Micromechanical modeling of martensitic transformation induced plasticity (TRIP) in austenitic single crystals

Cherkaoui, Mohammed; Berveiller, M.; Sabar, H.

doi:10.1016/s0749-6419(99)80000-x

Cited by 163 publications

(111 citation statements)

References 18 publications

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“…Allowance for the Bauschinger effect, kinematic hardening and crystal plasticity would be desirable in future improved models. It is dif®cult to reproduce the complex ®eld variations in simpli®ed models for the microscopic-to-macroscopi c transition (Cherkaoui et al 1998). However, the good agreement with macroscopic experiments obtained by Cherkaoui et al (1998) suggests that not all these microscopic details are important at the macrolevel.…”

Section: 3mentioning

confidence: 99%

“…. † (see the papers by Kondaurov and Nikitin (1986), Fischer et al (1994Fischer et al ( , 2000, Simonsson (1995), Fischer and Reisner (1997), Cherkaoui et al (1998), Cherkaoui and Berveiller (2000) (in most cases with Kˆconstant)). In papers by Roitburd and Temkin (1986), Kaganova andRoitburd (1987, 1989), interface equilibrium and propagation in elastoplastic materials for a particular geometry (sphere or ellipsoid) are considered in an alternative but simpli®ed way; see the analysis in the paper by Levitas (1998a).…”

Section: …7 †mentioning

confidence: 99%

“…To obtain a simpli®ed solution necessary for microscopic-to-macroscopi c transition, in the paper by Cherkaoui et al (1998) an assumption is used that the jump of plastic strain tensor across the interface is zero. As can be seen from a comparison of ®gures 3 and 4 as well as from ®gure 10, the jump in plastic strains is very signi®cant.…”

Section: Appearance and Growth Of A Martensitic Particle Inside The Amentioning

confidence: 99%

“…Despite the fact that point 5 is not at the interface, the same value of ® occurs at the interface; this follows from the distribution of ®, which is not presented here, and from the distribution of the accumulated plastic strain (®gure 4 (b)), which is homogeneous along the line between points 5 and 6. It is necessary to mention that the use of the assumption that the jump in plastic strain is 446 V. I. Levitas et al zero (which is not correct) in the interface propagation criterion X eˆK used in the paper by Cherkaoui et al (1998) (which is also not correct because plastic dissipation is not excluded) reduces the driving force X e to X X which was derived in the paper by Levitas (1998a) and used here, that is two errors compensate each other and the ®nal thermodynamic PT condition used in the paper by Cherkaoui et al (1998) is correct. During the transformation in the large unit I, the local plastic shear strains at points 1 and 2 (®gure 10) as well as the averaged plastic shear strain are very small; the accumulated plastic strain averaged over region I reaches 0:028 and does not change during the PT in regions II±V.…”

Section: Appearance and Growth Of A Martensitic Particle Inside The Amentioning

confidence: 99%

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Numerical modelling of martensitic growth in an elastoplastic material

Levitas

Idesman

Olson

et al. 2002

Philosophical Magazine A

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A ®nite-strain-continuum thermomechanical approach is applied to the problem of temperature-induced martensitic transformation in elastoplastic materials. The key issue is to determine the transformation-induced stress and plastic strain ®elds and their eOE ect on the thermodynamics and kinetics of transformation. The problems of appearance and growth of a temperatureinduced rectangular martensitic unit in an austenitic matrix in both bulk and near-free-surface environments are formulated, solved and analysed. Very complex and heterogeneous stress±strain ®elds in the austenite and martensite phases and their non-monotonic time variation are predicted. Plastic shear strain at some points can reach 60% and, after an elastic growth stage, change sign and vary by 40%. The interface velocity as a function of temperature and interface position is calculated. After the appearance of a martensitic particle, transformation work, which is the only variable part of the interface driving force, decreases by a factor of two during lengthening of the particle by 10%. The component of the athermal interfacial friction due to dislocation forest hardening increases signi®cantly as well, leading to interface deceleration and growth arrest. A free surface does not signi®cantly aOE ect the driving force until its distance from the moving interface falls below 0.75 times the particle thickness. Then the transformation work increases while the accumulated plastic strain and associated dislocation forest hardening decrease sharply. If the interface is not arrested at this point, it then accelerates to the free surface where an asymmetric plastic zone leaves`tent-shaped' surface relief. The motion of a small step at the martensitic plate interface is studied as well. In contrast with elastic growth, the thermodynamic conditions for lengthening and thickening are almost equivalent for plastic growth. The results obtained allowed us to address the following fundamental problems: ®rstly, the morphological transition from plate to lath martensite; secondly, the relation of thermally activated kinetics at the interface level to athermal kinetics at the macrolevel; thirdly, the concentration of

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Section: 3mentioning

confidence: 99%

Section: …7 †mentioning

confidence: 99%

Section: Appearance and Growth Of A Martensitic Particle Inside The Amentioning

confidence: 99%

Section: Appearance and Growth Of A Martensitic Particle Inside The Amentioning

confidence: 99%

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Numerical modelling of martensitic growth in an elastoplastic material

Levitas

Idesman

Olson

et al. 2002

Philosophical Magazine A

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“…Other authors following different approaches have proposed models to describe SIMT. Cherkaoui et al (1998) developed a constitutive equation for an austenitic single crystal undergoing transformation induced plasticity within a thermodynamic and micromechanical framework, following a classical scale transition method. This model has been used by Petit et al (2007) to simulate the deformation behavior of the stainless steel as well as the corresponding transformation kinetics and texture evolution.…”

Section: Introductionmentioning

confidence: 99%

A constitutive model for analyzing martensite formation in austenitic steels deforming at high strain rates

Zaera

Rodríguez-Martínez

Casado³

et al. 2012

International Journal of Plasticity

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a b s t r a c tThis study presents a constitutive model for steels exhibiting SIMT, based on previous sem inal works, and the corresponding methodology to estimate their parameters. The model includes temperature effects in the phase transformation kinetics, and in the softening of each solid phase through the use of a homogenization technique. The model was validated with experimental results of dynamic tensile tests on AISI 304 sheet steel specimens, and their predictions correlate well with the experimental evidence in terms of macroscopic stress strain curves and martensite volume fraction formed at high strain rates. The work shows the value of considering temperature effects in the modeling of metastable austen itic steels submitted to impact conditions. Regarding most of the works reported in the lit erature on SIMT, modeling of the martensitic transformation at high strain rates is the distinctive feature of the present paper.

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