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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

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

Bone Remodeling from the Perspective of the Phase Field Method

2019
In this work, we have developed a mechanobiological model of bone remodeling involving a mineralization of bone in a moving diffuse interface separating the marrow containing all specialized cells from newly formed bone. The phase field describes the degree of mineralization within the diffuse interface at the level of individual trabeculae; it varies ...
Boisse, Julien   +2 more
openaire   +1 more source

From classical thermodynamics to phase-field method

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

A phase field numerical manifold method for crack propagation in quasi-brittle materials

Engineering Fracture Mechanics, 2021
Yongtao Yang, Hong Zheng
exaly  

An effective phase field method for topology optimization without the curvature effects

Computers and Mathematics With Applications, 2023
Yibao Li
exaly  

Adaptive phase field method using novel physics based refinement criteria

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

Multi phase-field modeling of anisotropic crack propagation in 3D fiber-reinforced composites based on an adaptive isogeometric meshfree collocation method

Computer Methods in Applied Mechanics and Engineering, 2022
Nhon Nguyen-Thanh   +2 more
exaly  

Accurate conservative phase-field method for simulation of two-phase flows

Journal of Computational Physics, 2022
Suhas S Jain
exaly  

Phase Field Methods

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

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