Domain evolution in ferroelectric materials: A continuum phase field model and finite element implementation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2007.05.010 ◽

2007 ◽

Vol 196 (41-44) ◽

pp. 4365-4374 ◽

Author(s):

D. Schrade ◽

R. Mueller ◽

B.X. Xu ◽

D. Gross

Keyword(s):

Finite Element ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Ferroelectric Materials ◽

Finite Element Implementation ◽

Domain Evolution

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A finite element based real-space phase field model for domain evolution of ferromagnetic materials

Computational Materials Science ◽

10.1016/j.commatsci.2016.03.020 ◽

2016 ◽

Vol 118 ◽

pp. 214-223 ◽

Author(s):

Honglong Zhang ◽

Xiaoyu Zhang ◽

Yongmao Pei

Keyword(s):

Finite Element ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Ferromagnetic Materials ◽

Domain Evolution ◽

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Finite element implementation of coupled temperature-rate dependent fracture using the phase field model

Mechanics of Materials ◽

10.1016/j.mechmat.2020.103449 ◽

2020 ◽

Vol 148 ◽

pp. 103449

Author(s):

S. Masoud Marandi ◽

S. Hassan Nourbakhsh ◽

M. Botshekanan Dehkordi ◽

Hojjat Badnava

Keyword(s):

Finite Element ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Finite Element Implementation ◽

Rate Dependent ◽

Temperature Rate

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A finite element based phase field model for ferroelectric domain evolution

Smart Materials and Structures ◽

10.1088/0964-1726/21/9/094014 ◽

2012 ◽

Vol 21 (9) ◽

pp. 094014 ◽

Author(s):

Wen D Dong ◽

David M Pisani ◽

Christopher S Lynch

Keyword(s):

Finite Element ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Ferroelectric Domain ◽

Domain Evolution

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A phase-field model for simulation of the laser cladding process using a discontinuous viscosity variable and its approximation by finite element method

International Congress on Applications of Lasers & Electro-Optics ◽

10.2351/1.5060380 ◽

2004 ◽

Author(s):

Aaron Naber ◽

Richard Martukanitz

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Laser Cladding ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Laser Cladding Process ◽

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Numerical analysis of an unconditionally energy-stable reduced-order finite element method for the Allen-Cahn phase field model

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.05.014 ◽

2021 ◽

Vol 96 ◽

pp. 67-76

Author(s):

Huanrong Li ◽

Dongmei Wang ◽

Zhengyuan Song ◽

Fuchen Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Numerical Analysis ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Reduced Order ◽

Energy Stable ◽

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Two-phase flow analysis based on a phase-field model using orthogonal basis bubble function finite element method

International Journal of Computational Fluid Dynamics ◽

10.1080/10618560802238226 ◽

2008 ◽

Vol 22 (8) ◽

pp. 555-568 ◽

Author(s):

Junichi Matsumoto ◽

Naoki Takada

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Phase Field ◽

Field Model ◽

Flow Analysis ◽

Phase Field Model ◽

Orthogonal Basis ◽

Two Phase ◽

Bubble Function

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A nodal finite element approximation of a phase field model for shape and topology optimization

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.07.049 ◽

2018 ◽

Vol 339 ◽

pp. 675-684 ◽

Author(s):

Xianliang Hu ◽

Yixin Li ◽

Hangjie Ji

Keyword(s):

Finite Element ◽

Topology Optimization ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Finite Element Approximation ◽

Element Approximation ◽

Shape And Topology Optimization ◽

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Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn--Hilliard--Navier--Stokes--Darcy Phase Field Model

SIAM Journal on Scientific Computing ◽

10.1137/16m1100885 ◽

2018 ◽

Vol 40 (1) ◽

pp. B110-B137 ◽

Author(s):

Yali Gao ◽

Xiaoming He ◽

Liquan Mei ◽

Xiaofeng Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Navier Stokes ◽

Energy Stable ◽

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Prediction of pore evolution during selected laser melting solidification by a finite element-phase field model

Modelling and Simulation in Materials Science and Engineering ◽

10.1088/1361-651x/ab9733 ◽

2020 ◽

Vol 28 (6) ◽

pp. 065004

Author(s):

Yilin Liu ◽

Gang Wang ◽

Dechang Zeng

Keyword(s):

Finite Element ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Laser Melting ◽

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A real-space phase field model for the domain evolution of ferromagnetic materials

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2013.07.001 ◽

2013 ◽

Vol 50 (22-23) ◽

pp. 3597-3609 ◽

Author(s):

Jie Wang ◽

Jianwei Zhang

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Ferromagnetic Materials ◽

Domain Evolution ◽

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