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The dynamics of planar crack fronts in heterogeneous media is studied using a recently proposed stochastic equation of motion that takes into account nonlinear effects. The analysis is carried for a moving front in the quasi-static regime…

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

Brittle solids are often toughened by adding a second-phase material. This practice often results in composites with material heterogeneities on the meso scale: large compared to the scale of the process zone but small compared to that of…

材料科学 · 物理学 2024-02-20 Liuchi Li , Jack Rao , Todd Hufnagel , KT Ramesh

Over the past few decades, the phase-field method for fracture has seen widespread appeal due to the many benefits associated with its ability to regularize a sharp crack geometry. Along the way, several different models for including the…

计算工程、金融与科学 · 计算机科学 2023-05-15 Andre Costa , Tianchen Hu , John Dolbow

We study how the loading rate, specimen geometry and microstructural texture select the dynamics of a crack moving through an heterogeneous elastic material in the quasi-static approximation. We find a transition, fully controlled by two…

统计力学 · 物理学 2013-09-23 Jonathan Barés , Luc Barbier , Daniel Bonamy

The properties of slow crack growth in brittle materials are analyzed both theoretically and experimentally. We propose a model based on a thermally activated rupture process. Considering a 2D spring network submitted to an external load…

材料科学 · 物理学 2009-11-13 Stéphane Santucci , Loic Vanel , Sergio Ciliberto

We study the relation between a threshold-force based model at the microscopic scale and mode I fracture at the macroscopic scale in a system of discrete interacting springs. Specifically, we idealize the contact between two surfaces as…

软凝聚态物质 · 物理学 2016-06-13 Srivatsan Hulikal , Kaushik Bhattacharya , Nadia Lapusta

The mechanical behavior of composite materials is significantly influenced by their structure and constituent materials. One emerging class of composite materials is irregular network reinforced composites (NRC's), whose reinforcing phase…

软凝聚态物质 · 物理学 2025-10-14 Chelsea Fox , Tommaso Magrini , Chiara Daraio

Soft constituent materials endow biological composites, such as bone, dentin and nacre, with viscoelastic properties that may play an important role in their remarkable fracture resistance. In this paper we calculate the scaling properties…

材料科学 · 物理学 2015-05-27 Eran Bouchbinder , Efim A. Brener

The shear strength and stick-slip behavior of a rough rock joint are analyzed using the complex network approach. We develop a network approach on correlation patterns of void spaces of an evolvable rough fracture (crack type II).…

地球物理 · 物理学 2012-09-21 Hamed O. Ghaffari , M. Sharifzadeh , E. Evgin

This study presents the formulation, the numerical solution, and the validation of a theoretical framework based on the concept of variable-order mechanics and capable of modeling dynamic fracture in brittle and quasi-brittle solids. More…

材料科学 · 物理学 2020-08-26 Sansit Patnaik , Fabio Semperlotti

In this paper we derive a new two-dimensional brittle fracture model for thin shells via dimension reduction, where the admissible displacements are only normal to the shell surface. The main steps include to endow the shell with a small…

数值分析 · 数学 2020-04-21 Stefano Almi , Sandro Belz , Stefano Micheletti , Simona Perotto

Differential shrinkage in particulate quasi-brittle materials causes microcracking which reduces durability in these materials by increasing their mass transport properties. A hydro-mechanical three-dimensional periodic network approach was…

材料科学 · 物理学 2017-10-13 Ignatios Athanasiadis , Simon J. Wheeler , Peter Grassl

We introduce a lattice model able to describe damage and yielding in heterogeneous materials ranging from brittle to ductile ones. Ductile fracture surfaces, obtained when the system breaks once the strain is completely localized, are shown…

材料科学 · 物理学 2010-10-18 Clara B. Picallo , Juan M. López , Stefano Zapperi , Mikko J. Alava

Using an elastostatic description of crack growth based on the Griffith criterion and the principle of local symmetry, we present a stochastic model describing the propagation of a crack tip in a 2D heterogeneous brittle material. The model…

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

When fast cracks become unstable to microscopic branching (micro-branching), fracture no longer occurs in an effective 2D medium. We follow in-plane crack front dynamics via real-time measurements in brittle gels as micro-branching unfolds…

材料科学 · 物理学 2015-05-19 Itamar Kolvin , Gil Cohen , Jay Fineberg

We address the velocity fluctuations of fastly moving cracks in stressed materials. One possible mechanism for such fluctuations is the interaction of the main crack with micro cracks (irrespective whether these are existing material…

材料科学 · 物理学 2007-05-23 E. Bouchbinder , D. Kessler , I. Procaccia

Size effects have been predicted at the micro- or nano-scale for porous ductile materials from Molecular Dynamics, Discrete Dislocation Dynamics and Continuum Mechanics numerical simulations, as a consequence of Geometrically Necessary…

材料科学 · 物理学 2019-10-29 J. M. Scherer , J. Hure

Predicting when rupture occurs or cracks progress is a major challenge in numerous elds of industrial, societal and geophysical importance. It remains largely unsolved: Stress enhancement at cracks and defects, indeed, makes the macroscale…

软凝聚态物质 · 物理学 2017-11-21 Daniel Bonamy

The growth of ballistic aggregates on deterministic fractal substrates is studied by means of numerical simulations. First, we attempt the description of the evolving interface of the aggregates by applying the well-established…

统计力学 · 物理学 2009-11-13 Claudio M. Horowitz , Federico Roma , Ezequiel V. Albano

Voids are one of the many material defects present at the microscopic length scale. They are primarily responsible for the formation of cracks and hence contribute to ductile fracture. Circular voids tend to deform into elliptical voids…

应用物理 · 物理学 2025-12-12 Muhammad Usman , Sana Waheed , Aamir Mubashar
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