Evaluation of an Eulerian multi-material mixture formulation based on a single inverse deformation gradient tensor field

Ghaisas, N. S.; Subramaniam, A.; Lele, S. K.; Cook, A. W.

Title: Evaluation of an Eulerian multi-material mixture formulation based on a single inverse deformation gradient tensor field

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Abstract

We report high energy-density solids undergoing elastic-plastic deformations coupled to compressible fluids are a common occurrence in engineering applications. Examples include problems involving high-velocity impact and penetration, cavitation, and several manufacturing processes, such as cold forming. Numerical simulations of such phenomena require the ability to handle the interaction of shock waves with multi-material interfaces that can undergo large deformations and severe distortions. As opposed to Lagrangian (Benson 1992) and arbitrary Lagrangian-Eulerian (ALE) methods (Donea et al. 2004), fully Eulerian methods use grids that do not change in time. Consequently, Eulerian methods do not suffer from difficulties on account of mesh entanglement, and do not require periodic, expensive, remap operations.

Authors:

Ghaisas, N. S. ^[1]; Subramaniam, A. ^[1]; Lele, S. K. ^[1]; Cook, A. W. ^[2]

Stanford Univ., CA (United States)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Publication Date:: Sun Dec 31 00:00:00 EST 2017

Research Org.:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1423820

Report Number(s):: LLNL-JRNL-741479
Journal ID: ISSN 9999-0013

Grant/Contract Number:: AC52-07NA27344

Resource Type:: Accepted Manuscript

Journal Name:: Center for Turbulence Research Annual Briefs

Additional Journal Information:: Journal Volume: 2017; Journal ID: ISSN 9999-0013

Publisher:: Stanford University

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; 42 ENGINEERING

Citation Formats


                    Ghaisas, N. S., Subramaniam, A., Lele, S. K., and Cook, A. W. Evaluation of an Eulerian multi-material mixture formulation based on a single inverse deformation gradient tensor field.  United States: N. p., 2017. 
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                    Ghaisas, N. S., Subramaniam, A., Lele, S. K., & Cook, A. W. Evaluation of an Eulerian multi-material mixture formulation based on a single inverse deformation gradient tensor field.  United States.

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                    Ghaisas, N. S., Subramaniam, A., Lele, S. K., and Cook, A. W. Sun .  
"Evaluation of an Eulerian multi-material mixture formulation based on a single inverse deformation gradient tensor field".  United States.  https://www.osti.gov/servlets/purl/1423820.

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@article{osti_1423820,

  title        = {Evaluation of an Eulerian multi-material mixture formulation based on a single inverse deformation gradient tensor field},

  author       = {Ghaisas, N. S. and Subramaniam, A. and Lele, S. K. and Cook, A. W.},

  abstractNote = {We report high energy-density solids undergoing elastic-plastic deformations coupled to compressible fluids are a common occurrence in engineering applications. Examples include problems involving high-velocity impact and penetration, cavitation, and several manufacturing processes, such as cold forming. Numerical simulations of such phenomena require the ability to handle the interaction of shock waves with multi-material interfaces that can undergo large deformations and severe distortions. As opposed to Lagrangian (Benson 1992) and arbitrary Lagrangian-Eulerian (ALE) methods (Donea et al. 2004), fully Eulerian methods use grids that do not change in time. Consequently, Eulerian methods do not suffer from difficulties on account of mesh entanglement, and do not require periodic, expensive, remap operations.},

  doi          = {},

  journal      = {Center for Turbulence Research Annual Briefs},

  number       = ,

  volume       = 2017,

  place        = {United States},

  year         = {Sun Dec 31 00:00:00 EST 2017},

  month        = {Sun Dec 31 00:00:00 EST 2017}

}

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