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Materials which can undergo extremely fast displacive transformations as well as very slow diffusive transformations are studied using a Ginzburg-Landau framework to understand the physics behind microstructure formation and…

Materials Science · Physics 2007-05-23 Mathieu Bouville , Rajeev Ahluwalia

We use phase field simulations to study composites made of two different ferroelastics (e.g., two types of martensite). The deformation of one material due to a phase transformation can elastically affect the other constituent and induce it…

Materials Science · Physics 2009-03-25 Mathieu Bouville , Rajeev Ahluwalia

We study the mechanics of temperature-driven reconstructive martensitic transformations in crystalline materials, within the framework of nonlinear elasticity theory. We focus on the prototypical case of the square-hexagonal transition in…

Materials Science · Physics 2025-05-23 Edoardo Arbib , Noemi Barrera , Paolo Biscari , Giovanni Zanzotto

Phase-field simulations of the martensitic transformation (MT) in the austenitic matrix, which has already undergone the plastic deformation, are carried out. For this purpose the elasto-plastic phase-field approach of incoherent MT…

Materials Science · Physics 2014-03-12 Julia Kundin , Evgeny Pogorelov , Heike Emmerich

A Ginzburg-Landau model for the macroscopic behaviour of a shape memory alloy is proposed. The model is one-dimensional in essence, in that we consider the effect of the martensitic phase transition in terms of a uniaxial deformation along…

Materials Science · Physics 2011-08-01 D. Grandi , M. Maraldi , L. Molari

In a magnetic shape memory alloy system, we vary composition following phenomenological arguments to tune macroscopic properties. We achieve significantly higher shift in austenite to martensitic phase transition temperature with magnetic…

Strongly Correlated Electrons · Physics 2011-06-09 A. Banerjee , S. Dash , Archana Lakhani , P. Chaddah , X. Chen , R. V. Ramanujan

During phase transitions certain properties of a material change, such as composition field and lattice-symmetry distortions. These changes are typically coupled, and affect the microstructures that form in materials. Here, we propose a 2D…

Materials Science · Physics 2018-04-25 Ananya Renuka Balakrishna , W. Craig Carter

Lattice mismatch can substantially impact the spatial organization of heterogeneous materials. We examine a simple model for lattice-mismatched solids over a broad range of temperature and composition, revealing both uniform and spatially…

Statistical Mechanics · Physics 2019-10-02 Layne B. Frechette , Christoph Dellago , Phillip L. Geissler

The continuum theory of dislocations, as developed predominantly by Kr\"oner and Kosevich, views each dislocation as a source of incompatibility of strains. We show that this concept can be employed efficiently in the Landau free energy…

Materials Science · Physics 2010-07-19 R. Gröger , T. Lookman

Despite of the appearance of numerous new materials, the iron based alloys and steels continue to play an essential role in modern technology. The properties of a steel are determined by its structural state (ferrite, cementite, pearlite,…

Materials Science · Physics 2017-07-17 I. K. Razumov , Yu. N. Gornostyrev , M. I. Katsnelson

A thermodynamically consistent multiphase phase-field approach for stress and temperature-induced martensitic phase transformation at the nanoscale and under large strains is developed. A total of N independent order parameters are…

Materials Science · Physics 2023-01-25 Anup Basak , Valery I. Levitas

An original thermodynamically consistent large strains-based multiphase phase-field (PF) approach of Ginzburg-Landau type is developed for studying the grain boundary (GB)-induced martensitic transformations (MTs) in polycrystalline…

Materials Science · Physics 2022-06-24 Anup Basak

We explore the possibilities and limitations of using a coherent second phase to engineer the thermo-mechanical properties of a martensitic alloy by modifying the underlying free energy landscape that controls the transformation. We use…

Materials Science · Physics 2020-05-28 Saaketh Desai , Samuel Temple Reeve , Karthik Guda Vishnu , Alejandro Strachan

An effect of the volume change upon proper ferroelastic (martensitic) phase transitions in cubic crystals is considered. Corresponding terms in the Ginzburg-Landau expansion of the Gibbs free energy are analyzed for the first- as well as…

Condensed Matter · Physics 2008-02-03 M. A. Fradkin

In dislocation-free martensites the components of the elastic strain tensor are constrained by the Saint-Venant compatibility condition which guarantees continuity of the body during external loading. However, in dislocated materials the…

Statistical Mechanics · Physics 2009-11-13 R. Gröger , T. Lookman , A. Saxena

During the phase transitions, diverse states evolve with multiplex phenomena arising from the critical competition. In this study, a displacive martensitic transformation with a lattice shear distortion was unexpectedly observed at the…

Materials Science · Physics 2024-09-18 Qingqi Zeng , Zhiwei Du , Xiaolei Han , Binbin Wang , Guangheng Wu , Enke Liu

Structural phase transitions serve as the basis for many functional applications including shape memory alloys (SMAs), switches based on metal-insulator transitions (MITs), etc. In such materials, lattice incompatibility between phases…

Diffusionless phase transitions are at the core of the multifunctionality of (magnetic) shape memory alloys, ferroelectrics and multiferroics. Giant strain effects under external fields are obtained in low symmetric modulated martensitic…

A three-dimensional phase-field model is proposed for simulating the magnetic martensitic phase transformation. The model considers a paramagnetic cubic austenite to ferromagnetic tetragonal martensite transition, as it occurs in magnetic…

Materials Science · Physics 2022-04-05 Dominik Ohmer , Min Yi , Oliver Gutfleisch , Bai-Xiang Xu

Symmetry-lowering structural phase transitions result in multiple degenerate structures whose coexistence is determined by macroscopic strain compatibility. In quantum materials, these structural transformations often couple to electronic…

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