Modeling of twinning-induced plasticity using crystal plasticity and thermodynamic framework

Khan, Rashid; Alfozan, Adel

doi:10.1007/s00707-019-02419-6

Cited by 8 publications

(16 citation statements)

References 51 publications

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“…In this part, constitutive equations of the model developed by [53] are presented, where twinning-induced plasticity is incorporated with slip-based crystal plasticity theory. The constitutive equations include the formulations of: (i) multiplicative decomposition of the total deformation gradient into elastic and plastic parts, (ii) driving potentials for slip and twining, (iii) dissipated energy as a result of plastic flow, (iv) recovered energy due to elastic deformation, (v) plastic flow rule due to slip and twinning, and (vi) hardening law.…”

Section: Constitutive Modelingmentioning

confidence: 99%

“…In all successive sections of mathematical modeling, only the final equations of each constitutive formulation are presented. For detailed derivations, the readers are advised to refer to [53,54].…”

Section: Kinematic-based Modelingmentioning

confidence: 99%

“…In the micromechanical model presented by [53], Helmholtz free energy (HFE) is evaluated through an additive decomposition of four forms of energies as:…”

Section: Helmholtz Free Energy Formulationmentioning

confidence: 99%

“…In particular, Madivala et al [52] have investigated the strain-hardening and fracture behavior of high-manganese austenitic TWIP steel at temperatures ranging from 123 K to 773 K. It was observed that twinning becomes the dominant deformation mechanism at 298 K, and the twin fraction increases with temperature until a transition temperature of about 473 K. Beyond this, dislocation glide alone becomes dominant, instead of twinning and dislocation glide. Recently, Khan et al [53] presented a micromechanical model of twinning-induced plasticity using crystal plasticity and thermodynamic frameworks. The deformation gradients resulting from crystallographic slip and mechanical twinning are modeled through the kinematic decomposition of the total deformation gradient.…”

Section: Introductionmentioning

confidence: 99%

“…The current work is an extension of the micromechanical model presented by Khan et al [53], where a novel numerical integration scheme is developed. In this, firstly, the constitutive equations of the micromechanical model of twinning-induced plasticity are presented.…”

Section: Introductionmentioning

confidence: 99%

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Numerical Modeling and Simulations of Twinning-Induced Plasticity Using Crystal Plasticity Finite Element Method

et al. 2022

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In the current work, a fully implicit numerical integration scheme is developed for modeling twinning-induced plasticity using a crystal plasticity framework. Firstly, the constitutive formulation of a twin-based micromechanical model is presented to estimate the deformation behavior of steels with low stacking fault energy. Secondly, a numerical integration scheme is developed for discretizing constitutive equations through a fully implicit time integration scheme using the backward Euler method. A time sub-stepping algorithm and the two-norm convergence criterion are used to regulate time step size and stopping criterion. Afterward, a numerical scheme is implemented in finite element software ABAQUS as a user-defined material subroutine. Finally, finite element simulations are executed for observing the validity, performance, and limitations of the numerical scheme. It is observed that the simulation results are in good agreement with the experimental observations with a maximum error of 16% in the case of equivalent stress and strain. It is also found that the developed model is able to estimate well the deformation behavior, magnitude of slip and twin shear strains, and twin volume fraction of three different TWIP steels where the material point is subjected to tension and compression.

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Section: Constitutive Modelingmentioning

confidence: 99%

Section: Kinematic-based Modelingmentioning

confidence: 99%

“…In the micromechanical model presented by [53], Helmholtz free energy (HFE) is evaluated through an additive decomposition of four forms of energies as:…”

Section: Helmholtz Free Energy Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations