EDP Sciences logo
Subscriber Authentication Point
Search
Menu

Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Simulation-assisted material extrusion additive manufacturing of WC–6Ti(C, N)–10Co cemented carbides

Runxing Zhou, Lei Chen, Zuming Liu, Yongxia Li, Dan Zou, Xulin Cheng, Yiming Chang, Peicheng Mo and Hanjing Lu
International Journal of Refractory Metals and Hard Materials 138 107698 (2026)
https://doi.org/10.1016/j.ijrmhm.2026.107698

Phase-field Simulation of the Sintering Process of Uranium Nitride Nuclear Fuel

Shen Wen-Long, Liao Yu-Xuan, Wu Xue-Zhi, Li Pei and Liu Wen-Bo
Acta Physica Sinica 75 (4) (2026)
https://doi.org/10.7498/aps.75.20250754

Influence of nitriding treatment on the microstructure and mechanical properties of AISI 422 martensitic stainless steel

Zhengzhong Xi, Qiong Jing, Yun Wang, Xiao Han, Ruijun He and Hongye Zhang
Materials & Design 257 114386 (2025)
https://doi.org/10.1016/j.matdes.2025.114386

Onset of Pattern Formation for the Stochastic Allen–Cahn Equation

Stella Brassesco, Glauco Valle and Maria Eulália Vares
Journal of Theoretical Probability 38 (1) (2025)
https://doi.org/10.1007/s10959-024-01395-5

Geometric Integration for the Linear-Gradient System

Nan Lu, Yushun Wang and Yajuan Sun
SIAM Journal on Scientific Computing 47 (1) A46 (2025)
https://doi.org/10.1137/23M1617618

Macroscopically modeling fatigue life of additively manufactured metals: Pore-defect informed phase-field model

Wei Tang, Lingfeng Wang, Shen Sun, Liucheng Zhou and Min Yi
Journal of the Mechanics and Physics of Solids 196 106008 (2025)
https://doi.org/10.1016/j.jmps.2024.106008

Phase field simulation of dendrite growth in solid-state lithium batteries based on mechaincal-thermo-electrochemical coupling

Pengyang HOU, Jiamiao XIE, Jingyang LI, Peng ZHANG, Zhaokai LI, Wenqian HAO, Jia TIAN, Zhe WANG and Fuzheng LI
Acta Physica Sinica 74 (7) 070201 (2025)
https://doi.org/10.7498/aps.74.20241727

On the geometric evolution and second order dynamics of level-sets of fields defined by partial differential equations

Aarne Pohjonen
Mathematical Modelling of Natural Phenomena 20 23 (2025)
https://doi.org/10.1051/mmnp/2025021

Auxiliary relaxation method to derive thermodynamically consistent phase field models with constraints and structure preserving numerical approximations

Qi Hong, Zengyan Zhang and Jia Zhao
Journal of Computational Physics 522 113598 (2025)
https://doi.org/10.1016/j.jcp.2024.113598

Unconditionally stable method for the high-order Allen–Cahn equation

Seungyoon Kang, Youngjin Hwang and Junseok Kim
Journal of Computational Science 90 102636 (2025)
https://doi.org/10.1016/j.jocs.2025.102636

High-temperature experiments and simulation methods for oxidation behavior research of thermostructural materials

Yongsheng Gu, Yanfei Chen, Shengping Shen and Daining Fang
Composites Part A: Applied Science and Manufacturing 198 109150 (2025)
https://doi.org/10.1016/j.compositesa.2025.109150

A continuum thermodynamic approach to the phase-field method: the order parameter as internal state variable

Andreas Prahs, Daniel Schneider and Britta Nestler
Continuum Mechanics and Thermodynamics 37 (4) (2025)
https://doi.org/10.1007/s00161-025-01383-y

Effects of the diffusion path on the effective diffusion coefficient of hydrogen isotope in tungsten with helium bubbles

Bowen Xue, Bingchen Li, Shuo Jin, Linyun Liang, Hong-Bo Zhou and Guang-Hong Lu
Journal of Nuclear Materials 599 155184 (2024)
https://doi.org/10.1016/j.jnucmat.2024.155184

Machine-learning-assisted deciphering of microstructural effects on ionic transport in composite materials: A case study of Li7La3Zr2O12-LiCoO2

