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Related papers: Phase Transformation Kinetics Model for Metals

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A general model is formulated for elasto-plastic materials undergoing linear kinematic hardening to describe microstructure evolution associated with phase transformations. Using infinitesimal strain theory, the model is based on…

Computational Engineering, Finance, and Science · Computer Science 2026-02-20 Sarah Dinkelacker-Steinhoff , Klaus Hackl

As titanium is a highly utilized metal for structural light-weighting, its phases, transformation pathways (transition states), and structures have scientific and industrial importance. Impurities, pressure, and temperature control the…

Materials Science · Physics 2017-11-28 N. A. Zarkevich , D. D. Johnson

Triply periodic minimal surfaces (TPMS) are discovered to conform to surfaces of given charge density distributions embedded in crystals [Z. Kristallogr. \textbf{170}, 138 (1985)]. Based on our previous work [Phys. Rev. Mater. \textbf{9},…

Materials Science · Physics 2025-10-14 M. Yin , D. D. Vvedensky

The diversity of mesostructures formed in steel at cooling from a high-temperature austenite ("gamma") phase is determined by the interplay of shear reconstructions of crystal lattice and diffusion of carbon. Combining first-principles…

A sharp-interface model describing static equilibrium configurations of shape mory alloys by means of interfacial polyconvex energy density introduced by \v{S}ilhav\'y in 2010 and extended to a quasistatic situation by Kn\"upfer and…

Numerical Analysis · Mathematics 2019-03-26 Miroslav Frost , Martin Kružík , Jan Valdman

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…

For over three decades, the front-capturing level-set method has demonstrated its prowess for the simulation, at the mesoscopic scale, of numerous mechanisms in the context of microstructure evolution occurring during complex…

Computational Engineering, Finance, and Science · Computer Science 2023-10-10 Marc Bernacki

We study experimentally the intermittent progress of the mechanically induced martensitic transformation in a Cu-Al-Be single crystal through a full-field measurement technique: the grid method. We utilize an in- house, specially designed…

Materials Science · Physics 2015-08-04 Xavier Balandraud , Noemi Barrera , Paolo Biscari , Michel Grédiac , Giovanni Zanzotto

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

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

We study the two-step spin crossover in a double-layered elastic model based on transition metal complexes each taking high spin (HS) and low spin (LS) states. Here, only the simplest elastic interactions between adjacent molecules are…

Materials Science · Physics 2017-11-15 Daisuke Taniguchi , Jun Okabayashi , Chisa Hotta

The Fe pressure-temperature phase diagram and its melting line have a wide range of applications, including providing constraints for iron-core planetary models. We propose an equation of state (EOS) model based on the interstitial theory…

Geophysics · Physics 2025-10-23 Rann Shikler , Noya Dimanstein Firman , Yinon Ashkenazy

This work overviews a new, recent success of phase-field modelling: its application to predicting the evolution of the corrosion front and the associated structural integrity challenges. Despite its important implications for society,…

Chemical Physics · Physics 2024-06-24 E. Martínez-Pañeda

The Local Density Approximation combined with Dynamical Mean-Field Theory (LDA+DMFT method) is applied to the study of the paramagnetic and magnetically ordered phases of hematite Fe$_2$O$_3$ as a function of volume. As the volume is…

Strongly Correlated Electrons · Physics 2009-04-07 J. Kunes , Dm. M. Korotin , M. A. Korotin , V. I. Anisimov , P. Werner

A phase-field crystal model based on the density-field approach incorporating high-order interparticle direct correlations is developed to study vapor-liquid-solid coexistence and transitions within a single continuum description.…

Materials Science · Physics 2020-10-21 Zi-Le Wang , Zhirong Liu , Zhi-Feng Huang , Wenhui Duan

Available simulation methods, suitable to describe solid-solid phase transitions occurring upon increasing of presssure and/or temperature, are based on empirical interatomic potentials: this restriction reduces the predictive power, and…

Condensed Matter · Physics 2016-08-31 P. Focher , G. L. Chiarotti , M. Bernasconi , E. Tosatti , M. Parrinello

Fluid dynamics simulations of melting and crater formation at the surface of a copper cathode exposed to high plasma heat fluxes and pressure gradients are presented. The predicted deformations of the free surface and the temperature…

Computational Physics · Physics 2020-08-10 L. Vignitchouk , A. Khodak , S. Ratynskaia , I. D. Kaganovich

We derive rates of convergence for limit theorems that reveal the intricate structure of the phase transitions in a mean-field version of the Blume-Emery-Griffith model. The theorems consist of scaling limits for the total spin. The model…

Probability · Mathematics 2015-06-15 Peter Eichelsbacher , Bastian Martschink

A phase-field model is developed to simulate the corrosion of Mg alloys in body fluids. The model incorporates both Mg dissolution and the transport of Mg ions in solution, naturally predicting the transition from activation-controlled to…

Medical Physics · Physics 2023-08-03 S. Kovacevic , W. Ali , E. Martínez-Pañeda , J. LLorca

Continuum models of plasticity fail to capture the richness of microstructural evolution because the continuum is a homogeneous construction. The present study shows that an alternative way is available at the mesoscale in the form of truly…

Materials Science · Physics 2025-10-01 Afonso D. M. Barroso , Elijah Borodin , Andrey P. Jivkov