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相关论文: A phase-field model for thermo-mechanical fracture…

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This study addresses ductile fracture of single grains in metals by modeling of the formation and propagation of transgranular cracks. A proposed model integrates gradient extended hardening, phase-field modeling for fracture, and crystal…

数值分析 · 数学 2024-11-01 Kim Louisa Auth , Jim Brouzoulis , Magnus Ekh

A thermodynamic approach to rapid phase transformations within a diffuse interface in a binary system is developed. Assuming an extended set of independent thermodynamic variables formed by the union of the classic set of slow variables and…

材料科学 · 物理学 2009-11-10 Peter Galenko , David Jou

Developing the non-equilibrium thermodynamics of friction is required for systematic design of low friction surfaces for a broad range of technological applications. Intuitively, the thermodynamic work done by a material sliding along a…

介观与纳米尺度物理 · 物理学 2019-11-07 Paola Carolina Torche , Tomas Polcar , Ondrej Hovorka

We address analytically and numerically the problem of crack path prediction in the model system of a crack propagating under thermal loading. We show that one can explain the instability from a straight to a wavy crack propagation by using…

材料科学 · 物理学 2009-09-01 F. Corson , M. Adda-Bedia , H. Henry , E. Katzav

In this paper, we propose a novel, thermodynamically consistent phase field model to simulate the deformation and breakup of a ferrodroplet that is immersed in a viscous medium and subject to an applied uniform magnetic field. Instead of…

流体动力学 · 物理学 2017-10-31 Feng Bai , Rui Li , Xiaofeng Yang , Xiaoming He , Cheng Wang

We propose a variational phase-field model of fracture capable of accounting for arbitrary closed convex strength domains. Unlike traditional models based on Ambrosio and Tortorelli regularization, the phase-field variable does not affect…

应用物理 · 物理学 2025-07-01 Blaise Bourdin , Jean-Jacques Marigo , Corrado Maurini , Camilla Zolesi

In this paper, a thermal-dynamical consistent model for mass transfer across permeable moving interfaces is proposed by using the energy variation method. We consider a restricted diffusion problem where the flux across the interface…

数值分析 · 数学 2022-06-15 Yuzhe Qin , Huaxiong Huang , Yi Zhu , Chun Liu , Shixin Xu

This work deals with numerical simulation of water freezing and thawing in a complex three-dimensional geometry of a porous medium. The porous structure is represented by a virtual container filled with glass beads. Phase transition…

计算物理 · 物理学 2024-07-23 Pavel Strachota

Recently, the phase field method has been increasingly used for brittle fractures in soft materials like polymers, elastomers, and biological tissues. When considering finite deformations to account for the highly deformable nature of soft…

材料科学 · 物理学 2024-08-22 S. Mohammad Mousavi , Ida Ang , Jason Mulderrig , Nikolaos Bouklas

Fracture is a very challenging and complicated problem with various applications in engineering and physics. Although it has been extensively studied within the context of mesh-based numerical techniques, such as the finite element method…

数值分析 · 数学 2022-06-28 Mohammad Naqib Rahimi , Georgios Moutsanidis

The developed computational approach is capable of initiating and propagating cracks inside materials and along material interfaces of general multi-domain structures under quasi-static conditions. Special attention is paid to particular…

计算工程、金融与科学 · 计算机科学 2023-08-23 Roman Vodička

A field theory is presented for predicting damage and fracture in quasi-brittle materials. The approach taken here is new and blends a non-local constitutive law with a two-point phase field. In this formulation, the material displacement…

材料科学 · 物理学 2025-10-07 Semsi Coskun , Davood Damircheli , Robert Lipton

In this work, we introduce a new Hybrid High-Order method for the numerical simulation of fracture propagation based on phase-field models. The proposed method supports general meshes made of polygonal/polyhedral elements, which provides…

Thermodynamic models are often vital when characterising complex systems, particularly natural gas, electrolyte, polymer, pharmaceutical and biological systems. However, their implementations have historically been abstruse and cumbersome,…

计算物理 · 物理学 2025-06-26 Pierre J. Walker , Hon-Wa Yew , Andrés Riedemann

This study uses continuum thermodynamics of pure thermoelastic fluids to examine their phase transformation. To examine phase transformation kinetics, a special emphasis is placed on the jump condition for the axiom of entropy inequality,…

统计力学 · 物理学 2022-07-29 Gerard A. Ateshian , Jay J. Shim

The classical phase-field modeling approaches for multiphase problems represent each phase using a regularized characteristic function, which necessarily introduces a simplex constraint for the phase-field variables. Additionally, the…

数值分析 · 数学 2025-11-11 Lun Zhang , Chenxi Wang , Nan Lu , Zhen Zhang

A thermodynamically consistent phase-field model is introduced for simulating multicellular deformation, and aggregation under flow conditions. In particular, a Lennard-Jones type potential is proposed under the phase-field framework for…

数值分析 · 数学 2022-05-17 Lingyue Shen , Ping Lin , Zhiliang Xu , Shixin Xu

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

This paper investigates the numerical modeling of a time-dependent heat transmission problem by the convolution quadrature boundary element method. It introduces the latest theoretical development into the error analysis of the numerical…

数值分析 · 数学 2017-11-08 Tianyu Qiu , Alexander Rieder , Francisco-Javier Sayas , Shougui Zhang

In the paper we present an isothermal model for describing damage and fatigue by the use of the Ginzburg-Landau (G-L) equation. Fatigue produces progressive damage, which is related with a variation of the internal structure of the…

数学物理 · 物理学 2014-10-28 Giovambattista Amendola , Mauro Fabrizio