An Asymmetric Elasto-Plastic Phase-Field Model for Shape Memory Effect, Pseudoelasticity and Thermomechanical Training in Polycrystalline Shape Memory Alloys

Cissé, Cheikh; Asle Zaeem, Mohsen

doi:10.1016/j.actamat.2020.10.034

Title: An Asymmetric Elasto-Plastic Phase-Field Model for Shape Memory Effect, Pseudoelasticity and Thermomechanical Training in Polycrystalline Shape Memory Alloys

Abstract

We propose an elasto-plastic phase-field model (PFM) to conduct the first microscopic computational study of shape memory effect (SME), pseudoelasticity, stress assisted two-way memory effect (SATWME), and thermomechanical training of CuAlBe shape memory alloy (SMA). This non-isothermal PFM model considers the effects of temperature dependent properties, latent heat, grain boundaries, and asymmetric transformation and plasticity. PFM simulations demonstrate the capacity of our model to capture the thermomechanical and purely mechanical shape recovery in the SMA. When considering transforming grain boundaries, grain refinement generates a higher transformation stress, a steeper transformation hardening, and smaller hysteresis loops for both SME and pseudoelasticity. The results also point out slightly higher transformation stress when geometrical grain boundaries are used. The simulations of SATWME highlight an augmentation of the residual martensite as the hold stress increases, which is consistent with experimental observations. This is the first PFM that can mimic the thermal training within several SATWME cycles, showing an asymptotic increase of plastic strain and the related retained transformation strain until the fourth cycle, and their stabilization thereafter. The activation of plasticity occurs always after initiation of phase transformation. Although plasticity results in more stress relaxation, it deteriorates the shape recovery for both SME andmore »« less

Authors:

Cissé, Cheikh;

Publication Date:: Tue Dec 01 00:00:00 EST 2020

Research Org.:: Colorado School of Mines, Golden, CO (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1771193

Alternate Identifier(s):: OSTI ID: 1853007

Grant/Contract Number:: SC0019279

Resource Type:: Published Article

Journal Name:: Acta Materialia

Additional Journal Information:: Journal Name: Acta Materialia Journal Volume: 201 Journal Issue: C; Journal ID: ISSN 1359-6454

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; phase-field modeling; CuAlBe shape memory alloy; plasticity; asymmetry; cyclic deformation

Citation Formats


                    Cissé, Cheikh, and Asle Zaeem, Mohsen. An Asymmetric Elasto-Plastic Phase-Field Model for Shape Memory Effect, Pseudoelasticity and Thermomechanical Training in Polycrystalline Shape Memory Alloys.  United States: N. p., 2020. 
Web.  doi:10.1016/j.actamat.2020.10.034.

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                    Cissé, Cheikh, & Asle Zaeem, Mohsen. An Asymmetric Elasto-Plastic Phase-Field Model for Shape Memory Effect, Pseudoelasticity and Thermomechanical Training in Polycrystalline Shape Memory Alloys.  United States.  https://doi.org/10.1016/j.actamat.2020.10.034

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                    Cissé, Cheikh, and Asle Zaeem, Mohsen. Tue .  
"An Asymmetric Elasto-Plastic Phase-Field Model for Shape Memory Effect, Pseudoelasticity and Thermomechanical Training in Polycrystalline Shape Memory Alloys".  United States.  https://doi.org/10.1016/j.actamat.2020.10.034.

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@article{osti_1771193,

  title        = {An Asymmetric Elasto-Plastic Phase-Field Model for Shape Memory Effect, Pseudoelasticity and Thermomechanical Training in Polycrystalline Shape Memory Alloys},

