English
Related papers

Related papers: Stability Limit for Mode-I Fracture

200 papers

We present an experimental study of the motion of a viscoelastic micellar material around a moving cylinder, which ranges in response from fluid-like flow to solid-like tearing and fracture, depending on the cylinder radius and velocity.…

Soft Condensed Matter · Physics 2009-11-11 Joseph R. Gladden , Andrew Belmonte

The slow motion of a crack line is studied via an experiment in which sheets of paper are split into two halves in a ``peel-in-nip'' (PIN) geometry under a constant load, in creep. The velocity-force relation is exponential. The dynamics of…

Statistical Mechanics · Physics 2009-11-13 J. Koivisto , J. Rosti , M. J. Alava

Crack initiation and propagation in elastic - perfectly plastic bodies is studied in a phase-field or variational gradient damage formulation. A rate-independent formulation that naturally couples elasticity, perfect plasticity and fracture…

Computational Engineering, Finance, and Science · Computer Science 2019-06-26 Stella Brach , Erwan Tanné , Blaise Bourdin , Kaushik Bhattacharya

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…

Numerical Analysis · Mathematics 2022-02-18 Frédéric Marazzato , Alexandre Ern , Laurent Monasse

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…

Materials Science · Physics 2015-05-19 Itamar Kolvin , Gil Cohen , Jay Fineberg

We investigate a specific reaction-diffusion system that admits a monostable pulled front propagating at constant critical speed. When a small parameter changes sign, the stable equilibrium behind the front destabilizes, due to essential…

Analysis of PDEs · Mathematics 2021-10-07 Louis Garénaux

The interaction of a shock wave with a localized constriction in a straight conduit is investigated by systematically varying the blockage ratio in the range 0.35-0.75, the normalized constriction length in the range 0.25-2, and the…

Fluid Dynamics · Physics 2026-03-05 Raz Heppner , Hemanth Chandravamsi , Yoav Gichon , Steven H. Frankel , Omri Ram

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

The problem of dynamic symmetric branching of an initial single brittle crack propagating at a given speed under plane loading conditions is studied within a continuum mechanics approach. Griffith's energy criterion and the principle of…

Materials Science · Physics 2007-05-23 E. Katzav , M. Adda-Bedia , R. Arias

It has long been known for elastomers that the velocity of crack propagation jumps as a function of strain. On the other hand, such a jump has not been reported in the literature for polymers which do not exhibit a rubbery plateau in the…

Soft Condensed Matter · Physics 2019-04-30 Takako Tomizawa , Ko Okumura

Fronts, propagating into an unstable state $\phi=0$, whose asymptotic speed $v_{\text{as}}$ is equal to the linear spreading speed $v^*$ of infinitesimal perturbations about that state (so-called pulled fronts) are very sensitive to changes…

Statistical Mechanics · Physics 2009-11-07 Debabrata Panja , Wim van Saarloos

Mixed mode (I+III) loading induces segmented crack front \'echelon structures connected by steps. We study this instability in a highly deformable, strain-hardening material. We find that \'echelons develop beyond a finite, size-independent…

Soft Condensed Matter · Physics 2014-03-05 O. Ronsin , C. Caroli , T. Baumberger

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…

Soft Condensed Matter · Physics 2026-01-01 Hokuto Nagatakiya , Naoyuki Sakumichi , Shunsuke Kobayashi , Ryuichi Tarumi

Through controlled numerical simulations in a one dimensional fiber bundle model with local stress concentration, we established an inverse correlation between the strength of the material and the cracks which grow inside it - both the…

Statistical Mechanics · Physics 2024-02-20 Viswakannan R. K. , Subhadeep Roy

We study the motion of radially driven fluid-immersed particles in a novel Hele-Shaw cell with open boundaries. The initially uniform suspension forms a striped pattern within a specific range of horizontal oscillation frequencies and for…

Soft Condensed Matter · Physics 2021-11-02 Mahdieh Mohammadi , Maniya Maleki , Adam Wysocki , M. Reza Shaebani

We examine the fracture mechanics of tearing graphene. We present a molecular dynamics simulation of the propagation of cracks in clamped, free-standing graphene as a function of the out-of-plane force. The geometry is motivated by…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Maria J. B. Moura , Michael Marder

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…

Materials Science · Physics 2009-11-13 Stéphane Santucci , Loic Vanel , Sergio Ciliberto

The dynamic initiation of sliding at planar interfaces between deformable and rigid solids is studied with particular focus on the speed of the slip front. Recent experimental results showed a close relation between this speed and the local…

Classical Physics · Physics 2012-11-22 David S. Kammer , Vladislav A. Yastrebov , Peter Spijker , Jean-François Molinari

Frictional interfaces are abundant in natural and manmade systems and their dynamics still pose challenges of fundamental and technological importance. A recent extensive compilation of multiple-source experimental data has revealed that…

Materials Science · Physics 2015-01-20 Yohai Bar-Sinai , Robert Spatschek , Efim A. Brener , Eran Bouchbinder

Various kinds of heterogeneity in solids including atomistic discreteness affect the fracture strength as well as the failure dynamics remarkably. Here we study the effects of an initial crack in a discrete model for fracture in…

Statistical Mechanics · Physics 2022-06-01 Subhadeep Roy , Takahiro Hatano , Purusattam Ray