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In a recent contribution, Shrimali and Lopez-Pamies (2023) have shown that the Griffith criticality condition that governs crack growth in viscoelastic elastomers can be reduced -- from its ordinary form involving a historically elusive…

Materials Science · Physics 2023-01-26 Bhavesh Shrimali , Oscar Lopez-Pamies

In spite of the growing body of evidence against it, the elasticity view of the phenomenon of cavitation in elastomers continues to be utilized in numerous studies. In this context, the main objective of this paper is to provide a…

Soft Condensed Matter · Physics 2023-12-25 Evan Breedlove , Chao Chen , David Lindeman , Oscar Lopez-Pamies

In this paper, we'll answer several abstract, formal questions about the nature of crack growth and nucleation. Bringing a field theory point of view to fracture illuminates things in what I hope will be an entertaining way. Formally, what…

Materials Science · Physics 2007-05-23 James P. Sethna

Superficial (two dimensional) crack patterns appear when a thin layer of material elastically attached to a substrate contracts. We study numerically the maturation process undergone by these crack patterns when they are allowed to adapt in…

Statistical Mechanics · Physics 2009-11-10 E. A. Jagla

The nucleation and/or growth of cracks in elastic-brittle solids has been recently described in [14] in terms of a special class of measures and with a variational technique requiring the minimization of a certain energy over classes of…

Mathematical Physics · Physics 2010-01-21 Paolo Maria Mariano

The classical flexure problem of non-linear incompressible elasticity is revisited for elastic materials whose mechanical response is different in tension and compression---the so-called bimodular materials. The flexure problem is chosen to…

Soft Condensed Matter · Physics 2013-03-11 Michel Destrade , Jerry G. Murphy , Badar Rashid

The growth of an elastic film adhered to a confining substrate might lead to the formation of delimitation blisters. Many results have been derived when the substrate is flat. The equilibrium shapes, beyond small deformations, are…

Soft Condensed Matter · Physics 2015-06-18 Riccardo De Pascalis , Gaetano Napoli , Stefano S. Turzi

Soft fracture in highly deformable solids involves both geometric and constitutive nonlinearities, necessitating advanced theoretical and computational frameworks for its accurate understanding. Tensile fractures subjected to mixed-mode…

This paper considers a steady-state crack propagating along an interface between dissimilar orthotropic materials under an asymmetric load. Although most of the known results so far deal with symmetric loading, it has been shown recently…

Classical Physics · Physics 2013-09-25 L. Pryce , L. Morini , G. Mishuris

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

The interaction between neighboring cracks has been shown to strongly influence the fracture behavior of graphene. While previous studies focused primarily on crack spacing, the role of crack width remains poorly understood. Here,…

Materials Science · Physics 2026-05-20 Suyeong Jin , Jung-Wuk Hong , Alexandre F. Fonseca

Dynamic Mode III interfacial fracture in a dissimilar square-cell lattice, composed of two contrasting mass-spring lattice half-planes joined at an interface, is considered. The fracture, driven by a remotely applied load, is assumed to…

Classical Physics · Physics 2019-12-13 A. Piccolroaz , N. Gorbushin , G. S. Mishuris , M. J. Nieves

The fiber bundle model describes a collection of elastic fibers under load. the fibers fail successively and for each failure, the load distribution among the surviving fibers change. Even though very simple, the model captures the…

Statistical Mechanics · Physics 2015-05-13 Srutarshi Pradhan , Alex Hansen , Bikas K. Chakrabarti

The growth of cracks combines materials science, fracture mechanics, and statistical physics. The importance of fluctuations in the crack velocity is fundamental since it signals that the crack overcomes local barriers such as tough spots…

Statistical Mechanics · Physics 2025-03-11 Tero Mäkinen , Lumi Tuokkola , Joonas Lahikainen , Ivan V. Lomakin , Juha Koivisto , Mikko J. Alava

Cohesive granular materials, like wet sand, retain their shape before yielding under stress. This solid-like behavior is associated with elasticity. As the loading increases, the material typically flows. However, cohesive materials can…

Soft Condensed Matter · Physics 2025-05-19 Marie-Julie Dalbe , Pierre Jodlowski , Nicolas Vandenberghe

Surface growth is a crucial component of many natural and artificial processes from cell proliferation to additive manufacturing. In elastic systems surface growth is usually accompanied by the development of geometrical incompatibility…

Soft Condensed Matter · Physics 2019-05-08 Lev Truskinovsky , Giuseppe Zurlo

The problem of predicting the growth of a system of cracks, each crack influencing the growth of the others, arises in multiple fields. We develop an analytical framework toward this aim, which we apply to the `En-Passant' family of crack…

Soft Condensed Matter · Physics 2015-08-18 Ramin Ghelichi , Ken Kamrin

We investigate the fracture of Li-ion battery cathodic particles using a thermodynamically consistent phase-field approach that can describe arbitrarily complex crack paths and captures the full coupling between Li-ion diffusion, stress,…

Materials Science · Physics 2019-08-23 Ataollah Mesgarnejad , Alain Karma

A confined incompressible elastic film does not deform uniformly when subjected to adhesive interfacial stresses but with undulations which have a characteristic wavelength scaling linearly with the thickness of the film. In the classical…

Soft Condensed Matter · Physics 2009-11-11 Animangsu Ghatak

This paper investigates correlation properties of fluctuations in fatigue crack growth of polycrystalline materials, such as ductile alloys, that are commonly encountered in structures and machinery components of complex electromechanical…

Materials Science · Physics 2015-06-25 Nicola Scafetta , Asok Ray , Bruce J. West