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Tracer diffusion and hydrodynamic dispersion in two-dimensional fractures with self-affine roughness is studied by analytic and numerical methods. Numerical simulations were performed via the lattice-Boltzmann approach, using a new boundary…

Statistical Mechanics · Physics 2016-08-31 German Drazer , Joel Koplik

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…

Materials Science · Physics 2007-05-23 E. Katzav , M. Adda-Bedia , B. Derrida

Fracture is a fundamental mechanism of materials failure. Propagating cracks can exhibit a rich dynamical behavior controlled by a subtle interplay between microscopic failure processes in the crack tip region and macroscopic elasticity. We…

Materials Science · Physics 2015-05-18 R. Spatschek , E. Brener , A. Karma

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…

Disordered Systems and Neural Networks · Physics 2012-05-29 Ken Tore Tallakstad , Renaud Toussaint , Stéphane Santucci , Jean Schmittbuhl , Knut Jørgen Måløy

In fracture mechanics, polyacrylamide hydrogels have been widely used as a model material for experiments, benefited from its optical transparency, fracture brittleness, and low Rayleigh wave velocity. To describe the brittle fracture in…

Soft Condensed Matter · Physics 2024-05-06 Chenzhuo Li , Danila Zubko , Damien Delespaul , John M. Kolinski

Understanding the role played by the microstructure of materials on their macroscopic failure properties is an important challenge in solid mechanics. Indeed, when a crack propagates at a heterogeneous brittle interface, the front is…

Materials Science · Physics 2015-11-09 Sylvain Patinet , L Alzate , E Barthel , D Dalmas , D Vandembroucq , V Lazarus

The two-dimensional oscillatory crack instability, experimentally observed in a class of brittle materials under strongly dynamic conditions, has been recently reproduced by a nonlinear phase-field fracture theory. Here we highlight the…

Soft Condensed Matter · Physics 2018-10-03 Yuri Lubomirsky , Chih-Hung Chen , Alain Karma , Eran Bouchbinder

Fracture material is seriously problem in daily life, and it has connection with mechanical properties itself. The mechanical properties is belief depend on dislocation movement and crack propagation in the crystal. Information about this…

Computational Physics · Physics 2012-12-04 Suprijadi , Ely Aprilia , Meiqorry Yusfi

Crack initiation and propagation under high-cycle fatigue conditions have been investigated for a polycrystalline Ni-based superalloy by in-situ synchrotron assisted diffraction and phase contrast tomography. The cracks nucleated along the…

Materials Science · Physics 2018-11-27 M. Jiménez , W. Ludwig , D. Gonzalez , J. M. Molina-Aldareguia

Miscible tracer dispersion measurements in transparent model fractures with different types of wall roughness are reported. The nature (Fickian or not) of dispersion is determined by studying variations of the mixing front as a function of…

We studied the low speed fracture regime (0.1mm/s - 1nm/s) in different glassy materials (soda-lime glass, glass-ceramics) with variable but controlled length scale of heterogeneity. The chosen mechanical system enabled us to work in pure…

Statistical Mechanics · Physics 2009-11-07 C. Marliere , F. Despetis , J. Phalippou

Crack initiation emerges due to a combination of elasticity, plasticity, and disorder, and it is heavily dependent on the material's microstructural details. In this paper, we investigate brittle metals with coarse-grained, microstructural…

Materials Science · Physics 2017-07-17 S. Papanikolaou , J. Thibault , C. Woodward , P. Shanthraj , F. Roters

As a consequence of shearing, wing cracks can emerge from pre-existing fractures. The process involves the interaction of sliding of the existing fracture surfaces and the tensile material failure that creates wing cracks. This work devises…

Numerical Analysis · Mathematics 2020-09-11 Hau Dang-Trung , Eirik Keilegavlen , Inga Berre

Fracture propagation is highly sensitive to the conditions at the crack tip. In heterogeneous materials, microscale obstacles can cause propagation instabilities. Macroscopic heterogeneities modify the stress field over scales larger than…

Fluid Dynamics · Physics 2024-07-16 Sri Savya Tanikella , Marie C Sigallon , Emilie Dressaire

We study propagating mode-I fracture in two dimensional amorphous materials using atomistic simulations. We used the continuous random network (CRN) model of an amorphous material, creating samples using a two dimensional analogue of the…

Materials Science · Physics 2015-05-20 Shay I Heizler , David A. Kessler , Herbert Levine

The dynamics and stability of brittle cracks are not yet fully understood. Here we use the Willis-Movchan 3D linear perturbation formalism [J. Mech. Phys. Solids {\bf 45}, 591 (1997)] to study the out-of-plane stability of planar crack…

Materials Science · Physics 2015-06-11 Mokhtar Adda-Bedia , Rodrigo E. Arias , Eran Bouchbinder , Eytan Katzav

We present a continuum theory which describes the fast growth of a crack by surface diffusion. This mechanism overcomes the usual cusp singularity by a self-consistent selection of the crack tip radius. It predicts the saturation of the…

Materials Science · Physics 2009-11-07 Efim A. Brener , Robert Spatschek

Fracture is the ultimate source of failure of amorphous carbon (a-C) films, however it is challenging to measure fracture properties of a-C from nano-indentation tests and results of reported experiments are not consistent. Here, we use…

Materials Science · Physics 2021-02-17 S. Mostafa Khosrownejad , James R. Kermode , Lars Pastewka

We study the dynamics of cracks in brittle materials when the velocity of the crack is comparable to the sound velocity by means of lattice simulations. Inertial and damped dynamics are analyzed. It is shown that dissipation strongly…

Materials Science · Physics 2007-05-23 O. Pla , F. Guinea , E. Louis , S. V. Ghaisas , L. M. Sander

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…

Materials Science · Physics 2024-02-20 Liuchi Li , Jack Rao , Todd Hufnagel , KT Ramesh