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Related papers: Crack initiation in viscoelastic materials

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Crack growth is the basic mechanism leading to the failure of brittle materials. Engineering addresses this problem within the framework of continuum mechanics, which links deterministically the crack motion to the applied loading. Such an…

Statistical Mechanics · Physics 2018-12-26 Jonathan Barés , Daniel Bonamy

For solving the longstanding materials science problem of correlating elastic properties of a solid material to the formation of cracks we present a new general concept. This concept is applied to the technologically most important cracks…

Materials Science · Physics 2007-05-23 Petr Lazar , Raimund Podloucky , Walter Wolf

Crack advance from short or long pre-cracks is predicted by the progressive failure of a cohesive zone in a strain gradient, elasto-plastic solid. The presence of strain gradients leads to the existence of an elastic zone at the tip of a…

In this paper we prove the existence of solutions for a class of viscoelastic dynamic systems on time--dependent cracked domains, with possibly degenerate viscosity coefficients. Under stronger regularity assumptions we also show a…

Analysis of PDEs · Mathematics 2025-10-06 Maicol Caponi , Francesco Sapio

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…

Soft Condensed Matter · Physics 2026-05-14 Giuseppe Carbonea , Cosimo Mandriotab , Guido Violanob , Luciano Afferrante , Nicola Menga

In this study, we propose a theory of rough adhesive contact of viscoelastic materials in steady-state sliding. By exploiting a boundary formulation based on Green function approach, the unknown contact domain is calculated by enforcing the…

Soft Condensed Matter · Physics 2024-01-31 C. Mandriota , N. Menga , G. Carbone

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

Over the last half-century, linear viscoelastic models for crack growth in soft solids have flourished but their predictions have rarely been compared to experiments. In fact, most available models are either very approximate or cast in…

Soft Condensed Matter · Physics 2024-07-02 Etienne Barthel

Predicting when rupture occurs or cracks progress is a major challenge in numerous elds of industrial, societal and geophysical importance. It remains largely unsolved: Stress enhancement at cracks and defects, indeed, makes the macroscale…

Soft Condensed Matter · Physics 2017-11-21 Daniel Bonamy

In this paper we study the crack initiation in a hyper-elastic body governed by a Griffith's type energy. We prove that, during a load process through a time dependent boundary datum of the type $t \to t g(x)$ and in absence of strong…

Analysis of PDEs · Mathematics 2016-09-07 Antonin Chambolle , Alessandro Giacomini , Marcello Ponsiglione

Volume alteration in solid materials is a common cause of material failure. Here we investigate the crack formation in thin elastic layers attached to a substrate. We show that small variations in the volume contraction and substrate…

Materials Science · Physics 2015-05-13 Yossi Cohen , Joachim Mathiesen , Itamar Procaccia

We present our recent study on rough adhesive contacts of viscoelastic materials in steady-state sliding, focusing on the interplay between adhesion and viscoelasticity by means of a novel energy approach. We investigate tribological…

Soft Condensed Matter · Physics 2024-11-13 Cosimo Mandriota , Nicola Menga , Giuseppe Carbone

We show the existence of quasistatic evolutions in a fracture model for brittle materials by a vanishing viscosity approach, in the setting of planar linearized elasticity. The crack is not prescribed a priori and is selected in a class of…

Analysis of PDEs · Mathematics 2019-06-07 Stefano Almi , Giuliano Lazzaroni , Ilaria Lucardesi

While cracking is a complex dynamics that involves material intrinsic properties like grain shape and size distribution, elastic properties of grain and cementing materials, and extrinsic properties of loading, in this work, the focus has…

Materials Science · Physics 2024-10-10 Ruhul A. I. Haque , T. Dutta

Viscoelasticity is well known to cause significant hysteresis of crack closure and opening when an elastomer is brought in and out of contact with a flat, rigid, adhesive counterface. A separate origin of adhesive hysteresis is small-scale,…

Soft Condensed Matter · Physics 2023-04-06 Christian Müller , Manar Samri , René Hensel , Eduard Arzt , Martin H. Müser

Thin layers of elastomers bonded to two rigid plates demonstrate unusual failure response. Historically, it has been believed that strongly-bonded layers fail by two distinct mechanisms: (i) internal/external penny-shaped crack nucleation…

Soft Condensed Matter · Physics 2025-07-15 Aarosh Dahal , Aditya Kumar

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

When quickly detaching an elastomer from a counterface, viscoelasticity dramatically increases the perceived adhesion relative to its adiabatic or equilibrium value. Here, we report simulations on the sticking contact between a rigid…

Soft Condensed Matter · Physics 2022-05-04 Martin H. Müser , Bo N. J. Persson

We study the nucleation and development of crack patterns in thin composite fibers under tension in this work. A fiber comprises an elastic core and an outer layer of a weaker brittle material. In recent tensile experiments on such…

Numerical Analysis · Mathematics 2022-12-06 Arnav Gupta , Timothy J. Healey

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
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