Longsheng Feng, Bo Wang, Kwangnam Kim, Liwen F. Wan, Brandon C. Wood and Tae Wook Heo
Energy Storage Materials 73 103776 (2024)
https://doi.org/10.1016/j.ensm.2024.103776

Chemo-elasto-electro free energy of non-uniform system in the diffuse interface context

Yuhan Cai, Fei Wang, Haodong Zhang and Britta Nestler
Journal of Physics: Condensed Matter 36 (49) 495702 (2024)
https://doi.org/10.1088/1361-648X/ad7660

Three-dimensional phase-field modeling of dislocation loop growth behaviors in irradiated materials: Applications in tungsten

Bowen Xue, Bingchen Li, Shuo Jin and Linyun Liang
Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 555 165493 (2024)
https://doi.org/10.1016/j.nimb.2024.165493

Effect of grain size on irradiation-induced bubble evolution in high burn-up UO2: A phase-field study

Yanbo Jiang, Yongxiao La, Xuxi Liu and Wenbo Liu
Journal of Nuclear Materials 155312 (2024)
https://doi.org/10.1016/j.jnucmat.2024.155312

Local volume-conservation-improved diffuse interface model for simulation of Rayleigh–Plateau fluid instability

Jianqing Li and Junxiang Yang
Computer Physics Communications 296 109050 (2024)
https://doi.org/10.1016/j.cpc.2023.109050

Abnormal grain growth behavior in gradient nanostructured titanium investigated by coupled quasi-in-situ EBSD experiments and phase-field simulations

Wei Peng, Xiao Li, Jiabao Gao, Chenyun He, Yong Zhang, Tiwen Lu, Xiancheng Zhang, Lijun Zhang, Binhan Sun and Shantung Tu
Acta Materialia 276 120141 (2024)
https://doi.org/10.1016/j.actamat.2024.120141

Classical fatigue theory informed phase-field model for high-cycle fatigue life and fatigue crack growth

Wei Tang, Min Yi, Long-Qing Chen and Wanlin Guo
Engineering Fracture Mechanics 306 110212 (2024)
https://doi.org/10.1016/j.engfracmech.2024.110212

The role of the nucleus for cell mechanics: an elastic phase field approach

Robert Chojowski, Ulrich S. Schwarz and Falko Ziebert
Soft Matter 20 (22) 4488 (2024)
https://doi.org/10.1039/D4SM00345D

A decoupled finite element scheme for simulating the dynamics of red blood cells in an L-shaped cavity

Murad Ali Shah, Kejia Pan, Rui Chen, Zhengru Zhang and Dongdong He
Computers & Mathematics with Applications 140 169 (2023)
https://doi.org/10.1016/j.camwa.2023.04.005

Development and Numerical Testing of a Model of Equiaxed Alloy Solidification Using a Phase Field Formulation

Abdur Rahman Al Azad, Philip Cardiff and David J. Browne
Metals 13 (12) 1916 (2023)
https://doi.org/10.3390/met13121916

Parameter estimation for semilinear SPDEs from local measurements

Randolf Altmeyer, Igor Cialenco and Gregor Pasemann
Bernoulli 29 (3) (2023)
https://doi.org/10.3150/22-BEJ1531

Insights into abnormal grain growth in copper thin films for reduced electrical resistivity: A quantitative multi-order-parameter phase-field study under finite element framework

Wei Peng, Jianbao Gao, Tiwen Lu, Binhan Sun, Xiancheng Zhang, Lijun Zhang and Shantung Tu
Acta Materialia 260 119236 (2023)
https://doi.org/10.1016/j.actamat.2023.119236

Creep property and rafting kinetics of Co-based monocrystal superalloys with antiphase boundaries of γʹ phase

Yinfei Ju, Hongli Long, Qingqing Qin, Shenglong Wang, Ye Shan and Yongsheng Li
Materials Science and Engineering: A 880 145283 (2023)
https://doi.org/10.1016/j.msea.2023.145283

Multiphysics multi-scale computational framework for linking process–structure–property relationships in metal additive manufacturing: a critical review

Shashank Sharma, Sameehan S. Joshi, Mangesh V. Pantawane, Madhavan Radhakrishnan, Sangram Mazumder and Narendra B. Dahotre
International Materials Reviews 68 (7) 943 (2023)
https://doi.org/10.1080/09506608.2023.2169501

