Three-dimensional explicit finite element formulation for shear localization with global tracking of embedded weak discontinuities

Jin, Tao; Mourad, Hashem Mohamed; Bronkhorst, Curt Allan; Livescu, Veronica; Zhang, Xiaoxuan; Linder, Christian; Regueiro, Richard A.

doi:10.1016/j.cma.2019.05.011

Title: Three-dimensional explicit finite element formulation for shear localization with global tracking of embedded weak discontinuities

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Abstract

Shear localization is a damage mechanism characterized by the concentration of plastic deformation within thin bands of materials, often observed as a precursor to failure in metals. In this study, we present a three-dimensional explicit finite element formulation with embedded weak discontinuities for the treatment of shear localization under dynamic loading conditions. In this formulation, the onset of localization is detected via a material stability analysis suitable for rate-sensitive materials, and the continuity of propagating shear bands is ensured using a global tracking strategy involving a heat-conduction type boundary value problem, solved for a scalar level set function over the global domain of the problem. In addition, we propose a modified quadrature rule that is used to compute the contribution of an individual element to the global finite element arrays, taking into account the position of the embedded shear band within that element.

Authors:

Jin, Tao ^[1];

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^[2];

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^[3];

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Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Univ. of Wisconsin, Madison, WI (United States)
Stanford Univ., Stanford, CA (United States)
Univ. of Colorado, Boulder, CO (United States)

Publication Date:: Thu May 23 00:00:00 EDT 2019

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

Sponsoring Org.:: USDOE

OSTI Identifier:: 1524405

Alternate Identifier(s):: OSTI ID: 1702468

Report Number(s):: LA-UR-18-23487
Journal ID: ISSN 0045-7825

Grant/Contract Number:: 89233218CNA000001

Resource Type:: Accepted Manuscript

Journal Name:: Computer Methods in Applied Mechanics and Engineering

Additional Journal Information:: Journal Volume: 353; Journal Issue: C; Journal ID: ISSN 0045-7825

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 42 ENGINEERING; Shear localization; Embedded weak discontinuity; Global shear band tracking strategy; Elastic–viscoplastic materials; Explicit dynamic analysis

Citation Formats


                    Jin, Tao, Mourad, Hashem Mohamed, Bronkhorst, Curt Allan, Livescu, Veronica, Zhang, Xiaoxuan, Linder, Christian, and Regueiro, Richard A. Three-dimensional explicit finite element formulation for shear localization with global tracking of embedded weak discontinuities.  United States: N. p., 2019. 
Web.  doi:10.1016/j.cma.2019.05.011.

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                    Jin, Tao, Mourad, Hashem Mohamed, Bronkhorst, Curt Allan, Livescu, Veronica, Zhang, Xiaoxuan, Linder, Christian, & Regueiro, Richard A. Three-dimensional explicit finite element formulation for shear localization with global tracking of embedded weak discontinuities.  United States.  https://doi.org/10.1016/j.cma.2019.05.011

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                    Jin, Tao, Mourad, Hashem Mohamed, Bronkhorst, Curt Allan, Livescu, Veronica, Zhang, Xiaoxuan, Linder, Christian, and Regueiro, Richard A. Thu .  
"Three-dimensional explicit finite element formulation for shear localization with global tracking of embedded weak discontinuities".  United States.  https://doi.org/10.1016/j.cma.2019.05.011.  https://www.osti.gov/servlets/purl/1524405.

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@article{osti_1524405,

  title        = {Three-dimensional explicit finite element formulation for shear localization with global tracking of embedded weak discontinuities},

  author       = {Jin, Tao and Mourad, Hashem Mohamed and Bronkhorst, Curt Allan and Livescu, Veronica and Zhang, Xiaoxuan and Linder, Christian and Regueiro, Richard A.},

  abstractNote = {Shear localization is a damage mechanism characterized by the concentration of plastic deformation within thin bands of materials, often observed as a precursor to failure in metals. In this study, we present a three-dimensional explicit finite element formulation with embedded weak discontinuities for the treatment of shear localization under dynamic loading conditions. In this formulation, the onset of localization is detected via a material stability analysis suitable for rate-sensitive materials, and the continuity of propagating shear bands is ensured using a global tracking strategy involving a heat-conduction type boundary value problem, solved for a scalar level set function over the global domain of the problem. In addition, we propose a modified quadrature rule that is used to compute the contribution of an individual element to the global finite element arrays, taking into account the position of the embedded shear band within that element.},

  doi          = {10.1016/j.cma.2019.05.011},

  journal      = {Computer Methods in Applied Mechanics and Engineering},

  number       = C,

  volume       = 353,

  place        = {United States},

  year         = {Thu May 23 00:00:00 EDT 2019},

  month        = {Thu May 23 00:00:00 EDT 2019}

}

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