen, Thao ^[1];

^[2]; Wilkerson, J. W. ^[1]

Univ. of Texas, San Antonio, TX (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:: Wed Aug 02 00:00:00 EDT 2017

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1374349

Alternate Identifier(s):: OSTI ID: 1549669

Report Number(s):: LA-UR-17-21308
Journal ID: ISSN 0022-5096

Grant/Contract Number:: AC52-06NA25396

Resource Type:: Accepted Manuscript

Journal Name:: Journal of the Mechanics and Physics of Solids

Additional Journal Information:: Journal Volume: 108; Journal ID: ISSN 0022-5096

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; Crystal plasticity; Damage; Dislocation; Dynamics; Failure; Fracture; Strain rate; Shock; Spall; Void

Citation Formats


                    Nguyen, Thao, Luscher, D. J., and Wilkerson, J. W. A dislocation-based crystal plasticity framework for dynamic ductile failure of single crystals.  United States: N. p., 2017. 
Web.  doi:10.1016/j.jmps.2017.07.020.

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                    Nguyen, Thao, Luscher, D. J., & Wilkerson, J. W. A dislocation-based crystal plasticity framework for dynamic ductile failure of single crystals.  United States.  https://doi.org/10.1016/j.jmps.2017.07.020

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                    Nguyen, Thao, Luscher, D. J., and Wilkerson, J. W. Wed .  
"A dislocation-based crystal plasticity framework for dynamic ductile failure of single crystals".  United States.  https://doi.org/10.1016/j.jmps.2017.07.020.  https://www.osti.gov/servlets/purl/1374349.

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@article{osti_1374349,

  title        = {A dislocation-based crystal plasticity framework for dynamic ductile failure of single crystals},

  author       = {Nguyen, Thao and Luscher, D. J. and Wilkerson, J. W.},

  abstractNote = {We developed a framework for dislocation-based viscoplasticity and dynamic ductile failure to model high strain rate deformation and damage in single crystals. The rate-dependence of the crystal plasticity formulation is based on the physics of relativistic dislocation kinetics suited for extremely high strain rates. The damage evolution is based on the dynamics of void growth, which are governed by both micro-inertia as well as dislocation kinetics and dislocation substructure evolution. Furthermore, an averaging scheme is proposed in order to approximate the evolution of the dislocation substructure in both the macroscale as well as its spatial distribution at the microscale. In addition, a concept of a single equivalent dislocation density that effectively captures the collective influence of dislocation density on all active slip systems is proposed here. Together, these concepts and approximations enable the use of semi-analytic solutions for void growth dynamics developed in [J. Wilkerson and K. Ramesh. A dynamic void growth model governed by dislocation kinetics. J. Mech. Phys. Solids, 70:262–280, 2014.], which greatly reduce the computational overhead that would otherwise be required. The resulting homogenized framework has been implemented into a commercially available finite element package, and a validation study against a suite of direct numerical simulations was carried out.},

  doi          = {10.1016/j.jmps.2017.07.020},

  journal      = {Journal of the Mechanics and Physics of Solids},

  number       = ,

  volume       = 108,

  place        = {United States},

  year         = {Wed Aug 02 00:00:00 EDT 2017},

  month        = {Wed Aug 02 00:00:00 EDT 2017}

}

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