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

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Bibliographic Details
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]
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Database:	Engineering Source

Description
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]
ISSN:	1738494X
DOI:	10.1007/s12206-024-0719-3