Phase-Field Simulation of δ Hydride Precipitation with Interfacial Anisotropy

Hailong Nie, Xincheng Shi, Wenkui Yang, Kaile Wang and Yuhong Zhao
Computers, Materials & Continua 77 (2) 1425 (2023)
https://doi.org/10.32604/cmc.2023.044510

Highly conservative Allen–Cahn-type multi-phase-field model and evaluation of its accuracy

Shintaro Aihara, Naoki Takada and Tomohiro Takaki
Theoretical and Computational Fluid Dynamics 37 (5) 639 (2023)
https://doi.org/10.1007/s00162-023-00655-0

Phase-field modeling of crack propagation in heterogeneous materials with multiple crack order parameters

Lukas Schöller, Daniel Schneider, Christoph Herrmann, Andreas Prahs and Britta Nestler
Computer Methods in Applied Mechanics and Engineering 395 114965 (2022)
https://doi.org/10.1016/j.cma.2022.114965

Microstructural pattern formation during liquid metal dealloying: Phase-field simulations and theoretical analyses

Longhai Lai, Pierre-Antoine Geslin and Alain Karma
Physical Review Materials 6 (9) (2022)
https://doi.org/10.1103/PhysRevMaterials.6.093803

Formation of radiator structures in quartz veins - Phase-field modeling of multi-crack sealing

Michael Späth, Janos L. Urai and Britta Nestler
Journal of Structural Geology 158 104576 (2022)
https://doi.org/10.1016/j.jsg.2022.104576

Phase-field modeling of carbon fiber oxidation coupled with heat conduction

Marina Sessim, Linyuan Shi, Simon R. Phillpot and Michael R. Tonks
Computational Materials Science 204 111156 (2022)
https://doi.org/10.1016/j.commatsci.2021.111156

Modeling of Temperature- and Strain-Driven Intermetallic Compound Evolution in an Al-Mg System Via a Multiphase-Field Approach with Application to Refill Friction Stir Spot Welding

Syed Hasan Raza, Tobias Mittnacht, George Diyoke, et al.
SSRN Electronic Journal (2022)
https://doi.org/10.2139/ssrn.4046453

Phase transitions affected by natural and forceful molecular interconversion

Thomas J. Longo and Mikhail A. Anisimov
The Journal of Chemical Physics 156 (8) (2022)
https://doi.org/10.1063/5.0081180

Phase-field modeling of microstructure evolution: Recent applications, perspectives and challenges

Damien Tourret, Hong Liu and Javier LLorca
Progress in Materials Science 123 100810 (2022)
https://doi.org/10.1016/j.pmatsci.2021.100810

Modeling of temperature- and strain-driven intermetallic compound evolution in an Al–Mg system via a multiphase-field approach with application to refill friction stir spot welding

Syed Hasan Raza, Tobias Mittnacht, George Diyoke, Daniel Schneider, Britta Nestler and Benjamin Klusemann
Journal of the Mechanics and Physics of Solids 169 105059 (2022)
https://doi.org/10.1016/j.jmps.2022.105059

A Phase-Field Model for In-Space Manufacturing of Binary Alloys

Manoj Ghosh, Muhannad Hendy, Jonathan Raush and Kasra Momeni
Materials 16 (1) 383 (2022)
https://doi.org/10.3390/ma16010383

Optimal control of an Allen-Cahn model for tumor growth through supply of cytotoxic drugs

Hawraa Alsayed, Hussein Fakih, Alain Miranville and Ali Wehbe
Discrete and Continuous Dynamical Systems - S 15 (12) 3481 (2022)
https://doi.org/10.3934/dcdss.2022003

Phase-Field Model for the Simulation of Brittle-Anisotropic and Ductile Crack Propagation in Composite Materials

Christoph Herrmann, Daniel Schneider, Ephraim Schoof, Felix Schwab and Britta Nestler
Materials 14 (17) 4956 (2021)
https://doi.org/10.3390/ma14174956

Linear-superelastic Ti-Nb nanocomposite alloys with ultralow modulus via high-throughput phase-field design and machine learning

Yuquan Zhu, Tao Xu, Qinghua Wei, et al.
npj Computational Materials 7 (1) (2021)
https://doi.org/10.1038/s41524-021-00674-7