  author       = {Cissé, Cheikh and Asle Zaeem, Mohsen},

  abstractNote = {We propose an elasto-plastic phase-field model (PFM) to conduct the first microscopic computational study of shape memory effect (SME), pseudoelasticity, stress assisted two-way memory effect (SATWME), and thermomechanical training of CuAlBe shape memory alloy (SMA). This non-isothermal PFM model considers the effects of temperature dependent properties, latent heat, grain boundaries, and asymmetric transformation and plasticity. PFM simulations demonstrate the capacity of our model to capture the thermomechanical and purely mechanical shape recovery in the SMA. When considering transforming grain boundaries, grain refinement generates a higher transformation stress, a steeper transformation hardening, and smaller hysteresis loops for both SME and pseudoelasticity. The results also point out slightly higher transformation stress when geometrical grain boundaries are used. The simulations of SATWME highlight an augmentation of the residual martensite as the hold stress increases, which is consistent with experimental observations. This is the first PFM that can mimic the thermal training within several SATWME cycles, showing an asymptotic increase of plastic strain and the related retained transformation strain until the fourth cycle, and their stabilization thereafter. The activation of plasticity occurs always after initiation of phase transformation. Although plasticity results in more stress relaxation, it deteriorates the shape recovery for both SME and pseudoelasticity by hindering the reverse transformation. Comparison between tension and compression demonstrates the capacity of this PFM to account for, for the first time, the nonsymmetrical transformation and plastic responses of SMAs.},

  doi          = {10.1016/j.actamat.2020.10.034},

  journal      = {Acta Materialia},

  number       = C,

  volume       = 201,

  place        = {United States},

  year         = {Tue Dec 01 00:00:00 EST 2020},

  month        = {Tue Dec 01 00:00:00 EST 2020}

}

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Thermal analysis of Cu-14.82 wt% Al-0.4 wt% Be shape memory alloy
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Aksu Canbay, Canan; Aydoğdu, Ayşe
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Tůma, K.; Stupkiewicz, S.; Petryk, H.
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Kružík, Martin; Mielke, Alexander; Roubíček, Tomáš
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Sˇittner, P.; Nova´k, V.
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SHAPE MEMORY EFFECT IN Cu-Al-Be TERNARY ALLOYS
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Viet, Nguyen Van; Zaki, Wael; Moumni, Ziad
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Araki, Yoshikazu; Maekawa, Nao; Omori, Toshihiro
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Hou, Huilong; Simsek, Emrah; Ma, Tao
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Tůma, K.; Stupkiewicz, S.; Petryk, H.
Journal of the Mechanics and Physics of Solids, Vol. 114
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A 3D super-elastic model for shape memory alloys taking into account progressive strain under cyclic loadings
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Saint-Sulpice, Luc; Chirani, Shabnam Arbab; Calloch, Sylvain
Mechanics of Materials, Vol. 41, Issue 1
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Elastoplastic phase field model for microstructure evolution
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Guo, X. H.; Shi, San-Qiang; Ma, X. Q.
Applied Physics Letters, Vol. 87, Issue 22
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Raniecki, B.; Lexcellent, Ch.
European Journal of Mechanics - A/Solids, Vol. 17, Issue 2
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Modelling of martensitic transformation and plastic slip effects on the thermo-mechanical behaviour of Fe-based shape memory alloys
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Jemal, Fatma; Bouraoui, Tarak; Ben Zineb, Tarak
Mechanics of Materials, Vol. 41, Issue 7
DOI: 10.1016/j.mechmat.2008.11.007

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Title: An Asymmetric Elasto-Plastic Phase-Field Model for Shape Memory Effect, Pseudoelasticity and Thermomechanical Training in Polycrystalline Shape Memory Alloys

Abstract

Citation Formats

A comprehensive energy approach to predict fatigue life in CuAlBe shape memory alloy journal, December 2014

Effect of martensite embryo potency on the martensitic transformations in steels—A 3D phase-field study journal, November 2013

Analytical model for the torsional response of superelastic shape memory alloy circular sections subjected to a loading-unloading cycle journal, January 2019

Microscale phase field modeling of the martensitic transformation during cyclic loading of NiTi single crystal journal, August 2018

Multifunctional materials: engineering applications and processing challenges journal, December 2009

A phase-field model for non-isothermal phase transformation and plasticity in polycrystalline yttria-stabilized tetragonal zirconia journal, June 2020

Phase field study of the microstructure evolution and thermomechanical properties of polycrystalline shape memory alloys: Grain size effect and rate effect journal, April 2018

