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The velocity jump found in the crack propagation for rubbers has been a powerful tool for developing tough rubber materials. Although it is suggested by a theory that the jump could be observed widely for viscoelastic materials, the report…

软凝聚态物质 · 物理学 2025-11-19 Aoi Nohara , Ko Okumura

We investigate crack propagation in a simple two-dimensional visco-elastic model and find a scaling regime in the relation between the propagation velocity and energy release rate or fracture energy, together with lower and upper bounds of…

材料科学 · 物理学 2017-06-22 Yuko Aoyanagi , Ko Okumura

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…

软凝聚态物质 · 物理学 2019-04-30 Takako Tomizawa , Ko Okumura

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…

材料科学 · 物理学 2020-12-17 M. Ciavarella , R. McMeeking

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…

软凝聚态物质 · 物理学 2018-05-21 Emanuel Willert , Valentin L. Popov

We investigate the rapid spreading dynamics of a viscoelastic drop on a solid. Upon contact, surface tension drives a fast motion of the contact line along the substrate. Here, we resolve this motion for viscoelastic liquids by experiments…

流体动力学 · 物理学 2022-06-22 Ambre Bouillant , Pim J. Dekker , Michiel A. Hack , Jacco H. Snoeijer

We present a numerical implementation of a model of quasi-static crack growth in linearly elastic-perfectly plastic materials. We assume that the displacement is antiplane, and that the cracks and the plastic slips are localized on a…

数值分析 · 数学 2021-11-18 Gianni Dal Maso , Luca Heltai

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…

材料科学 · 物理学 2015-06-25 D. Pilipenko , R. Spatschek , E. A. Brener , H. Müller-Krumbhaar

We propose a minimal nonlinear model of brittle crack propagation by considering only the motion of the crack-tip atom. The model captures many essential features of steady-state crack velocity and is in excellent quantitative agreement…

材料科学 · 物理学 2009-10-28 Brad Lee Holian , Raphael Blumenfeld , Peter Gumbsch

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

This paper demonstrates that rapid fracture of ideal brittle lattices naturally involves phenomena long seen in experiment, but which have been hard to understand from a continuum point of view. These idealized models do not mimic realistic…

chao-dyn · 物理学 2009-10-22 Michael Marder , Steve Gross

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,…

软凝聚态物质 · 物理学 2019-07-17 Yuko Aoyanagi , Ko Okumura

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

Crack initiation and propagation are fundamental problems in materials science, often leading to catastrophic failure. While fracture in elastic solids occurs instantaneously above a critical load, viscoelastic materials may sustain high…

软凝聚态物质 · 物理学 2026-05-14 Giuseppe Carbonea , Cosimo Mandriotab , Guido Violanob , Luciano Afferrante , Nicola Menga

In this paper we study a rate-independent system for the propagation of damage and plasticity. To construct solutions we resort to approximation in terms of viscous evolutions, where viscosity affects both damage and plasticity with the…

偏微分方程分析 · 数学 2024-09-02 Vito Crismale , Giuliano Lazzaroni , Riccarda Rossi

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…

统计力学 · 物理学 2020-04-14 Clément Le Priol , Julien Chopin , Pierre Le Doussal , Laurent Ponson , Alberto Rosso

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…

软凝聚态物质 · 物理学 2020-09-11 N. Rodriguez , P. Mangiagalli , B. N. J. Persson

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…

材料科学 · 物理学 2010-04-28 Arash Yavari , Hamed Khezrzadeh

Bubbles rising in viscoelastic liquids may exhibit a jump discontinuity of the rise velocity as a critical bubble volume is exceeded. The phenomenon has been extensively investigated in the literature, both by means of experiments as well…

流体动力学 · 物理学 2022-02-15 Dieter Bothe , Matthias Niethammer , Christian Pilz , Günter Brenn

We investigate the evolution of a two-phase viscoelastic material at finite strains. The phase evolution is assumed to be irreversible: One phase accretes in time in its normal direction, at the expense of the other. Mechanical response…

偏微分方程分析 · 数学 2025-01-10 Andrea Chiesa , Ulisse Stefanelli
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