A remapping scheme for history-dependent material state variables

Versino, Daniele; Mourad, Hashem M.; Luscher, Darby J.

doi:10.1002/nme.6350

Title: A remapping scheme for history-dependent material state variables

Abstract

Here, we present an interpolation scheme for use with material models involving history-dependent state variables. The interpolation scheme is based on the solution of a constrained optimization problem, to identify the smoothest monotone curve which produces an admissible solution. Unlike classical schemes used for transport equations, the proposed methodology accounts for the interdependence of the history variables and produces admissible interpolations of the material's state variables. After introducing a general solution scheme for the problem, a simplified and more computationally efficient method is derived. Finally, as a validation problem for the proposed methods, we consider the advection of internal state variables belonging to material models with highly nonlinear yield surfaces.

Authors:

^[1];

^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division

Publication Date:: 2020-03-23

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

Sponsoring Org.:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1650643

Alternate Identifier(s):: OSTI ID: 1605948

Report Number(s):: LA-UR-20-20296; LA-UR-19-24447
Journal ID: ISSN 0029-5981

Grant/Contract Number:: 89233218CNA000001

Resource Type:: Accepted Manuscript

Journal Name:: International Journal for Numerical Methods in Engineering

Additional Journal Information:: Journal Volume: 121; Journal Issue: 14; Journal ID: ISSN 0029-5981

Publisher:: Wiley

Country of Publication:: United States

Language:: English

Subject:: 42 ENGINEERING; history variables; interpolation; state dependent variable; advection; remapping; arbitrary eulerian lagrangian

Citation Formats


                    Versino, Daniele, Mourad, Hashem M., and Luscher, Darby J. A remapping scheme for history-dependent material state variables.  United States: N. p., 2020. 
Web.  doi:10.1002/nme.6350.

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                    Versino, Daniele, Mourad, Hashem M., & Luscher, Darby J. A remapping scheme for history-dependent material state variables.  United States.  https://doi.org/10.1002/nme.6350

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                    Versino, Daniele, Mourad, Hashem M., and Luscher, Darby J. Mon .  
"A remapping scheme for history-dependent material state variables".  United States.  https://doi.org/10.1002/nme.6350.  https://www.osti.gov/servlets/purl/1650643.

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@article{osti_1650643,

  title        = {A remapping scheme for history-dependent material state variables},

  author       = {Versino, Daniele and Mourad, Hashem M. and Luscher, Darby J.},

  abstractNote = {Here, we present an interpolation scheme for use with material models involving history-dependent state variables. The interpolation scheme is based on the solution of a constrained optimization problem, to identify the smoothest monotone curve which produces an admissible solution. Unlike classical schemes used for transport equations, the proposed methodology accounts for the interdependence of the history variables and produces admissible interpolations of the material's state variables. After introducing a general solution scheme for the problem, a simplified and more computationally efficient method is derived. Finally, as a validation problem for the proposed methods, we consider the advection of internal state variables belonging to material models with highly nonlinear yield surfaces.},

  doi          = {10.1002/nme.6350},

  journal      = {International Journal for Numerical Methods in Engineering},

  number       = 14,

  volume       = 121,

  place        = {United States},

  year         = {2020},

  month        = {3}

}

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Works referenced in this record:

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Similar Records

Title: A remapping scheme for history-dependent material state variables

Abstract

Citation Formats

A particle method for history-dependent materials journal, September 1994

Characteristic-Based Schemes for the Euler Equations journal, January 1986

Computational methods in Lagrangian and Eulerian hydrocodes journal, September 1992

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Inclusion of evolutionary damage measures in Eulerian wavecodes
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Lie-group interpolation and variational recovery for internal variables
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