Modelling of the effects of grain orientation on transformation-induced plasticity in multiphase carbon steels

Tjahjanto, D. D.; Turteltaub, Sergio; Suiker, A.S.J.; Zwaag, van der S

doi:10.1088/0965-0393/14/4/006

Cited by 60 publications

(39 citation statements)

References 40 publications

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“…Hardening law well as a discussion on the choice of the contributing slip systems for the BCC ferrite lattice can be found in [29]. The elastic properties and the calibration of the model parameters for the plastic behavior are similar to those reported in [29].…”

Section: Stress-strain Response Of Trip Steel Microstructuressupporting

confidence: 55%

“…The elastic properties and the calibration of the model parameters for the plastic behavior are similar to those reported in [29]. Nevertheless, some of the values shown in Table 2 for the hardening law and the plastic kinetic law are different from those given in [29] since the calibration procedure used here is based on a plastic driving force that includes, in addition to the Schmid stress, contributions from the thermal and defect energies (which were not taken into account in [29]). In that sense, the model parameters related to the thermal driving force and the defect energy are required for the calibration.…”

Section: Stress-strain Response Of Trip Steel Microstructuresmentioning

confidence: 63%

“…This value is assumed to be representative for a polycrystalline sample and is within the experimental range of 25-50% measured for polycrystalline TRIP steel samples at a similar axial strain level [17]. In comparison, the elastic transformation model presented in [28][29][30][31], which ignores plastic deformations in the austenitic phase, predicts a near-complete transformation for comparable samples at about 0.1 axial strain. This illustrates the importance of accounting for plastic deformations in the austenite in order to achieve more accurate predictions of the transformation evolution.…”

Section: Stress-strain Response Of Trip Steel Microstructuresmentioning

confidence: 91%

“…cr , the transformation process in system α is activated and the growth rate of the volume fraction,ξ (α) , is related to the driving force for transformation f (α) through the following kinetic relation (see also [28][29][30][31]):…”

Section: Specification Of the Helmholtz Energy Densitymentioning

confidence: 99%

“…In the present study, the anisotropic elastoplastic response of the ferritic grains will be described by a crystal plasticity model similar to the one used for the FCC austenite. The present formulation is an extension of the model for BCC ferrite presented in [29], in the sense that the driving force here includes, in addition to the resolved stress, thermal and defect energy contributions.…”

Section: Stress-strain Response Of Trip Steel Microstructuresmentioning

confidence: 99%

See 4 more Smart Citations

Crystallographically based model for transformation-induced plasticity in multiphase carbon steels

Tjahjanto

Turteltaub

Suiker

2007

Continuum Mech. Thermodyn.

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The microstructure of multiphase steels assisted by transformation-induced plasticity consists of grains of retained austenite embedded in a ferrite-based matrix. Upon mechanical loading, retained austenite may transform into martensite, as a result of which plastic deformations are induced in the surrounding phases, i.e., the ferrite-based matrix and the untransformed austenite. In the present work, a crystallographically based model is developed to describe the elastoplastic transformation process in the austenitic region. The model is formulated within a large-deformation framework where the transformation kinematics is connected to the crystallographic theory of martensitic transformations. The effective elastic stiffness accounts for anisotropy arising from crystallographic orientations as well as for dilation effects due to the transformation. The transformation model is coupled to a single-crystal plasticity model for a face-centered cubic lattice to quantify the plastic deformations in the untransformed austenite. The driving forces for transformation and plasticity are derived from thermodynamical principles and include lower-length-scale contributions from surface and defect energies associated to, respectively, habit planes and dislocations. In order to demonstrate the essential features of the model, simulations are carried out for austenitic single crystals subjected to basic loading modes. To describe the elastoplastic response of the ferritic matrix in a multiphase steel, a crystal plasticity model for a body-centered cubic lattice is adopted. This model includes the effect of nonglide stresses in order to reproduce the asymmetry of slips in the twinning and antitwinning directions that characterizes the behavior of this type of lattices. The models for austenite and ferrite are combined to simulate the microstructural behavior of a multiphase steel. The results of the simulations show the relevance of including plastic deformations in the austenite in order to predict a more realistic evolution of the transformation process.

