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Title: Finite element formulation with embedded weak discontinuities for strain localization under dynamic conditions

Abstract

Here, we present an explicit finite element formulation designed for the treatment of strain localization under highly dynamic conditions. We also used a material stability analysis to detect the onset of localization behavior. Finite elements with embedded weak discontinuities are employed with the aim of representing subsequent localized deformation accurately. The formulation and its algorithmic implementation are described in detail. Numerical results are presented to illustrate the usefulness of this computational framework in the treatment of strain localization under highly dynamic conditions, and to examine its performance characteristics in the context of two-dimensional plane-strain problems.

Authors:
 [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1407880
Report Number(s):
LA-UR-17-20920
Journal ID: ISSN 0178-7675; TRN: US1702926
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Computational Mechanics
Additional Journal Information:
Journal Volume: 61; Journal Issue: 1-2; Journal ID: ISSN 0178-7675
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 36 MATERIALS SCIENCE; strain localization; adiabatic shear banding; finite element method; enhanced strain methods; explicit dynamic analysis; viscoplasticity; dynamic recrystallization

Citation Formats

Jin, Tao, Mourad, Hashem M., Bronkhorst, Curt A., and Livescu, Veronica. Finite element formulation with embedded weak discontinuities for strain localization under dynamic conditions. United States: N. p., 2017. Web. doi:10.1007/s00466-017-1470-8.
Jin, Tao, Mourad, Hashem M., Bronkhorst, Curt A., & Livescu, Veronica. Finite element formulation with embedded weak discontinuities for strain localization under dynamic conditions. United States. doi:10.1007/s00466-017-1470-8.
Jin, Tao, Mourad, Hashem M., Bronkhorst, Curt A., and Livescu, Veronica. Wed . "Finite element formulation with embedded weak discontinuities for strain localization under dynamic conditions". United States. doi:10.1007/s00466-017-1470-8. https://www.osti.gov/servlets/purl/1407880.
@article{osti_1407880,
title = {Finite element formulation with embedded weak discontinuities for strain localization under dynamic conditions},
author = {Jin, Tao and Mourad, Hashem M. and Bronkhorst, Curt A. and Livescu, Veronica},
abstractNote = {Here, we present an explicit finite element formulation designed for the treatment of strain localization under highly dynamic conditions. We also used a material stability analysis to detect the onset of localization behavior. Finite elements with embedded weak discontinuities are employed with the aim of representing subsequent localized deformation accurately. The formulation and its algorithmic implementation are described in detail. Numerical results are presented to illustrate the usefulness of this computational framework in the treatment of strain localization under highly dynamic conditions, and to examine its performance characteristics in the context of two-dimensional plane-strain problems.},
doi = {10.1007/s00466-017-1470-8},
journal = {Computational Mechanics},
number = 1-2,
volume = 61,
place = {United States},
year = {2017},
month = {9}
}

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