A review of computational modeling techniques in study and design of shape memory ceramics journal, April 2019

Shape memory effect and pseudoelasticity behavior in tetragonal zirconia polycrystals: A phase field study journal, September 2014

Thermomechanical cyclic behavior modeling of Cu-Al-Be SMA materials and structures journal, May 2012

Phase field modeling for cyclic phase transition of NiTi shape memory alloy single crystal with super-elasticity journal, February 2018

A three-dimensional non-isothermal Ginzburg–Landau phase-field model for shape memory alloys journal, November 2014

Hysteresis phenomena in shape memory alloys by non-isothermal Ginzburg–Landau models journal, September 2013

Micromechanical modelling of a CuAlNi shape memory alloy behaviour journal, July 2004

A non-isothermal phase field study of the shape memory effect and pseudoelasticity of polycrystalline shape memory alloys journal, September 2019

A simplified micromechanical constitutive law adapted to the design of shape memory applications by finite element methods journal, May 2008

Measurement of local strain heterogeneities in superelastic shape memory alloys by digital image correlation journal, January 2010

Describing internal subloops due to incomplete phase transformations in shape memory alloys journal, June 2005

Phase field modeling of stress-induced tetragonal-to-monoclinic transformation in zirconia and its effect on transformation toughening journal, February 2014

Phase-field modeling of displacive phase transformations in elastically anisotropic and inhomogeneous polycrystals journal, September 2014

Phase field study of the grain size and temperature dependent mechanical responses of tetragonal zirconia polycrystals: A discussion of tension-compression asymmetry journal, February 2020

Phase-field study of size-dependent morphology of austenite–twinned martensite interface in CuAlNi journal, October 2016

Phase field modeling of the tetragonal-to-monoclinic phase transformation in zirconia journal, August 2013

A finite-strain thermomechanical behavior model for iron-based shape memory alloys accounting for coupling between phase transformation and plastic slip journal, January 2020

Three-dimensional, non-isothermal phase-field modeling of thermally and stress-induced martensitic transformations in shape memory alloys journal, March 2017

Phase-field modelling of martensitic transformation: the effects of grain and twin boundaries journal, October 2013

Grain size and pseudoelastic behaviour of a Cu–Al–Be alloy journal, February 2008

Thermodynamical model of cyclic behaviour of TiNi and CuZnAl shape memory alloys under isothermal undulated tensile tests journal, September 1996

Phase-field modeling of austenite grain size effect on martensitic transformation in stainless steels journal, November 2018

Superelastic behavior and damping capacity of CuAlBe alloys journal, March 2006

A review of constitutive models and modeling techniques for shape memory alloys journal, January 2016

Elaboration and characterization of new low temperature shape memory CuAlBe alloys journal, September 1993

A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening journal, June 1979

Phase-field simulations of thermomechanical behavior of MnNi shape memory alloys using finite element method journal, November 2017

Three-dimensional field model and computer modeling of martensitic transformations journal, February 1997

Stress-induced martensitic transformation of a NiTi alloy in isothermal shear, tension and compression journal, September 1998

A general macroscopic description of the thermomechanical behavior of shape memory alloys journal, June 1996

Orthorhombic lattice deformation of CuAlBe shape-memory single crystals under cyclic strain journal, November 2001

Shape memory alloy CuAlBe strands subjected to cyclic axial loads journal, October 2011

A phase-field model for incoherent martensitic transformations including plastic accommodation processes in the austenite journal, October 2011

Elastoplastic phase-field simulation of martensitic transformation with plastic deformation in polycrystal journal, February 2010

Shape memory alloy nanostructures with coupled dynamic thermo-mechanical effects journal, July 2015

A 3D model of the cyclic thermomechanical behavior of shape memory alloys journal, November 2007

Evaluation of grain refiners influence on the mechanical properties in a CuAlBe shape memory alloy by ultrasonic and mechanical tensile testing journal, August 2010

Elastoplastic phase-field simulation of self- and plastic accommodations in martensitic transformation journal, September 2008

A constitutive model for Fe-based shape memory alloy considering martensitic transformation and plastic sliding coupling: Application to a finite element structural analysis journal, May 2012