Effects of heating rate on the alloy element partitioning and mechanical properties in equiaxed α+β Ti-6Al-4V alloy

Jinhu Zhang, Hongtao Ju, Haisheng Xu, Liang Yang, Zhichao Meng, Chen Liu, Ping Sun, Jianke Qiu, Chunguang Bai, Dongsheng Xu and Rui Yang
Journal of Materials Science & Technology 94 1 (2021)
https://doi.org/10.1016/j.jmst.2021.02.061

Energy stable modeling of two-phase flow in porous media with fluid–fluid friction force using a Maxwell–Stefan–Darcy approach

Jisheng Kou, Shigui Du and Zhen Zhong
Physics of Fluids 33 (7) (2021)
https://doi.org/10.1063/5.0053373

Discontinuous Galerkin finite element methods for the Landau–de Gennes minimization problem of liquid crystals

Ruma Rani Maity, Apala Majumdar and Neela Nataraj
IMA Journal of Numerical Analysis 41 (2) 1130 (2021)
https://doi.org/10.1093/imanum/draa008

Gas Bubble Evolution in Polycrystalline UMo Fuels Under Elastic-Plastic Deformation: A Phase-Field Model With Crystal-Plasticity

Shenyang Hu and Benjamin Beeler
Frontiers in Materials 8 (2021)
https://doi.org/10.3389/fmats.2021.682667

Phase amplification in spinodal decomposition of immiscible fluids with interconversion of species

Nikolay A. Shumovskyi, Thomas J. Longo, Sergey V. Buldyrev and Mikhail A. Anisimov
Physical Review E 103 (6) (2021)
https://doi.org/10.1103/PhysRevE.103.L060101

Investigation of δ zirconium hydride morphology in a single crystal using quantitative phase field simulations supported by experiments

P.-C.A. Simon, Larry K. Aagesen, Andrea M. Jokisaari, Long-Qing Chen, Mark R. Daymond, Arthur T. Motta and Michael R. Tonks
Journal of Nuclear Materials 557 153303 (2021)
https://doi.org/10.1016/j.jnucmat.2021.153303

Crystal plasticity phase-field simulation of creep property of Co-base single crystal superalloy with pre-rafting

Dong Wang, Yongsheng Li, Shujing Shi, Xiaoyuan Zhang and Zhengwei Yan
Computational Materials Science 199 110763 (2021)
https://doi.org/10.1016/j.commatsci.2021.110763

Linear energy stable and maximum principle preserving semi-implicit scheme for Allen–Cahn equation with double well potential

Xiuhua Wang, Jisheng Kou and Huicai Gao
Communications in Nonlinear Science and Numerical Simulation 98 105766 (2021)
https://doi.org/10.1016/j.cnsns.2021.105766

Segmentation of experimental datasets via convolutional neural networks trained on phase field simulations

Jiwon Yeom, Tiberiu Stan, Seungbum Hong and Peter W. Voorhees
Acta Materialia 214 116990 (2021)
https://doi.org/10.1016/j.actamat.2021.116990

An electro-thermal computational study of conducting channels in dielectric thin films using self-consistent phase-field methodology: A view toward the physical origins of resistive switching

Foroozan S. Koushan and Nobuhiko P. Kobayashi
Journal of Applied Physics 128 (16) (2020)
https://doi.org/10.1063/5.0027702

A numerical study for thermocapillary induced patterning of thin liquid films

Ali Mohammadtabar, Hadi Nazaripoor, Adham Riad, Arman Hemmati and Mohtada Sadrzadeh
Physics of Fluids 32 (2) (2020)
https://doi.org/10.1063/1.5134460

The effects of introducing elasticity using different interpolation schemes to the grand potential phase field model

Pierre-Clément A. Simon, Larry K. Aagesen, Arthur T. Motta and Michael R. Tonks
Computational Materials Science 183 109790 (2020)
https://doi.org/10.1016/j.commatsci.2020.109790

Energy stable and mass conservative numerical method for a generalized hydrodynamic phase-field model with different densities

Jisheng Kou, Xiuhua Wang, Meilan Zeng and Jianchao Cai
Physics of Fluids 32 (11) (2020)
https://doi.org/10.1063/5.0027627

Phase-field simulation of γ' precipitates rafting and creep property of Co-base superalloys

