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Crack propagation in viscoelastic solids like rubber is of great practical importance. Shrimali and Lopez-Pamies have proposed a new interesting approach for the crack propagation in viscoelastic solids. We give comments on the validity of…

Soft Condensed Matter · Physics 2024-01-09 B. N. J. Persson , G. Carbone , C. Creton , G. Heinrich , T. Tada

The propagation of a crack front in disordered materials is jerky and characterized by bursts of activity, called avalanches. These phenomena are the manifestation of an out-of-equilibrium phase transition originated by the disorder. As a…

Statistical Mechanics · Physics 2020-04-14 Clément Le Priol , Julien Chopin , Pierre Le Doussal , Laurent Ponson , Alberto Rosso

We study the effect of the sample thickness in planar crack front propagation in a disordered elastic medium using the random fuse model. We employ different loading conditions and we test their stability with respect to crack growth. We…

Disordered Systems and Neural Networks · Physics 2015-06-16 Pallab Barai , Phani K. V. V. Nukala , Mikko J. Alava , Stefano Zapperi

The modeling of crack propagation in a heterogeneous material using a phase field model is studied numerically in a simple test case: the crack meets a wedge of higher fracture energy. It is shown that when the crack cannot enter the wedge,…

Materials Science · Physics 2021-08-24 Hervé Henry

We have carried out systematic fracture experiments in a single edge notch geometry over a range of stretch rates on dual crosslink hydrogels made from polyvinyl alcohol chains chemically crosslinked with glutaraldehyde and physically…

Soft Condensed Matter · Physics 2016-06-30 Koichi Mayumi , Jingyi Guo , Tetsuharu Narita , Chung Yuen , Costantino Creton

In earlier papers (Leblond et.al., 2011, 2019), we presented linear stability analyses of the coplanar propagation of a crack loaded in mixed-mode I+III, based on a "double'' propagation criterion combining Griffith (1920)'s energetic…

Soft Condensed Matter · Physics 2020-03-18 Aditya Vasudevan , Laurent Ponson , Jean-Baptiste Leblond , Alain Karma

The propagation of (planar) cracks in a heterogeneous brittle material characterized by a random field of toughness is considered, taking into account explicitly the effect of the crack front roughness on the local stress intensity factor.…

Other Condensed Matter · Physics 2015-06-24 Yann Charles , Damien Vandembroucq , Francois Hild , Stephane Roux

Velocity jumps observed for crack propagation under a static boundary condition have been used as a controlling factor in developing tough rubbers. However, the static test requires many samples to detect the velocity jump. On the contrary,…

Soft Condensed Matter · Physics 2019-07-17 Yuko Aoyanagi , Ko Okumura

A phase-field approach becomes a more popular candidate in modeling crack propagation. It uses a scalar auxiliary variable, namely a phase-field variable, to model a discontinuity zone in a continuity domain. Furthermore, the fourth-order…

Computational Engineering, Finance, and Science · Computer Science 2022-12-15 Khuong D. Nguyen , Cuong-Le Thanh , Frank Vogel , H. Nguyen-Xuan , M. Abdel-Wahab

Recently the scaling laws describing the roughness development of fracture surfaces was proposed to be related to the macroscopic elastic energy released during crack propagation [Mor00]. On this basis, an energy-based asymptotic analysis…

Materials Science · Physics 2009-11-07 S. Morel , E. Bouchaud , G. Valentin

The fracture toughness for a mode I/II crack propagating in a ductile material has been subject to numerous investigations. However, the influence of the material hardening law has received very limited attention, with isotropic hardening…

Materials Science · Physics 2018-12-18 Kristian J. Juul , Emilio Martínez-Pañeda , Kim L. Nielsen , Christian F. Niordson

We study shock propagation in a system of initially stationary hard-spheres that is driven by a continuous injection of particles at the origin. The disturbance created by the injection of energy spreads radially outwards through collision…

Statistical Mechanics · Physics 2017-11-29 Jilmy P. Joy , Sudhir N. Pathak , Dibyendu Das , R. Rajesh

The analogy between frictional cracks, propagating along interfaces in frictional contact, and ordinary cracks in bulk materials is important in various fields. We consider a stress-controlled frictional crack propagating at a velocity…

Materials Science · Physics 2025-04-08 Efim A. Brener , Eran Bouchbinder

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:…

Statistical Mechanics · Physics 2008-12-18 Laurent Ponson

We formulate a phase field crack growth model for mode III fracture in a Maxwell-type viscoelastic material. To describe viscoelastic relaxation, a field variable of viscously flowed strain is employed in addition to a displacement field…

Soft Condensed Matter · Physics 2020-07-15 Yoshimi Tanaka , Takeshi Takaishi

The phase-field approach to fracture has been proven to be a mathematically sound and easy to implement method for computing crack propagation with arbitrary crack paths. Hereby crack growth is driven by energy minimization resulting in a…

Numerical Analysis · Mathematics 2019-06-26 Carola Bilgen , Kerstin Weinberg

In this paper we first obtain the order of stress singularity for a dynamically propagating self-affine fractal crack. We then show that there is always an upper bound to roughness, i.e. a propagating fractal crack reaches a terminal…

Materials Science · Physics 2010-04-28 Arash Yavari , Hamed Khezrzadeh

We have designed a new experimental setup able to investigate fracture of soft materials at small scales. At high crack velocity, where energy is mostly dissipated through viscoelastic processes, we observe an increasingly large high strain…

Soft Condensed Matter · Physics 2015-01-08 Maxime Lefranc , Elisabeth Bouchaud

We derive a general crack propagation law for slow brittle cracking, in two and three dimensions, using symmetry, gauge invariance, and gradient expansions. Our derivation provides explicit justification for the ``principle of local…

Condensed Matter · Physics 2009-10-22 Jennifer Hodgdon , James P. Sethna

We develop continuum field model for crack propagation in brittle amorphous solids. The model is represented by equations for elastic displacements combined with the order parameter equation which accounts for the dynamics of defects. This…

Materials Science · Physics 2016-08-31 I. S. Aranson , V. A. Kalatsky , V. M. Vinokur