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The phase field paradigm, in combination with a suitable variational structure, has opened a path for using Griffith's energy balance to predict the fracture of solids. These so-called phase field fracture methods have gained significant…

计算工程、金融与科学 · 计算机科学 2022-03-08 P. K. Kristensen , C. F. Niordson , E. Martínez-Pañeda

We present a novel computational framework to simulate the electromechanical response of self-sensing carbon nanotube (CNT)-based composites experiencing fracture. The computational framework combines electrical-deformation-fracture finite…

计算工程、金融与科学 · 计算机科学 2023-02-22 L. Quinteros , E. García-Macías , E. Martínez-Pañeda

This work presents a new adaptive approach for the numerical simulation of a phase-field model for fractures in nearly incompressible solids. In order to cope with locking effects, we use a recently proposed mixed form where we have a…

数值分析 · 数学 2021-06-18 Katrin Mang , Mirjam Walloth , Thomas Wick , Winnifried Wollner

Most of the lattice Boltzmann methods simulate an approximation of the sharp interface problem of dissolution and precipitation. In such studies the curvature-driven motion of interface is neglected in the Gibbs-Thomson condition. In order…

计算工程、金融与科学 · 计算机科学 2022-02-07 Téo Boutin , Werner Verdier , Alain Cartalade

Conformal field theories (CFTs) feature prominently in high-energy physics, statistical mechanics, and condensed matter. For example, CFTs govern emergent universal properties of systems tuned to quantum phase transitions, including their…

A computational method is developed for the study of mechanical response and fracture behavior of phase field crystals (PFC), to overcome a limitation of the PFC dynamics which lacks an effective mechanism for describing fast mechanical…

材料科学 · 物理学 2019-01-04 Wenquan Zhou , Jincheng Wang , Zhijun Wang , Zhi-Feng Huang

This work outlines a diffuse interface method for the study of fracture and fragmentation in ductile metals at high strain-rates in Eulerian finite volume simulations. The work is based on an existing diffuse interface method capable of…

计算物理 · 物理学 2022-10-11 Tim Wallis , Philip T. Barton , Nikolaos Nikiforakis

In this work, we develop a combined convolutional neural networks (CNNs) and finite element method (FEM) to examine the effective thermal properties of composite phase change materials (CPCMs) consisting of paraffin and copper foam. In this…

计算物理 · 物理学 2021-03-25 Felix Kolodziejczyk , Bohayra Mortazavi , Timon Rabczuk , Xiaoying Zhuang

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

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

The phase field method has gathered significant attention in the past decade due to its versatile applications in engineering contexts, including fatigue crack propagation modeling. Particularly, the phase field cohesive zone method…

计算工程、金融与科学 · 计算机科学 2024-02-06 A. Baktheer , E. Martínez-Pañeda , F. Aldakheel

In this contribution we investigate the application of phase-field fracture models on non-linear multiscale computational homogenization schemes. In particular, we introduce different phase-fields on a two-scale problem and develop a…

计算工程、金融与科学 · 计算机科学 2023-12-21 Felix Schmidt , Stefan Schuß , Christian Hesch

The phase field fracture method is attracting significant interest. Phase field approaches have enabled predicting - on arbitrary geometries and dimensions - complex fracture phenomena such as crack branching, coalescence, deflection and…

计算工程、金融与科学 · 计算机科学 2021-04-19 Yousef Navidtehrani , Covadonga Betegón , Emilio Martínez-Pañeda

In this paper, a core-shell enhanced single particle model for iron-phosphate battery cells is formulated, implemented, and verified. Starting from the description of the positive and negative electrodes charge and mass transport dynamics,…

系统与控制 · 电气工程与系统科学 2022-09-26 Gabriele Pozzato , Aki Takahashi , Xueyan Li , Donghoon Lee , Johan Ko , Simona Onori

The application of hybrid composites in lightweight engineering enables the combination of material-specific advantages of fiber-reinforced polymers and classical metals. The interface between the connected materials is of particular…

应用物理 · 物理学 2021-08-19 Franz Hirsch , Erik Natkowski , Markus Kästner

We present a comprehensive study of the effective Conformal Field Theory (CFT) describing the low energy excitations of a gas of spinless interacting fermions on a circle in the gapless regime (Luttinger liquid). Functional techniques and…

介观与纳米尺度物理 · 物理学 2009-10-30 P. Degiovanni , Ch. Chaubet , R. Melin

Discrete fracture models with reduced-dimensional treatment of conductive and blocking fractures are widely used to simulate fluid flow in fractured porous media. Among these, numerical methods based on interface models are intensively…

数值分析 · 数学 2024-05-14 Yong Liu , Ziyao Xu

We present a collision model for particle-particle and particle-wall interactions in interface-resolved simulations of particle-laden flows. Three types of inter-particle interactions are taken into account: (1) long- and (2) short-range…

流体动力学 · 物理学 2021-02-23 Pedro Costa , Bendiks Jan Boersma , Jerry Westerweel , Wim-Paul Breugem

Are the cohesive laws of interfaces sufficient for modelling fracture in polycrystals using the cohesive zone model? We examine this question by comparing a fully atomistic simulation of a silicon polycrystal to a finite element simulation…

We address in this review unified analysis of phase-field models for cohesive fracture. Aiming to regularize the Barenblatt (1959) cohesive zone model, all the discussed models are distinguished by three characteristic functions, i.e., the…

材料科学 · 物理学 2024-12-06 Jian-Ying Wu