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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

The Phase-Field Method in Optimal Design

2006
We describe the phase-field method, a new approach to optimal design originally introduced in Bourdin and Chambolle (2000, 2003). It is based on the penalization of the variation of the properties of the designs, and its variational approximation (in the sense of Г-convergence.
Blaise Bourdin, Antonin Chambolle
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
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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

Phase Field Methods

2016
A. Karma, A.-G Olabi
openaire   +1 more source

A novel classification method combining phase-field and DNN

Pattern Recognition, 2023
Jian Wang 0052   +3 more
openaire   +1 more source

Crystallization Behavior with Phase Field Method

Proceedings of the 5th Asian Particle Technology Symposium, 2012
Yusuke Nishimura   +3 more
openaire   +1 more source

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