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We investigate numerically the dynamics of crack propagation along a weak plane using a model consisting of fibers connecting a soft and a hard clamp. This bottom-up model has previously been shown to contain the competition of two crack…

Disordered Systems and Neural Networks · Physics 2013-08-28 Knut Skogstrand Gjerden , Arne Stormo , Alex Hansen

Crack propagation in viscoelastic materials has been understood with the use of Barenblatt cohesive models by many authors since the 1970's. In polymers and metal creep, it is customary to assume that the relaxed modulus is zero, so that we…

Materials Science · Physics 2020-12-17 M. Ciavarella , R. McMeeking

A continuum model of crack propagation is presented and discussed. We obtain steady state solutions with a self-consistently selected propagation velocity and shape of the crack, provided that elastodynamic and viscoelastic effects are…

Materials Science · Physics 2020-02-26 M. Fleck , D. Pilipenko , R. Spatschek , E. A. Brener

We employ a recently developed model that allows the study of two-dimensional brittle crack propagation under fixed grip boundary conditions. The crack development highlights the importance of voids which appear ahead of the crack as…

Disordered Systems and Neural Networks · Physics 2015-06-12 Itamar Procaccia , Jacques Zylberg

We analyze a piece-wise linear elastic model for the propagation of a crack in a stripe geometry under mode III conditions, in the absence of dissipation. The model is continuous in the propagation direction and discrete in the…

Materials Science · Physics 2009-11-11 T. M. Guozden , E. A. Jagla

We discuss crack propagation along the interface between two dissimilar materials. The crack edge separates two states of the interface, ``stick'' and ``slip''. In the slip region we assume that the shear stress is proportional to the…

Materials Science · Physics 2016-08-31 Efim A. Brener , V. I. Marchenko

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

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

When a crack propagate in a viscoelastic solid energy dissipation can occur very far from the crack tip where the stress field may be very different from the $r^{-1/2}$ singular form expected close to the crack tip. Most theories of crack…

Soft Condensed Matter · Physics 2020-09-16 B. N. J. Persson

Needs to impart appropriate elasticity and high toughness to viscoelastic polymer materials are ubiquitous in industries such as concerning automobiles and medical devices. One of the major problems to overcome for toughening is…

Soft Condensed Matter · Physics 2017-08-29 Naoyuki Sakumichi , Ko Okumura

A newly developed sharp interface model describes crack propagation by a phase transition process. We solve this free boundary problem numerically and obtain steady state solutions with a self-consistently selected propagation velocity and…

Materials Science · Physics 2015-06-25 D. Pilipenko , R. Spatschek , E. A. Brener , H. Müller-Krumbhaar

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

We review a theory of crack propagation in viscoelastic solids. We consider both cracks in infinite systems and in finite sized systems. As applications of the theory we consider two adhesion problems, namely pressure sensitive adhesives…

Soft Condensed Matter · Physics 2020-09-11 N. Rodriguez , P. Mangiagalli , B. N. J. Persson

We propose an approach to describe the propagation of a crack (or boundary of an adhesive contact) in a viscoelastic material which is only based on the consideration of the rheology of the material without the introduction of any…

Soft Condensed Matter · Physics 2018-05-21 Emanuel Willert , Valentin L. Popov

The propagation of a 3D crack in an heterogeneous material is studied using a phase field model. It is shown that in the case of randomly distributed inclusions of soft material in a matrix, the nature of the distribution has little effect…

Materials Science · Physics 2025-03-11 Hervé Henry

Most of the research concerting crack propagation in discrete media is concerned with specific types of external loading: displacements on the boundaries, or constant energy fluxes or feeding waves originating from infinity. In this paper…

Soft Condensed Matter · Physics 2017-08-03 Nikolai Gorbushin , Gennady Mishuris

The dynamics of a single crack moving through a heterogeneous medium is studied in the quasi-static approximation. Equations of motion for the crack front are formulated and the resulting scaling behaviour analyzed. In a model scalar system…

Disordered Systems and Neural Networks · Physics 2009-10-28 Sharad Ramanathan , Deniz Ertaş , Daniel S. Fisher

We show that for the simulation of crack propagation in quasi-brittle, two-dimensional solids, very good results can be obtained with an embedded strong discontinuity quadrilateral finite element that has incompatible modes. Even more…

Numerical Analysis · Mathematics 2021-09-08 A. Stanic , B. Brank , A. Ibrahimbegovic , H. G. Matthies

The present work deals with the problem of a semi-infinite crack steadily propagating in an elastic body subject to plane-strain shear loading. It is assumed that the mechanical response of the body is governed by the theory of…

Mathematical Physics · Physics 2014-05-14 P. A. Gourgiotis , A. Piccolroaz

We investigate dynamic crack propagation and fragmentation with the phase-field fracture approach. The method was chosen for its ability to yield crack paths that are independent of the underlying mesh, thanks to the damage regularization…

Computational Physics · Physics 2025-12-23 Shad Durussel , Gergely Molnár , Jean-François Molinari
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