Discontinuous plastic flow coupled with strain induced fcc–bcc phase transformation at extremely low temperatures

Tabin, J.; Skoczen, B.; Bielski, J

doi:10.1016/j.mechmat.2018.10.007

Cited by 20 publications

(4 citation statements)

References 45 publications

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“…See Video V4 in the SM for more details is shown in Video V4 of the SM, and the corresponding serrated stress-strain relations, as in Fig. 6, are observed experimentally in mechanically-induced reconstructive transformations in crystals [53]. Our modelling predicts this to occur through strain intermittence as in Video V4, in close analogy to the strain-intermittence experimentally observed during mechanically-induced martensitic transformation in shape-memory alloys [54].…”

Section: (B)-(c)supporting

confidence: 78%

Ericksen-Landau Modular Strain Energies for Reconstructive Phase Transformations in 2D Crystals

Arbib

Biscari

Patriarca

et al. 2023

J Elast

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By using modular functions on the upper complex half-plane, we study a class of strain energies for crystalline materials whose global invariance originates from the full symmetry group of the underlying lattice. This follows Ericksen’s suggestion which aimed at extending the Landau-type theories to encompass the behavior of crystals undergoing structural phase transformation, with twinning, microstructure formation, and possibly associated plasticity effects. Here we investigate such Ericksen-Landau strain energies for the modelling of reconstructive transformations, focusing on the prototypical case of the square-hexagonal phase change in 2D crystals. We study the bifurcation and valley-floor network of these potentials, and use one in the simulation of a quasi-static shearing test. We observe typical effects associated with the micro-mechanics of phase transformation in crystals, in particular, the bursty progress of the structural phase change, characterized by intermittent stress-relaxation through microstructure formation, mediated, in this reconstructive case, by defect nucleation and movement in the lattice.

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Section: (B)-(c)supporting

confidence: 78%

Ericksen-Landau Modular Strain Energies for Reconstructive Phase Transformations in 2D Crystals

Arbib

Biscari

Patriarca

et al. 2023

J Elast

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“…In view of the particularly fast transformation process at extremely low temperatures (within Stage II), linear kinetics has been developed [ 38 ] in the following form:

where dot denotes the time derivative, or in a more general, multiaxial form:

…”

Section: Fem Analysis Of Fracture In Two-phase Continuummentioning

confidence: 99%

Phase Transformation in 316L Austenitic Steel Induced by Fracture at Cryogenic Temperatures: Experiment and Modelling

et al. 2020

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Investigations by electron backscatter diffraction (EBSD) and X-ray diffraction with the use of synchrotron radiation, as well as parallel extended finite element (XFEM) simulations, reveal the evolution of the 316L stainless steel microstructure in the vicinity of a macro-crack developing at the temperature of liquid helium (4.2 K). The fracture propagation induces a dynamic, highly localized phase transformation of face-centred cubic austenite into α’ martensite with a body-centred cubic structure. Synchrotron studies show that the texture of the primary phase controls the transition process. The austenite grains, tending to the stable Brass orientation, generate three mechanisms of the phase transformation. EBSD studies reveal that the secondary phase particles match the ordered austenitic matrix. Hence, interphase boundaries with the Pitsch disorientation are most often formed and α’ martensite undergoes intensive twinning. The XFEM simulations, based on the experimentally determined kinetics of the phase transformation and on the relevant constitutive relationships, reveal that the macro-crack propagates mainly in the martensitic phase. Synchrotron and EBSD studies confirm the almost 100% content of the secondary phase at the fracture surface. Moreover, they indicate that the boundaries formed then are largely random. As a result, the primary beneficial role of martensite as reinforcing particles is eliminated.

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“…This assumption is based on the observation that under cryogenic conditions and low strain rates, the heat released during the test (generated by the deformation or phase transformation) is rapidly removed by the cryogenic coolant. The reader is referred to the work of Tabin et al (2016Tabin et al ( , 2019, which shows local temperature rises in the form of 𝛿-Dirac function (temperature spikes) on tensile samples during testing at 4 K.…”

Section: Tensile Testmentioning

confidence: 99%

Modeling strain-induced martensitic transformation in austenitic stainless steels subjected to cryogenic temperatures using incremental mean-field homogenization schemes

Fernández-Pisón,

A. R.,

Vadillo

et al. 2023

Preprint

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Austenitic stainless steels are commonly used as structural materials in high-field superconducting magnet systems because they retain high strength, ductility, and toughness at very low temperatures, and they are paramagnetic or antiferromagnetic under the Néel temperature in their fully austenitic state. However, they are susceptible to strain-induced martensitic transformation, especially at cryogenic temperatures, which modifies the material properties, induces volume changes and additional strain hardening, and leads to ferromagnetic behavior. Thus, accurate predictions of the structural performance of these materials at very low temperatures are of great interest for the conception and design of these cryo-magnetic systems. In this paper, we propose an adequate constitutive model for the evolving bi-phase material-austenite and martensitebased on a Hill-type incremental formulation. Two different versions of the model are proposed based on the linear mean-field homogenization scheme: Mori-Tanaka and Self-Consistent. Moreover, a rate-independent nonlinear mixed kinematic-isotropic hardening law is used for each phase, and the martensitic transformation is described by the nonlinear kinetic law proposed by Olson and Cohen (1975). The constitutive model is implemented in ABAQUS/Standard through a UMAT user subroutine, for which a return mapping algorithm based on the implicit backward Euler integration scheme is used and a closed-form expression of the consistent Jacobian tensor is provided. The Mori-Tanaka and Self-Consistent approaches are evaluated in terms of their ability to describe the mechanical behavior of the bi-phase aggregate by comparing the predictions of the homogenization schemes with unit-cell finite element calculations with an explicit description of the martensite inclusions and the austenite matrix. The comparison is carried out for different stress states with controlled triaxiality and Lode parameter under monotonic and cycling loading, paying special attention to the evolution of the mechanical fields in each phase. The unit-cell calculations are performed for both constant and evolving martensite volume fractions. In addition, numerical simulations of tensile tests on samples subjected to different initial temperatures are carried out for the transforming bi-phase material and the results are compared to experimental data for AISI 304L and AISI 316LN steels.

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Discontinuous plastic flow coupled with strain induced fcc–bcc phase transformation at extremely low temperatures

Cited by 20 publications

References 45 publications

Ericksen-Landau Modular Strain Energies for Reconstructive Phase Transformations in 2D Crystals

Ericksen-Landau Modular Strain Energies for Reconstructive Phase Transformations in 2D Crystals

Phase Transformation in 316L Austenitic Steel Induced by Fracture at Cryogenic Temperatures: Experiment and Modelling

Modeling strain-induced martensitic transformation in austenitic stainless steels subjected to cryogenic temperatures using incremental mean-field homogenization schemes

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