English
Related papers

Related papers: Phase Transformation Kinetics Model for Metals

200 papers

Shape memory alloys (SMAs) exhibit hysteresis behaviors upon stress and temperature induced loadings. In this contribution, we focus on numerical simulations of microstructure evolution of cubic-to-tetragonal martensitic phase…

Materials Science · Physics 2014-03-25 R. Dhote , H. Gomez , R. Melnik , J. Zu

Using a simple mathematical model, we demonstrate that statistical kinetics of phase-transforming nanoparticles in porous electrodes results in macroscopic non-monotonic transient currents, which could be misinterpreted as the nucleation…

Materials Science · Physics 2012-12-12 Peng Bai , Guangyu Tian

Numerous full-field numerical methods exist concerning the digital description of polycrystalline materials and the modeling of their evolution during thermomechanical treatments. However, these strategies are globally dedicated to the…

Computational Engineering, Finance, and Science · Computer Science 2022-08-22 Nitish Chandrappa , Marc Bernacki

This paper presents a comparative study between two micro-macro modeling approaches to simulate stress-induced martensitic transformation in shape memory alloys (SMA). One model is a crystal plasticity based model and the other describes…

Classical Physics · Physics 2019-06-20 Mame Fall , Etienne Patoor , Olivier Hubert , K Lavernhe -Taillard

The reduction of iron ore with carbon-carriers is one of the largest sources of greenhouse gas emissions in the industry, motivating global activities to replace the coke-based blast furnace reduction by hydrogen-based direct reduction…

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

A three-dimensional phase-field approach to martensitic transformations that uses reaction pathways in place of a Landau potential is introduced and applied to a model of Fe3Ni. Pathway branching involves an unbounded set of variants…

Materials Science · Physics 2010-07-27 Christophe Denoual , Anna Maria Caucci , Laurent Soulard , Yves-Patrick Pellegrini

Transient plasma events, such as plasma disruptions, are anticipated in the future magnetic-confinement nuclear fusion reactors. The events are accompanied by a rapid change in the magnetic field generated by the plasma current and,…

Fluid Dynamics · Physics 2025-05-13 Ivan Smolyanov , Oleg Zikanov

We study a simplified two-dimensional model for a cubic-to-orthorhombic phase transition occuring in certain shape-memory-alloys. In the low temperature regime the linear theory of elasticity predicts various possible patterns of martensite…

Analysis of PDEs · Mathematics 2016-06-29 Angkana Rüland

A description of the martensitic transformations between the $\alpha$, $\beta$ and $\omega$ phases of titanium that includes nucleation and growth requires an accurate classical potential. Optimization of the parameters of a modified…

Materials Science · Physics 2009-11-13 R. G. Hennig , T. J. Lenosky , D. R. Trinkle , S. P. Rudin , J. W. Wilkins

We present a new phase field crystal model for structural transformations in multi-component alloys. The formalism builds upon the two-point correlation kernel developed in Greenwood et al. for describing structural transformations in pure…

Materials Science · Physics 2015-06-12 Nana Ofori-Opoku , Vahid Fallah , Michael Greenwood , Shahrzad Esmaeili , Nikolas Provatas

Materials such as magnetic shape-memory alloys possess an intrinsic coupling between material's magnetisation and mechanical deformation. These materials also undergo structural phase transitions, with phase boundaries separating different…

Computational Physics · Physics 2026-02-04 Michael Poluektov

We consider a sharp interface kinetic model of phase transitions accompanied by elastic strain, together with its phase-field realization. Quantitative results for the steady-state growth of a new phase in a strip geometry are obtained and…

Materials Science · Physics 2015-06-25 Efim A. Brener , V. I. Marchenko , R. Spatschek

Understanding the mechanism of martensitic transformation is of great importance in developing advanced high strength steels, especially TRansformation-Induced Plasticity (TRIP) steels. The TRIP effect leads to enhanced work-hardening rate,…

Materials Science · Physics 2016-12-28 Jiabin Liu , Qiong Feng , Xiaoyang Fang , Hongtao Wang , Jian Lu , Dierk Raabe , Wei Yang

The work presents a thermomechanical model for polycrystalline NiTi-based shape memory alloys developed within the framework of generalized standard solids, which is able to cover loading-mode dependent localization of the martensitic…

Materials Science · Physics 2025-04-24 M. Frost , B. Benešová , H. Seiner , M. Kružík , P. Šittner , P. Sedlák

In this paper, the finite volume method is developed to analyze coupled dynamic problems of nonlinear thermoelasticity. The major focus is given to the description of martensitic phase transformations essential in the modelling of shape…

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

Scale-free phase-field approach (PFA) at large strains and corresponding finite element method (FEM) simulations for multivariant martensitic phase transformation (PT) from cubic Si I to tetragonal Si II in a polycrystalline aggregate are…

Materials Science · Physics 2023-02-14 Hamed Babaei , Raghunandan Pratoori , Valery I. Levitas

We present a unifying description for the martensitic transformation of steel that accounts for important experimentally observable features of the transformation namely, the Neumann bands, the interfacial (habit) plane between the…

Materials Science · Physics 2020-09-23 Félix Therrien , Vladan Stevanović

In this work we introduce a new system of partial differential equations as a simplified model for the evolution of reversible martensitic transformations under thermal cycling in low hysteresis alloys. The model is developed in the context…

Analysis of PDEs · Mathematics 2018-11-20 Francesco Della Porta

We propose a simple, versatile and fast computational model tounderstand the deviations from the well-known Kolmogorov-Johnson-Mehl-Avrami kinetic theoryfound in metal recrystallization and amorphous semiconductor crystallization. Our model…

Condensed Matter · Physics 2016-08-15 Mario Castro , Angel Sánchez , Francisco Domínguez-Adame