Anisotropy of martensitic transformations in modeling of shape memory alloy polycrystals journal, January 2000

Superelasticity and fatigue in oligocrystalline shape memory alloy microwires journal, January 2012

Grain size and temperature influence on the toughness of a CuAlBe shape memory alloy journal, November 2010

A non-isothermal phase-field model for shape memory alloys: Numerical simulations of superelasticity and shape memory effect under stress-controlled conditions journal, May 2012

Effects of grain size on plastic deformation in a β CuAlBe shape memory alloy journal, April 2014

Simulation of Austenite-to-ferrite Transformation in Deformed Austenite by Crystal Plasticity Finite Element Method and Multi-phase-field Method journal, January 2012

Modeling and Simulation of Architectured Iron-Based SMA Materials conference, November 2017

Bulk and thin film microstructures in untwinned martensites journal, September 1999

Effect of grain size on the stress–temperature relationship in a β CuAlBe shape memory alloy journal, January 2011

Three-dimensional phase field model of low-symmetry martensitic transformation in polycrystal: simulation of ζ′2 martensite in AuCd alloys journal, July 2001

A macroscale phase-field model for shape memory alloys with non-isothermal effects: Influence of strain rate and environmental conditions on the mechanical response journal, January 2012

Martensitic Transformation and Grain Size in a Cu-Al-Be alloy journal, January 2012

Phase-field modeling of multivariant martensitic microstructures and size effects in nano-indentation journal, January 2020

Experimental and numerical determinations of the initial surface of phase transformation under biaxial loading in some polycrystalline shape-memory alloys journal, December 2002

Micromechanics modelling for the constitutive behavior of polycrystalline shape memory alloys—II. Study of the individual phenomena journal, January 1993

Tensile-compressive asymmetry influence on shape memory alloy system dynamics journal, May 2008

Phase-Field Study of Microstructure and Plasticity in Polycrystalline MnNi Shape Memory Alloys journal, October 2018

A review on phase field modeling of martensitic phase transformation journal, September 2013

Numerical simulation of the behavior of steel T-stubs connected by Fe-based shape memory alloy bolts journal, June 2018

Lifetime of superelastic Cu–Al–Be single crystal wires under bending fatigue journal, April 2005

Orthotropic yield criterion for hexagonal closed packed metals journal, July 2006

Constitutive model for the numerical analysis of phase transformation in polycrystalline shape memory alloys journal, May 2012

Phase proportioning in CuAlBe shape memory alloys during thermomechanical loadings using electric resistance variation journal, February 2010

Phase-field modeling of martensitic microstructure in NiTi shape memory alloys journal, August 2014

Theory of ferroelectrics journal, April 1954

Isothermal martensitic transformation in a 12Cr–9Ni–4Mo–2Cu stainless steel in applied magnetic fields journal, May 2008

A nonlinear 3D model for iron-based shape memory alloys considering different thermomechanical properties for austenite and martensite and coupling between transformation and plasticity journal, April 2017

A review of modeling techniques for advanced effects in shape memory alloy behavior journal, September 2016

A phase-field study of the martensitic detwinning in NiTi shape memory alloys under tension or compression journal, January 2020

Stress-assisted martensitic transformations in steels: A 3-D phase-field study journal, April 2013

Temperature and grain size effects on the behavior of CuAlBe SMA wires under cyclic loading journal, November 2008

A comprehensive energy approach to predict fatigue life in CuAlBe shape memory alloy
journal, December 2014

Effect of martensite embryo potency on the martensitic transformations in steels—A 3D phase-field study
journal, November 2013

Analytical model for the torsional response of superelastic shape memory alloy circular sections subjected to a loading-unloading cycle
journal, January 2019

Microscale phase field modeling of the martensitic transformation during cyclic loading of NiTi single crystal
journal, August 2018

Multifunctional materials: engineering applications and processing challenges
journal, December 2009

A phase-field model for non-isothermal phase transformation and plasticity in polycrystalline yttria-stabilized tetragonal zirconia
journal, June 2020