Dong Wang, Yongsheng Li, Shujing Shi, Xinwen Tong and Zhengwei Yan
Materials & Design 196 109077 (2020)
https://doi.org/10.1016/j.matdes.2020.109077

Arbitrarily high-order linear energy stable schemes for gradient flow models

Yuezheng Gong, Jia Zhao and Qi Wang
Journal of Computational Physics 419 109610 (2020)
https://doi.org/10.1016/j.jcp.2020.109610

Multiphase-field modelling of crack propagation in geological materials and porous media with Drucker-Prager plasticity

Michael Späth, Christoph Herrmann, Nishant Prajapati, et al.
Computational Geosciences (2020)
https://doi.org/10.1007/s10596-020-10007-0

Multiphase-field modeling of temperature-driven intermetallic compound evolution in an Al–Mg system for application to solid-state joining processes

Syed Hasan Raza and Benjamin Klusemann
Modelling and Simulation in Materials Science and Engineering 28 (8) 085003 (2020)
https://doi.org/10.1088/1361-651X/aba1df

An enhanced phase field model for the numerical simulation of polymer crystallization

Amine Bahloul, Issam Doghri and Laurent Adam
POLYMER CRYSTALLIZATION 3 (4) (2020)
https://doi.org/10.1002/pcr2.10144

The Weyl Law for the phase transition spectrum and density of limit interfaces

Pedro Gaspar and Marco A. M. Guaraco
Geometric and Functional Analysis 29 (2) 382 (2019)
https://doi.org/10.1007/s00039-019-00489-1

Decoupled, non-iterative, and unconditionally energy stable large time stepping method for the three-phase Cahn-Hilliard phase-field model

Jun Zhang and Xiaofeng Yang
Journal of Computational Physics 109115 (2019)
https://doi.org/10.1016/j.jcp.2019.109115

Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

Mi-Ho Giga, Arkadz Kirshtein and Chun Liu
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids 73 (2018)
https://doi.org/10.1007/978-3-319-13344-7_2

Friction anomalies at first-order transition spinodals: 1T-TaS2

Emanuele Panizon, Torben Marx, Dirk Dietzel, et al.
New Journal of Physics 20 (2) 023033 (2018)
https://doi.org/10.1088/1367-2630/aaac00

Three-dimensional phase field modeling of inhomogeneous gas-liquid systems using the PeTS equation of state

Felix Diewald, Michaela Heier, Martin Horsch, Charlotte Kuhn, Kai Langenbach, Hans Hasse and Ralf Müller
The Journal of Chemical Physics 149 (6) (2018)
https://doi.org/10.1063/1.5035495

A phase field model for stress‐based evolution of load‐bearing structures

I. Muench, C. Gierden and W. Wagner
International Journal for Numerical Methods in Engineering 115 (13) 1580 (2018)
https://doi.org/10.1002/nme.5909

Investigating the stability of the phase field solution of equilibrium droplet configurations by eigenvalues and eigenvectors

Felix Diewald, Charlotte Kuhn, Michaela Heier, et al.
Computational Materials Science 141 185 (2018)
https://doi.org/10.1016/j.commatsci.2017.08.029

Partial Differential Equations and Applications

Paul Fife
Lecture Notes in Pure and Applied Mathematics, Partial Differential Equations and Applications 137 (2017)
https://doi.org/10.1201/9780203744369-13

Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

Mi-Ho Giga, Arkadz Kirshtein and Chun Liu
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids 1 (2017)
https://doi.org/10.1007/978-3-319-10151-4_2-1

On the plastic driving force of grain boundary migration: A fully coupled phase field and crystal plasticity model

L. Zhao, P. Chakraborty, M.R. Tonks and I. Szlufarska
Computational Materials Science 128 320 (2017)
https://doi.org/10.1016/j.commatsci.2016.11.044

Three-dimensional phase-field model of dislocations for a heterogeneous face-centered cubic crystal

Antoine Ruffini, Yann Le Bouar and Alphonse Finel
Journal of the Mechanics and Physics of Solids 105 95 (2017)
https://doi.org/10.1016/j.jmps.2017.04.008

Analysis of interface kinetics: solutions of the Gibbs-Thomson-type equation and of the kinetic rate theory

A Salhoumi and P K Galenko
IOP Conference Series: Materials Science and Engineering 192 012014 (2017)
https://doi.org/10.1088/1757-899X/192/1/012014