Finite element formulation of a phase field model based on the concept of generalized stresses

Computational Materials Science ◽

10.1016/j.commatsci.2008.09.015 ◽

2009 ◽

Vol 45 (3) ◽

pp. 800-805 ◽

Author(s):

Kais Ammar ◽

Benoît Appolaire ◽

Georges Cailletaud ◽

Frederic Feyel ◽

Samuel Forest

Keyword(s):

Finite Element ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Finite Element Formulation ◽

Element Formulation ◽

Download Full-text

An implementation of the phase-field model based on coupled thermomechanical finite element solvers for large-strain twinning, explicit dynamic fracture and the classical Stefan problem

Modelling and Simulation in Materials Science and Engineering ◽

10.1088/1361-651x/ab8357 ◽

2020 ◽

Vol 28 (5) ◽

pp. 055002

Author(s):

Milovan Zecevic ◽

M J Cawkwell ◽

K J Ramos ◽

D J Luscher

Keyword(s):

Finite Element ◽

Dynamic Fracture ◽

Stefan Problem ◽

Phase Field ◽

Field Model ◽

Large Strain ◽

Phase Field Model ◽

Model Based ◽

Explicit Dynamic

Download Full-text

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 ◽

Download Full-text

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 ◽

Download Full-text

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

Download Full-text

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 ◽

Download Full-text

A Control Volume Finite Element Formulation with Subcell Reconstruction for Phase-Field Fracture

Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-030-43651-3_49 ◽

2020 ◽

pp. 527-536

Author(s):

Juan Michael Sargado

Keyword(s):

Finite Element ◽

Phase Field ◽

Control Volume ◽

Finite Element Formulation ◽

Element Formulation ◽

Control Volume Finite Element

Download Full-text

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 ◽

Download Full-text

Phase-Field Model-Based Simulation of Motions of a Two-Phase Fluid on Solid Surface

Journal of Computational Science and Technology ◽

10.1299/jcst.7.322 ◽

2013 ◽

Vol 7 (2) ◽

pp. 322-337 ◽

Author(s):

Naoki TAKADA ◽

Junichi MATSUMOTO ◽

Sohei MATSUMOTO

Keyword(s):

Solid Surface ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Two Phase ◽

Model Based ◽

Download Full-text

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 ◽

Download Full-text

Finite Element Approximation of a Phase Field Model for Void Electromigration

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902413421 ◽

2004 ◽

Vol 42 (2) ◽

pp. 738-772 ◽

Author(s):

John W. Barrett ◽

Robert Nürnberg ◽

Vanessa Styles

Keyword(s):

Finite Element ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Finite Element Approximation ◽

Element Approximation

Download Full-text