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A brief introduction to phase field method

AIP Conference Proceedings, 2010
In this tutorial paper we will give a brief introduction of phase field method as a mathematical tool for describing interfaces and their motion. This method was originally developed as a model of solidification, which enabled us to simulate complicated structures like dendritic crystals easily.
Ryo Kobayashi   +3 more
openaire   +1 more source

Coherent Precipitation — Phase Field Method

2005
Phase transformation is still the most efficient and effective way to produce various microstructures at mesoscales, and to control their evolution over time. In crystalline solids, phase transformations are usually accompanied by coherency strain generated by lattice misfit between coexisting phases.
C. Shen, Y. Wang
openaire   +1 more source

A phase-field method for shape optimization of incompressible flows

Computers & Mathematics with Applications, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Futuan Li, Xianliang Hu
openaire   +3 more sources

Phase-field modeling by the method of lattice Boltzmann equations

Physical Review E, 2010
In this paper, at first, a lattice Boltzmann method for binary fluids, which is applicable at low viscosity values, is developed. The presented scheme is extension of the free-energy-based approach to a multi-relaxation-time collision model. Various benchmark problems such as the well-known Laplace law for stationary bubbles and capillary-wave test are
Fakhari, Abbas, Rahimian, Mohammad H.
openaire   +2 more sources

From Classical Thermodynamics to Phase-Field Method

Progress in Materials Science, 2022
Yuhong Zhao, Long-Qing Chen
exaly  

Adaptive Phase Field Method Using Novel Physics Based Refinement Criteria

Computer Methods in Applied Mechanics and Engineering, 2021
Haim Waisman, Sundararajan Natarajan
exaly  

A Phase Field Numerical Manifold Method for Crack Propagation in Quasi-Brittle Materials

Engineering Fracture Mechanics, 2021
Yongtao Yang, Hong Zheng
exaly  

Phase i Clinical Trials

Ca-A Cancer Journal for Clinicians, 1987
Don L Jewett
exaly   +2 more sources

An Effective Phase Field Method for Topology Optimization Without the Curvature Effects

Computers and Mathematics With Applications, 2023
Yibao Li, Qing Xia, Wenxuan Xie
exaly  

Accurate Conservative Phase-Field Method for Simulation of Two-Phase Flows

Journal of Computational Physics, 2022
Suhas S Jain
exaly  

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