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The unified 3D phase-field model for the description of the lithium-ion cell as a whole is developed. The model takes into account the realistic distribution of particles in porous electrodes, percolative transport of ions, and the…

无序系统与神经网络 · 物理学 2021-05-11 Pavel E. L'vov , Mikhail Yu. Tikhonchev , Renat T. Sibatov

Alumina and aluminum oxyhydroxides underpin chemical-engineering technologies from heterogeneous catalysis, corrosion protection, functional coatings, energy-storage devices, to biomedical components. Yet molecular models that predictively…

This paper concludes a three-part effort aimed at developing a consistent and unified framework for the phase-field modeling of cohesive fracture. Building on the theoretical foundations established in the first two parts, which included a…

偏微分方程分析 · 数学 2025-07-31 Roberto Alessi , Francesco Colasanto , Matteo Focardi

In this paper we investigate a rate--independent model for hybrid laminates described by a damage phase--field approach on two layers coupled with a cohesive law governing the behaviour of their interface in a one-dimensional setup. For the…

偏微分方程分析 · 数学 2021-05-25 Elena Bonetti , Cecilia Cavaterra , Francesco Freddi , Filippo Riva

In this paper, we introduce an interfacial profile-preserving approach for phase field modeling for simulating incompressible two-phase flows. While the advective Cahn-Hilliard equation effectively captures the topological evolution of…

流体动力学 · 物理学 2023-10-03 Haohao Hao , Xiangwei Li , Chenglin Jiang , Huanshu Tan

An effective computational framework of an anisotropic phase field model is used to explore the effects of interface properties, effective critical energy release rates and hole shapes on the failure process of fibre-reinforced composites…

材料科学 · 物理学 2022-12-06 Yuanfeng Yu , Xiaoya Zheng , Peng Li , Jinyou Xiao

In this work, we developed a bond-based cohesive peridynamics model (CPDM) and apply it to simulate inelastic fracture by using the meso-scale Xu-Needleman cohesive potential . By doing so, we have successfully developed a bond-based…

材料科学 · 物理学 2022-05-18 Jing Han , Shaofan Li , Haicheng Yu , Jun Li , A-Man Zhang

Standard phase-field fracture methods are rooted in brittle fracture theory and therefore do not inherently prescribe a material strength for crack nucleation, while also struggling to capture cohesive fracture behaviour. Recent…

计算工程、金融与科学 · 计算机科学 2026-05-27 Tim Hageman

Charge Coupled Devices (CCDs) have been successfully used in several high energy physics experiments over the past two decades. Their high spatial resolution and thin sensitive layers make them an excellent tool for studying short-lived…

We compare the accuracy, convergence rate and computational cost of eigenerosion (EE) and phase-field (PF) methods. For purposes of comparison, we specifically consider the standard test case of a center-crack panel loaded in biaxial…

数值分析 · 数学 2021-09-01 Anna Pandolfi , Kerstin Weinberg , Michael Ortiz

We investigate the fracture of Li-ion battery cathodic particles using a thermodynamically consistent phase-field approach that can describe arbitrarily complex crack paths and captures the full coupling between Li-ion diffusion, stress,…

材料科学 · 物理学 2019-08-23 Ataollah Mesgarnejad , Alain Karma

We review recent simulation studies of interfaces between immiscible homopolymer phases. Special emphasis is given to the presentation of efficient simulation techniques and powerful methods of data analysis, such as the analysis of…

软凝聚态物质 · 物理学 2016-11-03 M. Mueller , F. Schmid

The phase field fracture method has emerged as a promising computational tool for modelling a variety of problems including, since recently, hydrogen embrittlement and stress corrosion cracking. In this work, we demonstrate the potential of…

应用物理 · 物理学 2020-11-17 P. K. Kristensen , C. F. Niordson , E. Martínez-Pañeda

We present a thermodynamic theory of plane coherent solid-solid interfaces in multicomponent systems subject to nonhydrostatic mechanical stresses. The interstitial and substitutional chemical components are treated separately using…

材料科学 · 物理学 2013-04-02 T. Frolov , Y. Mishin

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

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

Gapless quantum phases can become distinct when internal symmetries are enforced, in analogy with gapped symmetry-protected topological (SPT) phases. However, this distinction does not always lead to protected edge modes, raising the…

强关联电子 · 物理学 2025-12-30 Saranesh Prembabu , Shu-Heng Shao , Ruben Verresen

A novel thermodynamically consistent diffuse interface model is derived for compressible electrolytes with phase transitions. The fluid mixtures may consist of N constituents with the phases liquid and vapor, where both phases may coexist.…

偏微分方程分析 · 数学 2014-11-13 Wolfgang Dreyer , Jan Giesselmann , Christiane Kraus

We propose a hybrid continuum surface force (CSF) formulation to model the interface interaction within the three-phase volume of fluid (VOF) method. Instead of employing the height function globally, we compute the curvature based on a…

流体动力学 · 物理学 2023-10-24 Chunheng Zhao , Jacob Maarek , Seyed Mohammadamin Taleghani , Stephane Zaleski

Second-order phase field models have emerged as an attractive option for capturing the advection of interfaces in two-phase flows. Prior to these, state-of-the-art models based on the Cahn-Hilliard equation, which is a fourth-order…

流体动力学 · 物理学 2022-12-14 Shahab Mirjalili , Makrand A Khanwale , Ali Mani