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The scaling laws describing the roughness development of crack surfaces are incorporated into the Griffith criterion. We show that, in the case of a Family-Vicsek scaling, the energy balance leads to a purely elastic brittle behavior. On…

材料科学 · 物理学 2009-10-31 S. Morel , J. Schmittbuhl , E. Bouchaud , G. Valentin

The dynamics of a crack propagating in an elastic inhomogeneous material is investigated. The variations of the average crack velocity with the external loading are measured for a brittle rock and are shown to display two distinct regimes:…

统计力学 · 物理学 2008-12-18 Laurent Ponson

We study mode-I fracture in lattices with noisy bonds. In contrast to previous attempts, by using a small parameter that perturbs the force-law between the atoms in perfect lattices and using a 3-body force law, simulations reproduce the…

统计力学 · 物理学 2015-06-12 Shay I. Heizler , David A. Kessler , Yonatan S. Elbaz

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

A dynamic crack will travel in a straight path up to a material-dependent critical speed beyond which its path becomes erratic. Predicting this critical speed and discovering the origin of this instability are two outstanding problems in…

材料科学 · 物理学 2015-06-25 Farid F. Abraham

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

Bunching and meandering instability of steps at the 4H-SiC(0001) surface is studied by the kinetic Monte Carlo simulation method. Change in the character of step instability is analyzed for different rates of particle jumps towards step. In…

材料科学 · 物理学 2015-06-19 Filip Krzyzewski , Magdalena A. Zaluska-Kotur

We investigate phase-field modeling of brittle fracture in a one-dimensional bar featuring a continuous variation of elastic and/or fracture properties along its axis. Our main goal is to quantitatively assess how the heterogeneity in…

应用物理 · 物理学 2022-11-22 Francesco Vicentini , Pietro Carrara , Laura De Lorenzis

Recent theoretical and computational progress has led to unprecedented understanding of symmetry-breaking instabilities in 2D dynamic fracture. At the heart of this progress resides the identification of two intrinsic, near crack tip length…

材料科学 · 物理学 2021-05-24 Aditya Vasudevan , Yuri Lubomirsky , Chih-Hung Chen , Eran Bouchbinder , Alain Karma

Fracture processes are ubiquitous in soft materials, even in complex fluids, subjected to stresses. To investigate these processes in a simple geometry, we use a model self-assembled transient gel and study the instability patterns obtained…

软凝聚态物质 · 物理学 2013-07-26 Guillaume Foyart , Laurence Ramos , Serge Mora , Christian Ligoure

It has been observed experimentally that the actin gel grown from spherical beads coated with polymerization enzymes spontaneously breaks the symmetry of its spherical shape, and yields a ``comet'' pushing the bead forward. We propose a…

Steel is a key structural material because of its considerable strength and ductility. However, when exposed to hydrogen, it is prone to embrittlement. Mechanistic understanding of the origin of hydrogen embrittlement is hampered by the…

材料科学 · 物理学 2025-12-16 Aleksei Egorov , Lei Zhang , Erik van der Giessen , Francesco Maresca

We study the high-velocity regime mode-I fracture instability when small microbranches start to appear near the main crack, using large scale simulations. Some of the features of those microbranches have been reproduced qualitatively in…

统计力学 · 物理学 2015-07-13 Shay I. Heizler , David A. Kessler

A variational discrete element method is applied to simulate quasi-static crack propagation. Cracks are considered to propagate between the mesh cells through the mesh facets. The elastic behaviour is parametrized by the continuous…

数值分析 · 数学 2022-02-18 Frédéric Marazzato , Alexandre Ern , Laurent Monasse

An original setup combining a very stable loading stage, an atomic force microscope and an environmental chamber, allows to obtain very stable sub-critical fracture propagation in oxide glasses under controlled environment, and subsequently…

Using a two dimensional lattice model we investigate the crack growth under the influence of remote tensile forces as well as due to an internally applied pressure (hydraulic fracturing). For homogeneous elastic properties we present…

凝聚态物理 · 物理学 2008-12-18 Frank Tzschichholz

We explore the Mode I fracture toughness of a polymer gel containing a semi-infinite, growing crack. First, an expression is derived for the energy release rate within the linearized, small-strain setting. This expression reveals a crack…

软凝聚态物质 · 物理学 2016-05-09 Giovanni Noselli , Alessandro Lucantonio , Robert M. McMeeking , Antonio DeSimone

In this paper, we'll answer several abstract, formal questions about the nature of crack growth and nucleation. Bringing a field theory point of view to fracture illuminates things in what I hope will be an entertaining way. Formally, what…

材料科学 · 物理学 2007-05-23 James P. Sethna

Crack propagations in quasi-static fracture are studied theoretically. The Griffith theory is applied to discuss a crack extension condition and motion of crack tips in straight propagations. Stability of the straight propagations is…

patt-sol · 物理学 2009-10-22 Shin-ichi Sasa , Ken Sekimoto

The morphology of fracture surfaces encodes the various complex damage and fracture processes occurring at the microstructure scale that have lead to the failure of a given heterogeneous material. Understanding how to decipher this…

统计力学 · 物理学 2009-11-11 Laurent Ponson , Daniel Bonamy , Elisabeth Bouchaud