Phase field study of the microstructure evolution and thermomechanical properties of polycrystalline shape memory alloys: Grain size effect and rate effect
journal, April 2018

A review of computational modeling techniques in study and design of shape memory ceramics
journal, April 2019

Shape memory effect and pseudoelasticity behavior in tetragonal zirconia polycrystals: A phase field study
journal, September 2014

Thermomechanical cyclic behavior modeling of Cu-Al-Be SMA materials and structures
journal, May 2012

Phase field modeling for cyclic phase transition of NiTi shape memory alloy single crystal with super-elasticity
journal, February 2018

A three-dimensional non-isothermal Ginzburg–Landau phase-field model for shape memory alloys
journal, November 2014

Hysteresis phenomena in shape memory alloys by non-isothermal Ginzburg–Landau models
journal, September 2013

Micromechanical modelling of a CuAlNi shape memory alloy behaviour
journal, July 2004

A non-isothermal phase field study of the shape memory effect and pseudoelasticity of polycrystalline shape memory alloys
journal, September 2019

A simplified micromechanical constitutive law adapted to the design of shape memory applications by finite element methods
journal, May 2008

Measurement of local strain heterogeneities in superelastic shape memory alloys by digital image correlation
journal, January 2010

Describing internal subloops due to incomplete phase transformations in shape memory alloys
journal, June 2005

Phase field modeling of stress-induced tetragonal-to-monoclinic transformation in zirconia and its effect on transformation toughening
journal, February 2014

Phase-field modeling of displacive phase transformations in elastically anisotropic and inhomogeneous polycrystals
journal, September 2014

Phase field study of the grain size and temperature dependent mechanical responses of tetragonal zirconia polycrystals: A discussion of tension-compression asymmetry
journal, February 2020

Phase-field study of size-dependent morphology of austenite–twinned martensite interface in CuAlNi
journal, October 2016

Phase field modeling of the tetragonal-to-monoclinic phase transformation in zirconia
journal, August 2013

A finite-strain thermomechanical behavior model for iron-based shape memory alloys accounting for coupling between phase transformation and plastic slip
journal, January 2020

Three-dimensional, non-isothermal phase-field modeling of thermally and stress-induced martensitic transformations in shape memory alloys
journal, March 2017

Phase-field modelling of martensitic transformation: the effects of grain and twin boundaries
journal, October 2013

Grain size and pseudoelastic behaviour of a Cu–Al–Be alloy
journal, February 2008

Thermodynamical model of cyclic behaviour of TiNi and CuZnAl shape memory alloys under isothermal undulated tensile tests
journal, September 1996

Phase-field modeling of austenite grain size effect on martensitic transformation in stainless steels
journal, November 2018

Superelastic behavior and damping capacity of CuAlBe alloys
journal, March 2006

A review of constitutive models and modeling techniques for shape memory alloys
journal, January 2016

Elaboration and characterization of new low temperature shape memory CuAlBe alloys
journal, September 1993

A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening
journal, June 1979

Phase-field simulations of thermomechanical behavior of MnNi shape memory alloys using finite element method
journal, November 2017

Three-dimensional field model and computer modeling of martensitic transformations
journal, February 1997

Stress-induced martensitic transformation of a NiTi alloy in isothermal shear, tension and compression
journal, September 1998

A general macroscopic description of the thermomechanical behavior of shape memory alloys
journal, June 1996

Orthorhombic lattice deformation of CuAlBe shape-memory single crystals under cyclic strain
journal, November 2001

Shape memory alloy CuAlBe strands subjected to cyclic axial loads
journal, October 2011

A phase-field model for incoherent martensitic transformations including plastic accommodation processes in the austenite
journal, October 2011

Elastoplastic phase-field simulation of martensitic transformation with plastic deformation in polycrystal
journal, February 2010

Shape memory alloy nanostructures with coupled dynamic thermo-mechanical effects
journal, July 2015

A 3D model of the cyclic thermomechanical behavior of shape memory alloys
journal, November 2007

Evaluation of grain refiners influence on the mechanical properties in a CuAlBe shape memory alloy by ultrasonic and mechanical tensile testing
journal, August 2010

