A monolithically implicit time-integration approach for a dislocation-density-based b.c.c. single crystal plasticity model.

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Title: A monolithically implicit time-integration approach for a dislocation-density-based b.c.c. single crystal plasticity model.
Authors: Ha, Sangyul1 (AUTHOR), Sung, Woo Seok2 (AUTHOR), Lee, Kyungjun3 (AUTHOR), Sung, Hyokyung4 (AUTHOR) hyokyung@kookmin.ac.kr, Son, Seong-Ho5 (AUTHOR) son@sch.ac.kr
Source: Journal of Mechanical Science & Technology. Aug2024, Vol. 38 Issue 8, p4221-4232. 12p.
Subjects: Body centered cubic structure, Crystal models, Single crystals, Dislocation density, Linear momentum
Abstract: This paper presents a novel time-integration algorithm for dislocation-densitybased crystal plasticity models specific to body-centered cubic (b.c.c.) single crystals. The approach effectively integrates salient features of b.c.c. single crystals, including orientation- and temperature-dependent yield strength and notable non-Schmid effects, into the constitutive model. The algorithm incorporates the Newton-Raphson method in a unified iterative loop with a new convergence criterion that effectively addresses the computational complexities associated with the exponential increase in dislocation densities. Furthermore, a consistent tangent modulus has been derived, ensuring compatibility with the balance of linear momentum for displacement correction. This algorithm has been implemented as a user-subroutine UMAT within the finite element software Abaqus. Validation of the computational approach was conducted through comparisons with experimental data on α-iron single crystals. Moreover, the impact of active slip systems on the texture development of b.c.c. polycrystalline materials has been investigated using the proposed computational framework. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Mechanical Science & Technology is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: A monolithically implicit time-integration approach for a dislocation-density-based b.c.c. single crystal plasticity model.
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Mechanical+Science+%26+Technology%22">Journal of Mechanical Science & Technology</searchLink>. Aug2024, Vol. 38 Issue 8, p4221-4232. 12p.
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  Data: <searchLink fieldCode="DE" term="%22Body+centered+cubic+structure%22">Body centered cubic structure</searchLink><br /><searchLink fieldCode="DE" term="%22Crystal+models%22">Crystal models</searchLink><br /><searchLink fieldCode="DE" term="%22Single+crystals%22">Single crystals</searchLink><br /><searchLink fieldCode="DE" term="%22Dislocation+density%22">Dislocation density</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+momentum%22">Linear momentum</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper presents a novel time-integration algorithm for dislocation-densitybased crystal plasticity models specific to body-centered cubic (b.c.c.) single crystals. The approach effectively integrates salient features of b.c.c. single crystals, including orientation- and temperature-dependent yield strength and notable non-Schmid effects, into the constitutive model. The algorithm incorporates the Newton-Raphson method in a unified iterative loop with a new convergence criterion that effectively addresses the computational complexities associated with the exponential increase in dislocation densities. Furthermore, a consistent tangent modulus has been derived, ensuring compatibility with the balance of linear momentum for displacement correction. This algorithm has been implemented as a user-subroutine UMAT within the finite element software Abaqus. Validation of the computational approach was conducted through comparisons with experimental data on α-iron single crystals. Moreover, the impact of active slip systems on the texture development of b.c.c. polycrystalline materials has been investigated using the proposed computational framework. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Mechanical Science & Technology is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1007/s12206-024-0719-3
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      – Code: eng
        Text: English
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        PageCount: 12
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    Subjects:
      – SubjectFull: Body centered cubic structure
        Type: general
      – SubjectFull: Crystal models
        Type: general
      – SubjectFull: Single crystals
        Type: general
      – SubjectFull: Dislocation density
        Type: general
      – SubjectFull: Linear momentum
        Type: general
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      – TitleFull: A monolithically implicit time-integration approach for a dislocation-density-based b.c.c. single crystal plasticity model.
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            NameFull: Ha, Sangyul
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            NameFull: Sung, Woo Seok
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            NameFull: Lee, Kyungjun
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            NameFull: Sung, Hyokyung
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            NameFull: Son, Seong-Ho
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            – D: 01
              M: 08
              Text: Aug2024
              Type: published
              Y: 2024
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