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The dynamics of rapid brittle cracks is commonly studied in the framework of linear elastic fracture mechanics where nonlinearities are neglected. However, recent experimental and theoretical work demonstrated explicitly the importance of…

Materials Science · Physics 2009-11-13 Eran Bouchbinder , Ting-Shek Lo

According to the acoustic fluidization hypothesis, elastic waves at a characteristic frequency form inside seismic faults even in the absence of an external perturbation. These waves are able to generate a normal stress which contrasts the…

Statistical Mechanics · Physics 2018-02-14 F. Giacco , L. de Arcangelis , M. Pica Ciamarra , E. Lippiello

We present experiments on the slow growth of a single crack in a fax paper sheet submitted to a constant force $F$. We find that statistically averaged crack growth curves can be described by only two parameters : the mean rupture time…

The mechanics of single-chain stretching and rupture are central to understanding the resilience of biological polymers and designing strong and tough soft materials such as double-network gels and multi-network elastomers. In this work, we…

Soft Condensed Matter · Physics 2026-05-19 Noy Cohen , Nikolaos Bouklas , Chung-Yuen Hui

Starting from a commensurate triangular thin solid strip, confined within two hard structureless walls, a stretch along its length introduces a rectangular distortion. Beyond a critical strain the solid fails through nucleation of…

Soft Condensed Matter · Physics 2007-05-23 Debasish Chaudhuri , Surajit Sengupta

In this letter we address the fragmentation of thin, brittle layers due to the impact of high-velocity projectiles. Our approach is a geometric statistical one, with lines and circles playing the role of cracks, randomly distributed over…

Soft Condensed Matter · Physics 2014-09-30 Rebeca C. Falcão , Fernando Parisio

Widespread processes in nature and technology are governed by the dynamical transition whereby a material in an initially solid-like state then yields plastically. Major unresolved questions concern whether any material will yield smoothly…

Statistical Mechanics · Physics 2022-11-23 Joseph Pollard , Suzanne M Fielding

Strongly anisotropic geomaterials undergo fracture under compressive loading. This paper applies a phase-field fracture model to study this fracture process. While phase-field fracture models have several advantages, they provide unphysical…

Mechanical metamaterials with engineered failure properties typically rely on periodic unit cell geometries or bespoke microstructures to achieve their unique properties. We demonstrate that intelligent use of disorder in metamaterials…

Materials Science · Physics 2024-07-11 Sage Fulco , Michal K. Budzik , Hongyi Xiao , Douglas J. Durian , Kevin T. Turner

A statistical model of fragmentation of aggregates is proposed, based on the stochastic propagation of cracks through the body. The propagation rules are formulated on a lattice and mimic two important features of the process -- a crack…

Statistical Mechanics · Physics 2014-10-15 F. Spahn , E. V. Neto , A. H. F. Guimaraes , A. N. Gorban , N. V. Brilliantov

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

We study numerically the growth of a crack in an elastic medium under the influence of a travelling shockwave. We describe the implementation of a fast algorithm which is perfectly suited for a data parallel computer. Using large scale…

Condensed Matter · Physics 2015-06-25 Peter Ossadnik

We investigate the stress-driven morphological instability of epitaxially growing multilayer films, which are coherent and dislocation-free. We construct a direct elastic analysis, from which we determine the elastic state of the system…

Statistical Mechanics · Physics 2009-11-07 Zhi-Feng Huang , Rashmi C. Desai

Experimental and theoretical observations have agreed that the onset of cavitation in soft materials requires higher tensile pressure than pure water. The extra tensile pressure is required since the cavitating bubble needs to overcome the…

Soft Condensed Matter · Physics 2021-09-28 Fuad Hasan , Kah Al Mahmud , Md Ishak Khan , Wonmo Kang , Ashfaq Adnan

Adding perforations to a continuum sheet allows new modes of deformation, and thus modifies its elastic behavior. The failure behavior of such a perforated sheet is explored, using a model experimental system: a material containing a…

Materials Science · Physics 2015-06-22 Michelle M. Driscoll

The letter resolves several intriguing and fundamental aspects of debonding at soft interfaces, including the formation and persistence of regularly arranged nanocavities and bridges, ``adhesion-debonding hysteresis'', and vastly lower…

Soft Condensed Matter · Physics 2009-11-10 Jayati Sarkar , Vijay Shenoy , Ashutosh Sharma

Insight in the crumpling or compaction of one-dimensional objects is of great importance for understanding biopolymer packaging and designing innovative technological devices. By compacting various types of wires in rigid confinements and…

Soft Condensed Matter · Physics 2020-04-21 M. Reza Shaebani , Javad Najafi , Ali Farnudi , Daniel Bonn , Mehdi Habibi

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

Long-term durability is a major obstacle limiting the widespread use of lithium ion batteries (LIBs) in heavy-duty applications and others demanding extended lifetime. As one of the root causes of degradation and failure of battery…

In this paper, we prove a new existence result for a variational model of crack growth in brittle materials proposed in [15]. We consider the case of $n$-dimensional finite elasticity, for an arbitrary $n\ge1$, with a quasiconvex bulk…

Analysis of PDEs · Mathematics 2007-05-23 Gianni Dal Maso , Gilles A. Francfort , Rodica Toader
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