Elastoplastic phase-field simulation of self- and plastic accommodations in martensitic transformation
journal, September 2008

A constitutive model for Fe-based shape memory alloy considering martensitic transformation and plastic sliding coupling: Application to a finite element structural analysis
journal, May 2012

Anisotropy of martensitic transformations in modeling of shape memory alloy polycrystals
journal, January 2000

Superelasticity and fatigue in oligocrystalline shape memory alloy microwires
journal, January 2012

Grain size and temperature influence on the toughness of a CuAlBe shape memory alloy
journal, November 2010

A non-isothermal phase-field model for shape memory alloys: Numerical simulations of superelasticity and shape memory effect under stress-controlled conditions
journal, May 2012

Effects of grain size on plastic deformation in a β CuAlBe shape memory alloy
journal, April 2014

Simulation of Austenite-to-ferrite Transformation in Deformed Austenite by Crystal Plasticity Finite Element Method and Multi-phase-field Method
journal, January 2012

Modeling and Simulation of Architectured Iron-Based SMA Materials
conference, November 2017

Bulk and thin film microstructures in untwinned martensites
journal, September 1999

Effect of grain size on the stress–temperature relationship in a β CuAlBe shape memory alloy
journal, January 2011

Three-dimensional phase field model of low-symmetry martensitic transformation in polycrystal: simulation of ζ′2 martensite in AuCd alloys
journal, July 2001

A macroscale phase-field model for shape memory alloys with non-isothermal effects: Influence of strain rate and environmental conditions on the mechanical response
journal, January 2012

Martensitic Transformation and Grain Size in a Cu-Al-Be alloy
journal, January 2012

Phase-field modeling of multivariant martensitic microstructures and size effects in nano-indentation
journal, January 2020

Experimental and numerical determinations of the initial surface of phase transformation under biaxial loading in some polycrystalline shape-memory alloys
journal, December 2002

Micromechanics modelling for the constitutive behavior of polycrystalline shape memory alloys—II. Study of the individual phenomena
journal, January 1993

Tensile-compressive asymmetry influence on shape memory alloy system dynamics
journal, May 2008

Phase-Field Study of Microstructure and Plasticity in Polycrystalline MnNi Shape Memory Alloys
journal, October 2018

A review on phase field modeling of martensitic phase transformation
journal, September 2013

Numerical simulation of the behavior of steel T-stubs connected by Fe-based shape memory alloy bolts
journal, June 2018

Lifetime of superelastic Cu–Al–Be single crystal wires under bending fatigue
journal, April 2005

Orthotropic yield criterion for hexagonal closed packed metals
journal, July 2006

Constitutive model for the numerical analysis of phase transformation in polycrystalline shape memory alloys
journal, May 2012

Phase proportioning in CuAlBe shape memory alloys during thermomechanical loadings using electric resistance variation
journal, February 2010

Phase-field modeling of martensitic microstructure in NiTi shape memory alloys
journal, August 2014

Theory of ferroelectrics
journal, April 1954

Isothermal martensitic transformation in a 12Cr–9Ni–4Mo–2Cu stainless steel in applied magnetic fields
journal, May 2008

A nonlinear 3D model for iron-based shape memory alloys considering different thermomechanical properties for austenite and martensite and coupling between transformation and plasticity
journal, April 2017

A review of modeling techniques for advanced effects in shape memory alloy behavior
journal, September 2016

A phase-field study of the martensitic detwinning in NiTi shape memory alloys under tension or compression
journal, January 2020

Stress-assisted martensitic transformations in steels: A 3-D phase-field study
journal, April 2013

Temperature and grain size effects on the behavior of CuAlBe SMA wires under cyclic loading
journal, November 2008

A phase field – Finite element approach to model the interaction between phase transformations and plasticity in shape memory alloys
journal, May 2016

A phenomenological model for pseudoelasticity of shape memory alloys under multiaxial proportional and nonproportional loadings
journal, January 2004

A look into Cu-based shape memory alloys: Present scenario and future prospects
journal, August 2014