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Title: A single crystal plasticity finite element formulation with embedded deformation twins

Abstract

Deformation twinning is an important plastic deformation mechanism in some polycrystalline metals such as titanium and magnesium. In this paper, we present a novel crystal plasticity finite element framework that accounts for deformation twinning explicitly, in addition to crystallographic slip. Within this computational framework, deformation twins are treated as weak discontinuities embedded within individual finite elements, such that a jump in the velocity gradient field is introduced (via the discretized gradient operator) between the twinned and untwinned crystalline regions, taking into account compatibility and traction continuity conditions at the interface between these two regions. The deformation gradient is multiplicatively split into elastic and plastic parts in the untwinned region, as is customary in finite-deformation crystal plasticity formulations. A different multiplicative decomposition of the deformation gradient into elastic, plastic (slip), and twinning parts is adopted in the twinned region, allowing deformation twinning to be accounted for as an additional mode of plastic deformation. Here, a stochastic model is used to predict twin nucleation at grain boundaries, and the evolution of the length and thickness of the twinned region under subsequent deformation is taken into account.

Authors:
 [1]; ORCiD logo [1];  [2];  [3]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Univ. of Wisconsin, Madison, WI (United States)
  3. Univ. of California, Santa Barbara, CA (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1569617
Alternate Identifier(s):
OSTI ID: 1564553
Report Number(s):
LA-UR-19-22568
Journal ID: ISSN 0022-5096
Grant/Contract Number:  
89233218CNA000001; 20150431ER
Resource Type:
Accepted Manuscript
Journal Name:
Journal of the Mechanics and Physics of Solids
Additional Journal Information:
Journal Volume: 133; Journal Issue: C; Journal ID: ISSN 0022-5096
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
Deformation twinning; Embedded weak discontinuity; Single-crystal elasto-viscoplasticity

Citation Formats

Jin, Tao, Mourad, Hashem Mohamed, Bronkhorst, Curt A., and Beyerlein, Irene J. A single crystal plasticity finite element formulation with embedded deformation twins. United States: N. p., 2019. Web. doi:10.1016/j.jmps.2019.103723.
Jin, Tao, Mourad, Hashem Mohamed, Bronkhorst, Curt A., & Beyerlein, Irene J. A single crystal plasticity finite element formulation with embedded deformation twins. United States. doi:10.1016/j.jmps.2019.103723.
Jin, Tao, Mourad, Hashem Mohamed, Bronkhorst, Curt A., and Beyerlein, Irene J. Sat . "A single crystal plasticity finite element formulation with embedded deformation twins". United States. doi:10.1016/j.jmps.2019.103723.
@article{osti_1569617,
title = {A single crystal plasticity finite element formulation with embedded deformation twins},
author = {Jin, Tao and Mourad, Hashem Mohamed and Bronkhorst, Curt A. and Beyerlein, Irene J.},
abstractNote = {Deformation twinning is an important plastic deformation mechanism in some polycrystalline metals such as titanium and magnesium. In this paper, we present a novel crystal plasticity finite element framework that accounts for deformation twinning explicitly, in addition to crystallographic slip. Within this computational framework, deformation twins are treated as weak discontinuities embedded within individual finite elements, such that a jump in the velocity gradient field is introduced (via the discretized gradient operator) between the twinned and untwinned crystalline regions, taking into account compatibility and traction continuity conditions at the interface between these two regions. The deformation gradient is multiplicatively split into elastic and plastic parts in the untwinned region, as is customary in finite-deformation crystal plasticity formulations. A different multiplicative decomposition of the deformation gradient into elastic, plastic (slip), and twinning parts is adopted in the twinned region, allowing deformation twinning to be accounted for as an additional mode of plastic deformation. Here, a stochastic model is used to predict twin nucleation at grain boundaries, and the evolution of the length and thickness of the twinned region under subsequent deformation is taken into account.},
doi = {10.1016/j.jmps.2019.103723},
journal = {Journal of the Mechanics and Physics of Solids},
number = C,
volume = 133,
place = {United States},
year = {2019},
month = {9}
}

Journal Article:
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This content will become publicly available on September 14, 2020
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