A micromechanical study on the coupling effect between microplastic deformation and martensitic transformation

Marketz, Franz; Fischer, Franz Dieter

doi:10.1016/0927-0256(94)90146-5

Cited by 38 publications

(18 citation statements)

References 13 publications

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“…(11)- (13)), and different stress measures in the elasticity rule Eqs. (11)- (13). It also uses more complex expression for the mechanical driving force in the Ginzburg-Landau equation for PT and dislocations (Eq.…”

Section: Equilibrium Equationsmentioning

confidence: 99%

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Phase field simulations of plastic strain-induced phase transformations under high pressure and large shear

Javanbakht

Levitas

2016

Phys. Rev. B

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Pressure and shear strain-induced phase transformations (PTs) in a nanograined bicrystal at the evolving dislocations pile-up have been studied utilizing phase field approach (PFA).The complete system of PFA equations for coupled martensitic PT, dislocation evolution, and mechanics at large strains is presented and solved using finite element method (FEM). The nucleation pressure for high pressure phase (HPP) under hydrostatic condition near single dislocation was determined to be 15.9 GPa. Under shear, a dislocations pile-up that appears in the left grain creates strong stress concentration near its tip and significantly increases the local thermodynamic driving force for PT, which causes nucleation of HPP even at zero pressure. At pressures of 1.59 and 5 GPa and shear, a major part of a grain transforms to HPP.When dislocations are considered in the transforming grain as well, they relax stresses and lead to a slightly smaller stationary HPP region than without dislocations. However, they strongly suppress nucleation of HPP and require larger shear. Unexpectedly, the stationary HPP morphology is governed by the simplest thermodynamic equilibrium conditions, which do not contain contributions from plasticity and surface energy. These equilibrium conditions are fulfilled either for the majority of points of phase interfaces or (approximately) in terms of stresses averaged over the HPP region or for the entire grain, despite the strong heterogeneity of stress fields. The major part of the driving force for PT in the stationary state is due to deviatoric stresses rather than pressure. While the least number of dislocations in a pile-up to nucleate HPP linearly decreases with increasing the applied pressure, the least corresponding shear strain depends on pressure nonmonotonously. Surprisingly, the ratio of kinetic coefficients for PT and dislocations affect stationary solution and nanostructure. Consequently, there are multiple stationary solutions under the same applied load and PT and deformation processes are path dependent. With an increase in the size of the sample by a factor of two, 2 no effect was found on the average pressure and shear stress and HPP nanostructure, despite the different number of dislocations in a pile-up. Obtained results represent a nanoscale basis for understanding and description of PTs under compression and shear in rotational diamond anvil cell and high pressure torsion.

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Section: Equilibrium Equationsmentioning

confidence: 99%

“…At the microscale, PTs in elastoplastic materials were investigated in [3,11,12,13,14] using the principle of the minimum of Gibbs free energy (similar to PT in elastic materials) and sharp interfaces, while plasticity was described within continuum flow theory for an isotropic material.…”

Section: Introductionmentioning

confidence: 99%

Phase field simulations of plastic strain-induced phase transformations under high pressure and large shear

Javanbakht

Levitas

2016

Phys. Rev. B

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“…[18][19][20][21] Much effort has been spent on investigating the deformation behavior and failure mechanism of MP steels by analytical, experimental, and numerical methods. [22][23][24][25][26][27][28][29][30][31][32][33] The majority of these studies use either analytical approaches such as homogenization techniques or experimental measurements under simple loading conditions to predict and quantify the initial work-hardening behavior of various DP steels, while leaving their ultimate strength, ultimate ductility, and failure modes under different loading conditions unpredicted. Because the macroscopic behaviors of DP steels are attributable to their microstructures, the modeling of DP steels needs to be accomplished on the microstructure level.…”

Section: Introductionmentioning

confidence: 99%

Influence of Martensite Mechanical Properties on Failure Mode and Ductility of Dual-Phase Steels

Choi

Liu

et al. 2009

Metall Mater Trans A

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The effects of the mechanical properties of the martensite phase on the failure mode and ductility of dual-phase (DP) steels are investigated using a micromechanics-based finite element method. Actual microstructures of DP steels obtained from scanning electron microscopy (SEM) are used as representative volume elements (RVEs) in the finite element calculations. Ductile failure of the RVE is predicted as plastic strain localization during the deformation process. Systematic computations are conducted on the RVE to quantitatively evaluate the influence of the martensite mechanical properties and volume fraction on the macroscopic mechanical properties of DP steels. These properties include the ultimate tensile strength (UTS), ultimate ductility, and failure modes. The computational results show that, as the strength and volume fraction of the martensite phase increase, the UTS of DP steels increases, but the UTS strain and failure strain decrease. In addition, shear-dominant failure modes usually develop for DP steels with lower martensite strengths, whereas split failure modes typically develop for DP steels with higher martensite strengths. The methodology and data presented in this article can be used to tailor DP steel design for its intended purposes and desired properties.

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“…Even though analytic solutions exist for specific simplified situations, i.e., a two-phase structure with ellipsoidal inclusions in an infinite elastic matrix (as proposed by Eshelby [2] or Mori and Tanaka [3] ), the evaluation of the accommodation-energy terms for realistic geometry and realistic flow properties requires advanced numerical simulations. TIM VAN Marketz and Fischer [4] calculated the local-stress field and the associated plastic strain induced by the transformation of a martensite plate in a single-phase austenite matrix, using a two-dimensional finite-element model. The model consisted of a representative volume element containing about 1 pct of martensite, with periodic boundary conditions.…”

Section: Transformation-induced-plasticitymentioning

confidence: 99%

Three-dimensional computational-cell modeling of the micromechanics of the martensitic transformation in transformation-induced-plasticity-assisted multiphase steels

Rompaey

Lani

Blanpain

et al. 2006

Metall Mater Trans A

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A three-dimensional finite-element microstructural cell model involving an inclusion of retained austenite embedded within a ferrite grain, which is surrounded by a homogeneous matrix representing the behavior of a transformation-induced-plasticity (TRIP)-assisted multiphase steel, was developed in order to address the micromechanics of the martensitic transformation in small isolated austenite grains. The transformation of a single martensite plate is simulated after various amounts of prior plastic deformation under different in-plane loading conditions. The values of the mechanical driving force and of the elastic and plastic accommodation energies associated with the transformation are calculated as a function of the externally applied loading conditions. The mechanical driving force and the total accommodation energy are of the same order of magnitude. The mechanical driving force depends upon the stress state and is the highest for plane-strain conditions. The total accommodation energy is almost independent of the stress state. It is affected by the amount of plastic straining prior to transformation and is very much dependent on the level of the shear component of the transformation strain. The results of this study provide guidelines for the development of realistic stress-state-dependent transformation evolution laws for TRIP-assisted multiphase steels.

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A micromechanical study on the coupling effect between microplastic deformation and martensitic transformation

Cited by 38 publications

References 13 publications

Phase field simulations of plastic strain-induced phase transformations under high pressure and large shear

Phase field simulations of plastic strain-induced phase transformations under high pressure and large shear

Influence of Martensite Mechanical Properties on Failure Mode and Ductility of Dual-Phase Steels

Three-dimensional computational-cell modeling of the micromechanics of the martensitic transformation in transformation-induced-plasticity-assisted multiphase steels

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