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We present a new multiphase-field theory for describing pattern formation in multi-domain and/or multi-component systems. The construction of the free energy functional and the dynamic equations is based on criteria that ensure mathematical…

材料科学 · 物理学 2015-12-09 Gyula I. Toth , Tamas Pusztai , Laszlo Granasy

There is a growing interest in the study of coupled plasma-liquid systems because of their applications to biomedicine, biological and chemical disinfection, agriculture, and other areas. Without an understanding of the near-surface gas…

等离子体物理 · 物理学 2016-06-22 Alexander Lindsay , David Graves , Steven Shannon

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…

Numerical simulation of multiphase compositional flow in fractured porous media, when all the species can transfer between the phases, is a real challenge. Despite the broad applications in hydrocarbon reservoir engineering and hydrology, a…

计算物理 · 物理学 2015-06-15 Joachim Moortgat , Abbas Firoozabadi

In this work, a recently proposed high-cycle fatigue cohesive zone model, which covers crack initiation and propagation with limited input parameters, is embedded in a robust and efficient numerical framework for simulating progressive…

计算工程、金融与科学 · 计算机科学 2023-12-14 Pieter Hofman , Frans Paul van der Meer , Lambertus Johannes Sluys

A new discrete cohesive zone model (DCZM) is presented for modeling the interface behavior of adhesive-bonded thin laminates and sandwich panels. The proposed model treats the interface as a spring element and the adherent as a beam…

计算物理 · 物理学 2024-10-04 Himanshu , Ananth Ramaswamy

The ab-initio computational treatment of electrochemical systems requires an appropriate treatment of the solid/liquid interfaces. A fully quantum mechanical treatment of the interface is computationally demanding due to the large number of…

The existence of passivating layers at the interfaces is a major factor enabling modern lithium-ion (Li-ion) batteries. Their properties determine the cycle life, performance, and safety of batteries. A special case is the solid electrolyte…

化学物理 · 物理学 2021-06-07 Zeeshan Ahmad , Victor Venturi , Hasnain Hafiz , Venkatasubramanian Viswanathan

This article gives a comprehensive description of the fractal geometry of conformally-invariant (CI) scaling curves, in the plane or half-plane. It focuses on deriving critical exponents associated with interacting random paths, by…

数学物理 · 物理学 2007-05-23 Bertrand Duplantier

Exciton dissociation at heterojunctions in photovoltaic devices is not completely understood despite being fundamentally necessary to generate electrical current. One of the fundamental issues for ab initio calculations is that hybrid…

介观与纳米尺度物理 · 物理学 2017-06-20 Michael J. Waters , Daniel Hashemi , John Kieffer

In this work, we describe our contribution to the Purdue-SANDIA-LLNL \emph{Damage Mechanics Challenge}. The phase field fracture model is adopted to blindly estimate the failure characteristics of the challenge test, an unconventional…

计算工程、金融与科学 · 计算机科学 2024-03-28 Y. Navidtehrani , R. Duddu , E. Martínez-Pañeda

Engineering alloys generally exhibit multi-phase microstructures. For simulating their microstructure evolution during solid-state phase transformation, CALPHAD-guided multi-phase-field models coupled with micro-mechanics have proven to be…

材料科学 · 物理学 2023-01-05 Sourav Chatterjee , Daniel Schwen , Nele Moelans

We introduce a phenomenological continuum model for mode III dynamic fracture that is based on the phase-field methodology used extensively to model interfacial pattern formation. We couple a scalar field, which distinguishes between…

软凝聚态物质 · 物理学 2009-11-07 Alain Karma , David A. Kessler , Herbert Levine

The wide adoption of thermoplastic composites to reduce weight in structural parts requires reliable numerical methods to account for debonding between overmolded parts. Although cohesive elements are effective for debonding, the need for…

计算工程、金融与科学 · 计算机科学 2026-03-31 Sérgio G. F. Cordeiro , Boyang Chen , Frans P. van der Meer

A simple model is proposed for the direct correlation function (DCF) for simple fluids consisting of a hard-core contribution, a simple parametrized core correction, and a mean-field tail. The model requires as input only the free energy of…

统计力学 · 物理学 2007-10-08 James F. Lutsko

A singularly perturbed phase field model used to model lithium-ion batteries including chemical and elastic effects is considered. The underlying energy is given by $$I_\epsilon [u,c ] := \int_\Omega \left( \frac{1}{\epsilon} f(c) +…

偏微分方程分析 · 数学 2021-02-24 Kerrek Stinson

Large-scale molecular simulations are performed to investigate tensile failure of polymer interfaces as a function of welding time $t$. Changes in the tensile stress, mode of failure and interfacial fracture energy $G_I$ are correlated to…

软凝聚态物质 · 物理学 2014-10-09 Ting Ge , Gary S. Grest , Mark O. Robbins

For two dimensional conformal field theories in the ground state, it is known that a conformal interface along the entanglement cut can suppress the entanglement entropy from $S_A\sim c\log L$ to $S_A\sim c_{\text{eff}}\log L$, where $L$ is…

强关联电子 · 物理学 2018-05-09 Xueda Wen , Yuxuan Wang , Shinsei Ryu

Atomistic modeling of solid-solid battery interfaces is essential for understanding electro-chemo-mechanical coupling, but the complex interfacial chemistry and heterogeneous environments pose major challenges for quantum-accurate,…

Recent years have seen a significant interest in using phase field approaches to model hydraulic fracture, so as to optimise a process that is key to industries such as petroleum engineering, mining and geothermal energy extraction. Here,…

计算工程、金融与科学 · 计算机科学 2025-06-24 Y. Navidtehrani , C. Betegón , J. Vallejos , E. Martínez-Pañeda