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Phase-field approaches to fracture based on energy minimization principles have been rapidly gaining popularity in recent years, and are particularly well-suited for simulating crack initiation and growth in complex fracture networks. In…

材料科学 · 物理学 2018-03-14 Juan Michael Sargado , Eirik Keilegavlen , Inga Berre , Jan Martin Nordbotten

We study a class of models for brittle fracture: elastic theory models which allow for cracks but not for plastic flow. We show that these models exhibit, at all finite temperatures, a transition to fracture under applied load similar to…

材料科学 · 物理学 2009-10-28 Alex Buchel , James P. Sethna

We investigate dynamic fracture of heterogeneous materials experimentally by measuring displacement fields as a rupture propagates through a periodic array of obstacles of controlled fracture energy. Our measurements demonstrate the…

软凝聚态物质 · 物理学 2021-07-21 Gabriele Albertini , Mathias Lebihain , François Hild , Laurent Ponson , David S. Kammer

We report results on the interrelation between driving force, roughness exponent, branching and crack speed in a finite element model. We show that for low applied loadings the crack speed reaches the values measured in the experiments, and…

材料科学 · 物理学 2007-05-23 Andrea Parisi , Robin C. Ball

Fatigue fracture is one of the main causes of failure in structures. However, the simulation of fatigue crack growth is computationally demanding due to the large number of load cycles involved. Metals in the low cycle fatigue range often…

计算物理 · 物理学 2024-11-11 Martha Kalina , Tom Schneider , Haim Waisman , Markus Kästner

Crack propagation is studied numerically using a continuum phase-field approach to mode III brittle fracture. The results shed light on the physics that controls the speed of accelerating cracks and the characteristic branching instability…

材料科学 · 物理学 2009-11-10 Alain Karma , Alexander E. Lobkovsky

A novel phase-field for ductile fracture model is presented. The model is developed within a consistent variational framework in the context of finite-deformation kinematics. A novel coalescence dissipation introduces a new coupling…

材料科学 · 物理学 2021-03-24 Tianchen Hu , Brandon Talamini , Andrew J. Stershic , Michael R. Tupek , John E. Dolbow

Disorder and long-range interactions are two of the key components that make material failure an interesting playfield for the application of statistical mechanics. The cornerstone in this respect has been lattice models of the fracture in…

统计力学 · 物理学 2009-11-11 Mikko J. Alava , Phani K. V. V. Nukala , Stefano Zapperi

The problem of dynamic symmetric branching of an initial single brittle crack propagating at a given speed under plane loading conditions is studied within a continuum mechanics approach. Griffith's energy criterion and the principle of…

材料科学 · 物理学 2007-05-23 E. Katzav , M. Adda-Bedia , R. Arias

Brittle materials exhibit sharp dynamical fractures when meeting Griffith's criterion, whereas ductile materials blunt a sharp crack by plastic responses. Upon continuous pulling ductile materials exhibit a necking instability which is…

统计力学 · 物理学 2012-07-12 Olivier Dauchot , Smarajit Karmakar , Itamar Procaccia , Jacques Zylberg

We study the dynamics of topological defects in continuum theories governed by a free energy minimization principle, building on our recently developed framework [Romano J, Mahault B and Golestanian R 2023 J. Stat. Mech.: Theory Exp.…

软凝聚态物质 · 物理学 2024-02-26 Jacopo Romano , Benoît Mahault , Ramin Golestanian

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

Dynamic fracture in a wide class of materials reveals "fracture energy" $\Gamma$ much larger than the expected nominal surface energy due to the formation of two fresh surfaces. Moreover, the fracture energy depends on the crack velocity,…

材料科学 · 物理学 2009-11-11 Eran Bouchbinder , Anna Pomyalov , Itamar Procaccia

The dynamic fragmentation of residually stressed solids involves a complex interplay between stored elastic energy, stress wave propagation, and crack instabilities. In this work, we investigate the fracture mechanics of chemically…

软凝聚态物质 · 物理学 2026-02-25 Vineet Dawara , Koushik Viswanathan

This paper presents a modeling framework to describe the driving mechanisms of cyclic failure in brittle and ductile materials, including cyclic plasticity and fatigue crack growth. A variational model is devised using the energetic…

数值分析 · 数学 2020-11-10 Jacinto Ulloa , Jef Wambacq , Roberto Alessi , Geert Degrande , Stijn François

Unstable growth of cracks (rough crack surface and crack branching) in dynamic fracture has long been observed in various materials. Until now, there was no universally agreed upon explanation for these instabilities. Here, we demonstrate…

软凝聚态物质 · 物理学 2019-12-02 Chuang-Shi Shen

Adequate representations of brittle deformation (fracturing and faulting) are essential ingredients of long term tectonic simulations. Such models commonly rely on Mohr Coulomb plasticity coupled with prescribed softening of cohesion and/or…

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

We briefly review a number of important recent experimental and theoretical developments in the field of dynamic fracture. Topics include experimental validation of the equations of motion for straight tensile cracks (in both infinite media…

材料科学 · 物理学 2016-02-12 Jay Fineberg , Eran Bouchbinder

We introduce a class of models based on near crack tip degradation of materials that can account for fracture growth under cyclic loads below the Griffith threshold. We incorporate the gradual degradation due to a cyclic load through a flow…

材料科学 · 物理学 2019-06-26 Ataollah Mesgarnejad , Anahita Imanian , Alain Karma