Finite element implementation based on explicit, Galerkin and Crank–Nicolson methods to phase field theory for thermal- and surface- induced martensitic phase transformations

Continuum Mechanics and Thermodynamics ◽

10.1007/s00161-019-00838-3 ◽

2019 ◽

Author(s):

Mahdi Javanbakht ◽

Hossein Rahbar ◽

Milad Ashourian

Keyword(s):

Field Theory ◽

Finite Element ◽

Phase Transformations ◽

Phase Field ◽

Martensitic Phase ◽

Finite Element Implementation ◽

Martensitic Phase Transformations ◽

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Finite element procedure and simulations for a multiphase phase field approach to martensitic phase transformations at large strains and with interfacial stresses

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2018.08.006 ◽

2019 ◽

Vol 343 ◽

pp. 368-406 ◽

Author(s):

Anup Basak ◽

Valery I. Levitas

Keyword(s):

Finite Element ◽

Phase Transformations ◽

Phase Field ◽

Martensitic Phase ◽

Large Strains ◽

Interfacial Stresses ◽

Field Approach ◽

Finite Element Procedure ◽

Martensitic Phase Transformations

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Thermomechanical lattice instability and phase field theory of martensitic phase transformations, twinning and dislocations at large strains

Physics Letters A ◽

10.1016/j.physleta.2005.05.034 ◽

2005 ◽

Vol 343 (1-3) ◽

pp. 32-39 ◽

Author(s):

Valery I. Levitas ◽

Dean L. Preston

Keyword(s):

Field Theory ◽

Phase Transformations ◽

Phase Field ◽

Martensitic Phase ◽

Large Strains ◽

Lattice Instability ◽

Martensitic Phase Transformations

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Phase-field theory for martensitic phase transformations at large strains

International Journal of Plasticity ◽

10.1016/j.ijplas.2013.03.002 ◽

2013 ◽

Vol 49 ◽

pp. 85-118 ◽

Author(s):

Valery I. Levitas

Keyword(s):

Field Theory ◽

Phase Transformations ◽

Phase Field ◽

Martensitic Phase ◽

Large Strains ◽

Martensitic Phase Transformations

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Solutions to a phase‐field model for martensitic phase transformations driven by configurational forces

Studies in Applied Mathematics ◽

10.1111/sapm.12365 ◽

2021 ◽

Vol 146 (3) ◽

pp. 730-752

Author(s):

Fan Wu ◽

Xingzhi Bian ◽

Lixian Zhao

Keyword(s):

Phase Transformations ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Martensitic Phase ◽

Configurational Forces ◽

Martensitic Phase Transformations

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Phase-field approach to martensitic phase transformations: Effect of martensite–martensite interface energy

International Journal of Materials Research (formerly Zeitschrift fuer Metallkunde) ◽

10.3139/146.110529 ◽

2011 ◽

Vol 102 (6) ◽

pp. 652-665 ◽

Author(s):

Valery I. Levitas ◽

Mahdi Javanbakht

Keyword(s):

Phase Transformations ◽

Phase Field ◽

Interface Energy ◽

Martensitic Phase ◽

Field Approach ◽

Martensitic Phase Transformations

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Nanoscale multiphase phase field approach for stress- and temperature-induced martensitic phase transformations with interfacial stresses at finite strains

Journal of the Mechanics and Physics of Solids ◽

10.1016/j.jmps.2018.01.014 ◽

2018 ◽

Vol 113 ◽

pp. 162-196 ◽

Author(s):

Anup Basak ◽

Valery I. Levitas

Keyword(s):

Phase Transformations ◽

Phase Field ◽

Martensitic Phase ◽

Finite Strains ◽

Interfacial Stresses ◽

Field Approach ◽

Martensitic Phase Transformations

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Interface propagation and microstructure evolution in phase field models of stress-induced martensitic phase transformations

International Journal of Plasticity ◽

10.1016/j.ijplas.2009.08.003 ◽

2010 ◽

Vol 26 (3) ◽

pp. 395-422 ◽

Author(s):

Valery I. Levitas ◽

Dong-Wook Lee ◽

Dean L. Preston

Keyword(s):

Phase Transformations ◽

Microstructure Evolution ◽

Phase Field ◽

Martensitic Phase ◽

Phase Field Models ◽

Martensitic Phase Transformations ◽

Interface Propagation

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A coupled kinetic Monte Carlo–finite element mesoscale model for thermoelastic martensitic phase transformations in shape memory alloys

Acta Materialia ◽

10.1016/j.actamat.2014.10.011 ◽

2015 ◽

Vol 83 ◽

pp. 431-447 ◽

Author(s):

Ying Chen ◽

Christopher A. Schuh

Keyword(s):

Finite Element ◽

Monte Carlo ◽

Shape Memory Alloys ◽

Shape Memory ◽

Phase Transformations ◽

Mesoscale Model ◽

Kinetic Monte Carlo ◽

Martensitic Phase ◽

Martensitic Phase Transformations

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Finite-strain scale-free phase-field approach to multivariant martensitic phase transformations with stress-dependent effective thresholds

Journal of the Mechanics and Physics of Solids ◽

10.1016/j.jmps.2020.104114 ◽

2020 ◽

Vol 144 ◽

pp. 104114 ◽

Author(s):

Hamed Babaei ◽

Valery I. Levitas

Keyword(s):

Phase Transformations ◽

Phase Field ◽

Finite Strain ◽

Martensitic Phase ◽

Field Approach ◽

Martensitic Phase Transformations ◽

Stress Dependent

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Phase-field modeling of martensitic phase transformations in polycrystals coupled with crystal plasticity - A spectral-based approach

PAMM ◽

10.1002/pamm.201510149 ◽

2015 ◽

Vol 15 (1) ◽

pp. 317-318

Author(s):

Julian Kochmann ◽

Stephan Wulfinghoff ◽

Bob Svendsen ◽

Stefanie Reese

Keyword(s):

Phase Transformations ◽

Crystal Plasticity ◽

Phase Field ◽

Martensitic Phase ◽

Phase Field Modeling ◽

Field Modeling ◽

Martensitic Phase Transformations

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