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Fatigue crack growth is decisive for the design of thin-walled structures such as fuselage shells of air planes. The cold rolling process, used to produce the aluminium sheets this structure is made of, leads to anisotropic mechanical…

Over the past seven years, full-field analyses of a wide range of classical as well as modern quasi-static fracture experiments on nominally elastic brittle materials -- ranging from hard ceramics to soft elastomers -- have repeatedly…

材料科学 · 物理学 2024-11-26 Yangyuanchen Liu , Oscar Lopez-Pamies , John E. Dolbow

This paper analyses the problem of a semi-infinite fluid-driven fracture propagating through multiple stress layers in a permeable elastic medium. Such a problem represents the tip region of a planar hydraulic fracture. When the hydraulic…

地球物理 · 物理学 2023-05-23 A. V. Valov , E. V. Dontsov

Dynamic Mode III interfacial fracture in a dissimilar square-cell lattice, composed of two contrasting mass-spring lattice half-planes joined at an interface, is considered. The fracture, driven by a remotely applied load, is assumed to…

经典物理 · 物理学 2019-12-13 A. Piccolroaz , N. Gorbushin , G. S. Mishuris , M. J. Nieves

We prove a linearization result for quasistatic fracture evolution in nonlinear elasticity. As the stiffness of the material tends to infinity, we show that rescaled displacement fields and their associated crack sets converge to a solution…

偏微分方程分析 · 数学 2024-11-21 Manuel Friedrich , Pascal Steinke , Kerrek Stinson

Despite extensive theoretical treatment of short- to long-crack transitions, direct experimental quantification of how elastic and plastic energy contributions evolve at the crack tip during arrest has remained absent. In this study, we…

材料科学 · 物理学 2026-04-29 Abdalrhaman Koko , Bemin Sheen , Caitlin Green , Fionn Dunne

The dynamics of planar crack fronts in hetergeneous media near the critical load for onset of crack motion are investigated both analytically and by numerical simulations. Elasticity of the solid leads to long range stress transfer along…

无序系统与神经网络 · 物理学 2009-10-30 Sharad Ramanathan , Daniel S. Fisher

As shown by Wrobel et al. (2017), the hydraulically induced tangential traction on fracture walls changes local displacement and stress fields. This resulted in the formulation of a new hydraulic fracture (HF) propagation condition based on…

软凝聚态物质 · 物理学 2017-10-04 Monika Perkowska , Andrea Piccolroaz , Michal Wrobel , Gennady Mishuris

We derive an analytical expression for the strain field during steady-state crack propagation in viscoelastic solids described by the standard linear solid (Zener) model. This expression reveals three regions in the fracture profile and in…

软凝聚态物质 · 物理学 2026-01-01 Hokuto Nagatakiya , Naoyuki Sakumichi , Shunsuke Kobayashi , Ryuichi Tarumi

Fracture in quasi-statically driven systems is studied by means of a discrete spring-block model. Developed from close comparison with desiccation experiments, it describes crack formation induced by friction on a substrate. The model…

统计力学 · 物理学 2009-10-31 Kwan-tai Leung , Zoltan Neda

The technique of distributed dislocations proved to be in the past an effective approach in studying crack problems within classical elasticity. The present work is intended to extend this technique in studying crack problems within…

数学物理 · 物理学 2017-07-04 P. A. Gourgiotis , H. G. Georgiadis

We study experimentally the slow growth of a single crack in a fibrous material and observe stepwise growth dynamics. We model the material as a lattice where the crack is pinned by elastic traps and grows due to thermally activated stress…

统计力学 · 物理学 2009-11-10 Stephane Santucci , Loic Vanel , Sergio Ciliberto

We have studied the propagation of a crack front along the heterogeneous weak plane of a transparent poly(methyl methacrylate) (PMMA) block using two different loading conditions: imposed constant velocity and creep relaxation. We have…

无序系统与神经网络 · 物理学 2012-05-29 Ken Tore Tallakstad , Renaud Toussaint , Stéphane Santucci , Jean Schmittbuhl , Knut Jørgen Måløy

In this paper crack initiation, propagation and branching phenomena are simulated using the Pseudo-Spring Smooth Particle Hydrodynamics (SPH) in two and three-dimensional domains. The pseudo-spring analogy is used to model material damage.…

计算工程、金融与科学 · 计算机科学 2019-05-09 Md Rushdie Ibne Islam , Amit Shaw

A mathematical model for crack-tip fields is proposed in this paper for the response of a three-dimensional (3-D) porous elastic solid whose material moduli are dependent on the density. Such a description wherein the generalized Lam\`e…

数值分析 · 数学 2025-03-11 Kun Gou , S. M. Mallikarjunaiah

The dynamics of tensile crack fronts restricted to advance in a plane are studied. In an ideal linear elastic medium, a propagating mode along the crack front with a velocity slightly less than the Rayleigh wave velocity, is found to exist.…

无序系统与神经网络 · 物理学 2009-10-30 Sharad Ramanathan , Daniel S. Fisher

At present, there is an abundance of results showing that the phase-field approach to fracture in elastic brittle materials -- when properly accounting for material strength -- describes the \emph{nucleation} of fracture from large…

软凝聚态物质 · 物理学 2025-05-12 F. Kamarei , E. Breedlove , O. Lopez-Pamies

This letter addresses the issue of interfacial crack propagation mechanisms on various interfaces with using molecular dynamics. Four different interfacial crack propagation manners are recognized by MD simulations: 1, the crack propagates…

材料科学 · 物理学 2016-01-13 Yanguang Zhou , Zhenyu Yang , Tao Wang , Dayong Hu , Xiaobing Ma

Process zone at the tip of a propagating crack engendered by the stress-induced local phase transition of the second order is studied theoretically. We show that the zone can only exist within a certain domain of the phase diagram at one…

材料科学 · 物理学 2015-07-14 Alexei Boulbitch , Alexander L. Korzhenevskii

The shape of a crack front propagating through a thin sample is studied using a phase field model. The model is shown to have a well defined sharp interface limit. The crack front is found to be an ellipse with large axis the width of the…

材料科学 · 物理学 2010-12-07 Hervé Henry
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