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A non-isothermal phase field model that captures both displacive and diffusive phase transformations in a unified framework is presented. The model is developed in a formal thermodynamic setting, which provides guidance on admissible…

材料科学 · 物理学 2011-12-02 Mirko Maraldi , Garth N. Wells , Luisa Molari

In this work, we present a variational and quantitative phase-field model for non-isothermal sintering processes. The model is derived via an extended non-diagonal phase-field model. The model evolution equations have naturally…

材料科学 · 物理学 2023-08-10 Timileyin David Oyedeji , Yangyiwei Yang , Herbert Egger , Bai-Xiang Xu

Results are presented from numerical experiments aiming at the computation of stochastic phase-field models for phase transformations by coarse-graining molecular dynamics. The studied phase transformations occur between a solid crystal and…

数值分析 · 数学 2009-08-11 Erik von Schwerin

We propose a two dimensional frame-invariant phase field model of grain impingement and coarsening. One dimensional analytical solutions for a stable grain boundary in a bicrystal are obtained, and equilibrium energies are computed. We are…

材料科学 · 物理学 2007-05-23 Ryo Kobayashi , James A. Warren , W. Craig Carter

Sintering is an important processing step in both ceramics and metals processing. The microstructure resulting from this process determines many materials properties of interest. Hence the accurate prediction of the microstructure,…

材料科学 · 物理学 2024-03-06 Marco Seiz , Henrik Hierl , Britta Nestler , Wolfgang Rheinheimer

Sintering is a pivotal technology for processing ceramic and metallic powders into solid objects. A profound understanding of microstructure evolution during sintering is essential for manufacturing products with tailored properties. While…

材料科学 · 物理学 2024-12-06 Qingcheng Yang , Arkadz Kirshtein

The solidification of polycrystalline materials can be modelled by orientation-field models, which are formulated in terms of two continuous fields: a phase field that describes the thermodynamic state and an orientation field that…

材料科学 · 物理学 2015-06-05 Hervé Henry , Jesper Mellenthin , Mathis Plapp

We present a phase field model of solidification which includes the effects of the crystalline orientation in the solid phase. This model describes grain boundaries as well as solid-liquid boundaries within a unified framework. With an…

材料科学 · 物理学 2009-11-07 Alexander E. Lobkovsky , James A. Warren

We propose to incorporate grain boundary (GB) anisotropy in phase-field modeling by extending the standard partial differential equations formulation to include a nonlocal functional of an orientation field. Regardless of the number of…

材料科学 · 物理学 2026-02-09 Xiao Han , Axel van de Walle

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.…

材料科学 · 物理学 2020-10-21 Zi-Le Wang , Zhirong Liu , Zhi-Feng Huang , Wenhui Duan

The resulting microstructure after the sintering process determines many materials properties of interest. In order to understand the microstructural evolution, simulations are often employed. One such simulation method is the phase-field…

材料科学 · 物理学 2023-10-19 Marco Seiz , Henrik Hierl , Britta Nestler

Polycrystalline thin films can be unstable with respect to island formation (agglomeration) through grooving where grain boundaries intersect the free surface and/or thin film-substrate interface. We develop a phase-field model to study the…

材料科学 · 物理学 2007-05-23 Mathieu Bouville , Shenyang Hu , Long-Qing Chen , Dongzhi Chi , David J Srolovitz

Conventional phase-field models often drive solid-solid interfaces to coalesce when in close proximity. This feature limits their use for processes like diffusion bonding, where the interfaces might need to remain distinct under certain…

材料科学 · 物理学 2026-02-20 Maryam Khodadad , Noel Walkington , Suresh Kalyanam , Matteo Pozzi , Kaushik Dayal

In the manufacturing process of high-performance particulate materials, viscous sintering plays a crucial role, particularly in fields such as polymer processing and additive manufacturing. The interactions between microscopic particles,…

计算工程、金融与科学 · 计算机科学 2024-12-06 Xiaoxu Dai , Bo Qian , Arkadz Kirshtein , Qingcheng Yang

We introduce a non-isothermal phase-field crystal model including heat flux and thermal expansion of the crystal lattice. The thermal compatibility condition, as well as a positive entropy-production property, is derived analytically and…

材料科学 · 物理学 2025-01-23 Maik Punke , Marco Salvalaglio , Axel Voigt , Steven M. Wise

Grain growth in polycrystals is one of the principal mechanisms that take place during heat treatment of metallic components. This work treats an aspect of the anisotropic grain growth problem. By applying the first principles of…

计算工程、金融与科学 · 计算机科学 2020-06-30 J. Fausty , B. Murgas , S. Florez , N. Bozzolo , M. Bernacki

In the present paper we consider a partial differential system describing a phase-field model with temperature dependent constraint for the order parameter. The system consists of an energy balance equation with a fairly general nonlinear…

偏微分方程分析 · 数学 2021-10-01 Chen Bin , Sergey A. Timoshin

We consider the problem of heterogeneous nucleation and growth. The system is described by a phase field model in which the temperature is included through thermal noise. We show that this phase field approach is suitable to describe…

统计力学 · 物理学 2009-11-07 Mario Castro

A simple numerical model which calculates the kinetics of crystallization involving randomly distributed nucleation and isotropic growth is presented. The model can be applied to different thermal histories and no restrictions are imposed…

材料科学 · 物理学 2008-11-17 J. Farjas , P. Roura

To study materials phenomena simultaneously at various length scales, descriptions in which matter can be coarse grained to arbitrary levels, are necessary. Attempts to do this in the static regime (i.e. zero temperature) have already been…

材料科学 · 物理学 2009-11-07 Stefano Curtarolo , Gerbrand Ceder
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