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Related papers: Phase-Field Reaction-Pathway Kinetics of Martensit…

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We develop a new model for phase transformation kinetics in metals by generalizing the Levitas-Preston (LP) phase field model of martensite phase transformations (see Levitas and Preston (2002a,b); Levitas, Preston and Lee (2003)) to…

Materials Science · Physics 2025-12-15 Daniel N. Blaschke , Abigail Hunter , Dean L. Preston

A continuum density-field formulation with particle-scale resolution is constructed to simultaneously incorporate the orientation dependence of interparticle interactions and the rotational invariance of the system, a fundamental but…

Materials Science · Physics 2018-05-28 Zi-Le Wang , Zhirong Liu , Zhi-Feng Huang

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

A numerical model is constructed for modelling macroscale damping effects induced by the first order martensite phase transformations in a shape memory alloy rod. The model is constructed on the basis of the modified Landau-Ginzburg theory…

Computational Engineering, Finance, and Science · Computer Science 2025-10-20 Linxiang X. Wang , Roderick V. N. Melnik

Polarization switching in ferroelectric BaTiO3 can proceed through fundamentally different mechanisms - yet the conditions that determine which pathway is realized remain poorly understood. Using machine-learning potential-based molecular…

Materials Science · Physics 2026-05-26 Po-Yen Chen , Teruyasu Mizoguchi

The present work aims to describe, within a single phenomenological approach, the specific sequence of phase transitions observed in the rare-earth manganites RMnO3 at zero magnetic field. It is shown that a single integrated description of…

Materials Science · Physics 2015-05-18 J. L. Ribeiro , L. G. Vieira

When subjected to electro-mechanical loading, ferroelectrics see their polarization evolve through the nucleation and evolution of domains. Existing mesoscale phase-field models for ferroelectrics are typically based on a gradient-descent…

Materials Science · Physics 2023-05-10 Laurent Guin , Dennis Kochmann

Engineering alloys generally exhibit multi-phase microstructures. For simulating their microstructure evolution during solid-state phase transformation, CALPHAD-guided multi-phase-field models coupled with micro-mechanics have proven to be…

Materials Science · Physics 2023-01-05 Sourav Chatterjee , Daniel Schwen , Nele Moelans

While most phase transformations, e.g. ferroelectric or ferromagnetic, can be first or second order depending on external applied fields, martensitic transformations in metallic alloys are nearly universally first order. We demonstrate that…

Materials Science · Physics 2020-04-07 Samuel Temple Reeve , Karthik Guda Vishnu , Alejandro Strachan

Needle-like twins are observed experimentally within the transition layer at the martensite-twinned martensite interface. We utilize a phase-field approach to investigate this microstructure. Our goal is to simulate the morphology of the…

Materials Science · Physics 2023-09-06 Seyedshoja Amini , Mohsen Rezaee-Hajidehi , Stanislaw Stupkiewicz

We study existence of solutions in the variational sense for a class of stochastic phase-field models describing moving boundary problems. The models consist of stochastic reaction-diffusion equations with singular diffusion forced by a…

Probability · Mathematics 2026-01-12 Amjad Saef , Wilhelm Stannat

Shape memory alloys inherit their macroscopic properties from their mesoscale microstructure originated from the martensitic phase transformation. In a cubic to orthorhombic transition, a single variant of marten- site can have a compatible…

Materials Science · Physics 2020-09-23 Oguz Umut Salman , Alphonse Finel , Remi Delville , Dominique Schryvers

Directional solidification of water-based solutions has emerged as a versatile technique for templating hierarchical porous materials. However, the underlying mechanisms of pattern formation remain incompletely understood. In this work, we…

Materials Science · Physics 2026-03-20 Kaihua Ji , Alain Karma

Phase-field methods offer a versatile computational framework for simulating large-scale morphological evolution. However, the applicability and predictability of phase-field models are inherently limited by their ad hoc nature, and there…

Materials Science · Physics 2025-10-30 Jaehyeok Jin , David R. Reichman

Nonequilibrium behavior and dynamic phase transition properties of a kinetic Ising model under the influence of periodically oscillating random-fields have been analyzed within the framework of effective field theory (EFT) based on a…

Statistical Mechanics · Physics 2012-07-10 Yusuf Yüksel , Erol Vatansever , Ümit Akıncı , Hamza Polat

It has been a long challenge to analytically construct the quantitative temperature-dependent multi-well free-energy landscape over the space of order parameters describing phase transitions and associated critical phenomena. Here we…

Materials Science · Physics 2022-12-07 Yi Wang , Tiannan Yang , Shun-Li Shang , Long-Qing Chen , Zi-Kui Liu

We describe the microstructure, shape and dynamics of growth of a droplet of martensite nucleating in a parent austenite during a solid-solid transformation, using a Landau theory written in terms of conventional affine, elastic…

Materials Science · Physics 2011-11-29 Arya Paul , Surajit Sengupta , Madan Rao

Materials which can undergo slow diffusive transformations as well as fast displacive transformations are studied using the phase-field method. The model captures the essential features of the time-temperature-transformation (TTT) diagrams,…

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

This work presents a three-dimensional constitutive model for the martensitic transformation in polycrystalline Shape Memory Alloys (SMAs) under large deformation. By utilizing the logarithmic strain and rate, the model is able to account…

Materials Science · Physics 2019-09-04 Lei Xu , Theocharis Baxevanis , Dimitris Lagoudas

We study a system of classical particles in two dimensions interacting through an isotropic pair potential that displays a martensitic phase transition between a triangular and a rhomboidal structure upon the change of a single parameter.…

Materials Science · Physics 2015-09-09 E. A. Jagla