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Section: Stress-strain Response Of Trip Steel Microstructuressupporting

confidence: 55%

Section: Stress-strain Response Of Trip Steel Microstructuresmentioning

confidence: 63%

Section: Stress-strain Response Of Trip Steel Microstructuresmentioning

confidence: 91%

Section: Specification Of the Helmholtz Energy Densitymentioning

confidence: 99%

Section: Stress-strain Response Of Trip Steel Microstructuresmentioning

confidence: 99%

See 3 more Smart Citations

Crystallographically based model for transformation-induced plasticity in multiphase carbon steels

Tjahjanto

Turteltaub

Suiker

2007

Continuum Mech. Thermodyn.

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A Micromechanical Study of the Deformation Behavior of TRIP‐Assisted Multiphase Steels as a Function of the Microstructural Parameters of the Retained Austenite

et al. 2009

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Steels assisted by transformation-induced plasticity (TRIP steels) are a class of multiphase carbon steels that have interesting mechanical characteristics due to the presence of metastable grains of austenite in their microstructure at room temperature (retained austenite). Upon application of thermal and/or mechanical loading, the grains of retained austenite may transform into martensite, which strongly influences the overall mechanical performance of the steels. Consequently, the stability of retained austenite against transformation is considered to be an important factor in the mechanical performance of this class of steels. Experimental investigations show that the stability of retained austenite is influenced by various microstructural parameters, such as the initial phase volume fractions (phase morphology), [1][2][3] the austenite carbon concentration [1,[4][5][6][7] and the austenitic grain size. [8][9][10] However, in most cases it is difficult to directly measure the individual contributions of these parameters to the stability of retained austenite since, during the processing of experimental samples, microstructural parameters typically cannot be varied independently.In the present work, the overall mechanical behavior of a discrete aggregate of ferritic and austenitic grains, representative of a microstructure of TRIP-assisted steels, is simulated numerically. The goal is to elucidate by means of a parametric study the specific effect of each microstructural parameter on the effective mechanical response, i.e., the effective stressstrain response and the evolution of martensitic transformation. Previous work by the authors was concerned with analyzing the influence of the initial phase volume fractions and carbon concentration [11] and grain size [12] for multiphase TRIP steels with high-yield austenitic phases (which do not deform plastically prior to transformation). In the present analysis, employing the constitutive model presented in Tjahjanto et al., [13] the influence of possible plastic deformations in austenite prior to transformation is taken into account.The results provide important information for further development of the mechanical performance of TRIP steels as well as for the optimization of TRIP steel processing routes. Micromechanical Models, Sample Geometries, and Boundary ConditionsThe type of multiphase steels considered in the present analysis consist of isolated grains of retained austenite embedded in a ferritic matrix. For simplicity, the behavior of the bainitic phase is combined with the effective behavior of the matrix. The constitutive model presented in Tjahjanto et al. [13] is applied to simulate the elastic, plastic, and transformation mechanisms in the austenitic grains and the elasto-plastic response of the ferritic matrix. This model combines the transformation model of Turteltaub and Suiker [14][15][16] [used to simulate the transformation of facecentered cubic (FCC) austenite into body-centered tetragonal (BCT) martensite] with a crystal plasticity model (used...

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A Semi‐parametric Model for Microstructure Analysis of Advanced High‐strength Dual‐phase Steels Considering Sample Variation

Zhang

Yang

2016

Quality & Reliability Eng

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Microstructure analysis of advanced high-strength dual-phase steels has attracted increasing attention in recent years, as the microscopic properties of steels significantly affect their material properties and behaviors. As a result, the steel microstructure plays an important role of product quality. However, most of the existing methods only consider a single microstructure sample, while the unit-to-unit variability among different samples is ignored. As a result, they cannot be applied for steel quality control. In this study, we propose a semi-parametric microstructure modeling method that can capture the variation across different microstructure samples. The proposed model can be used for both isotropic materials and anisotropic materials in which the microstructure properties in the vertical direction and those in the horizontal direction are different. The proposed model is applied for both quality control of dual-phase steels and microstructure reconstruction without having to conduct physical experiments. A case study is conducted by applying the developed methods to advanced high-strength steels.

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Modelling of the effects of grain orientation on transformation-induced plasticity in multiphase carbon steels

Cited by 60 publications

References 40 publications

Crystallographically based model for transformation-induced plasticity in multiphase carbon steels

Crystallographically based model for transformation-induced plasticity in multiphase carbon steels

A Micromechanical Study of the Deformation Behavior of TRIP‐Assisted Multiphase Steels as a Function of the Microstructural Parameters of the Retained Austenite

A Semi‐parametric Model for Microstructure Analysis of Advanced High‐strength Dual‐phase Steels Considering Sample Variation

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