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The microstructural geometry (MG) of materials has a significant influence on their macroscopic response, all the more when the process is essentially microscopic as for microstructural degradation processes. However, the MG tends to be…

地球物理 · 物理学 2019-07-02 Alexandre Guevel , Hadrien Rattez , Manolis Veveakis

Here, we review the basic concepts and applications of the phase-field-crystal (PFC) method, which is one of the latest simulation methodologies in materials science for problems, where atomic- and microscales are tightly coupled. The PFC…

The phase-field model (PFM) represents the crack geometry in a diffusive way without introducing sharp discontinuities. This feature enables PFM to effectively model crack propagation compared with numerical methods based on discrete crack…

计算工程、金融与科学 · 计算机科学 2019-02-18 Shuwei Zhou , Timon Rabczuk , Xiaoying Zhuang

Phase-field methods offer a versatile computational framework for simulating large-scale morphological evolution. However, the applicability and predictability of phase-field models are inherently limited by their ad hoc nature, and there…

材料科学 · 物理学 2025-10-30 Jaehyeok Jin , David R. Reichman

This paper presents an extension of the discrete element method using a phase-field formulation to incorporate grain shape and its evolution. The introduction of a phase variable enables an effective representation of grain geometry and…

材料科学 · 物理学 2024-04-09 Alexandre Sac-Morane , Manolis Veveakis , Hadrien Rattez

We extend the phase field crystal (PFC) framework to quantitative modeling of polycrystalline graphene. PFC modeling is a powerful multiscale method for finding the ground state configurations of large realistic samples that can be further…

The phase-field method is reviewed from the general perspective of converting a free boundary problem into a set of coupled partial differential equations. Its main advantage is that it avoids front tracking by using phase fields to locate…

In this work, we propose and test the validity of a modified Phase Field Method (PFM), which was specifically developed for large scale simulations of turbulent flows with large and deformable surfactant-laden droplets. The time evolution…

计算物理 · 物理学 2018-11-14 Giovanni Soligo , Alessio Roccon , Alfredo Soldati

Atomic-scale phase-field modeling formulates the probability densities of atomic vibrations as Gaussian distributions and derives a free energy functional using variational Gaussian theory and interatomic potentials. This framework permits…

材料科学 · 物理学 2025-09-17 Kairi Masuda , Yu Kumagai

Phase-Field Crystal (PFC) models are able to resolve atomic length scale features of materials during temporal evolution over diffusive time scales. Traditional PFC models contain solid and liquid phases, however many important materials…

材料科学 · 物理学 2015-06-16 Edwin J. Schwalbach , James A. Warren , Kuo-An Wu , Peter W. Voorhees

Computer simulations of the phenomenon of contact melting in binary alloys with chemical miscibility gap are performed on the basis of the phase field theory. Kinetics of the process is examined within the isothermal approximation, as a…

材料科学 · 物理学 2014-01-09 V. Kartuzov , O. Bystrenko

Phase field models have emerged as a powerful and flexible framework for simulating complex interface-driven phenomena across a wide range of scientific and engineering applications. In fracture mechanics, the phase field…

数值分析 · 数学 2025-06-23 Md Mamun Miah , Ryuhei Wakida , Masato Kimura

The Phase-Field Method (PFM) is employed to simulate two-phase flows with the fully-coupled Cahn-Hilliard-Navier-Stokes (CHNS) equations governing the temporal evolution. The methodology minimizes the total energy functional, accounting for…

流体动力学 · 物理学 2025-07-29 Ali Mostafavi , Mohammadmahdi Ranjbar , Vitaliy Yurkiv , Alexander L. Yarin , Farzad Mashayek

Elastic contact in hydrodynamic environments is a complex multiphysics phenomenon and can be found in applications ranging from engineering to biological systems. Understanding the intricacies of this coupled problem requires the…

流体动力学 · 物理学 2024-09-17 Biswajeet Rath , Xiaoyu Mao , Rajeev K. Jaiman

This paper presents an overview of the theories and computer implementation aspects of phase field models (PFM) of fracture. The advantage of PFM over discontinuous approaches to fracture is that PFM can elegantly simulate complicated…

地球物理 · 物理学 2023-09-11 X. Zhuang , S. Zhou , G. D. Huynh , P. Areias , T. Rabczuk

Understanding the interaction mechanics between graphene layers and co-axial carbon nanotubes (CNTs) is essential for modeling graphene and CNT-based nanoelectromechanical systems. This work proposes a new continuum contact model to study…

计算物理 · 物理学 2024-02-09 Aningi Mokhalingam , Shakti S. Gupta , Roger A. Sauer

This paper proposes a phase field model (PFM) for describing hydraulic fracture propagation in transversely isotopic media. The coupling between the fluid flow and displacement fields is established according to the classical Biot…

地球物理 · 物理学 2023-09-11 Shuwei Zhou , Xiaoying Zhuang

The present work proposes an approach for fluid-solid and contact interaction problems including thermo-mechanical coupling and reversible phase transitions. The solid field is assumed to consist of several arbitrarily-shaped, undeformable…

计算工程、金融与科学 · 计算机科学 2021-09-14 Sebastian L. Fuchs , Christoph Meier , Wolfgang A. Wall , Christian J. Cyron

We introduce a phase-field method for continuous modeling of cracks with frictional contacts. Compared with standard discrete methods for frictional contacts, the phase-field method has two attractive features: (1) it can represent…

数值分析 · 数学 2020-01-29 Fan Fei , Jinhyun Choo

We develop a phase-field model for evaporation from a porous medium by explicitly considering a vapor component together with the liquid and gas phases in the system. The phase-field model consists of the conservation of mass (for phases…

偏微分方程分析 · 数学 2024-07-26 Tufan Ghosh , Carina Bringedal , Christian Rohde , Rainer Helmig
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