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The theory, the design and the experimental validation of a catastrophe machine based on a flexible element are addressed for the first time. A general theoretical framework is developed by extending that of the classical catastrophe…

Chaotic Dynamics · Physics 2020-02-20 Alessandro Cazzolli , Diego Misseroni , Francesco Dal Corso

Inspired by reliability issues in electric transmission networks, we use a probabilistic approach to study the occurrence of large failures in a stylized cascading failure model. In this model, lines have random capacities that initially…

Probability · Mathematics 2016-04-14 F. Sloothaak , S. C. Borst , A. P. Zwart

We study the damage process of fiber bundles in a wedge-shape geometry which ensures a constant strain gradient. To obtain the wedge geometry we consider the three-point bending of a bar, which is modelled as two rigid blocks glued together…

Disordered Systems and Neural Networks · Physics 2011-04-28 Ferenc Kun , Sandor Nagy

Following the observations of the self-similarity in various length scales in the roughness of the fractured solid surfaces, we propose here a new model for the earthquake. We demonstrate rigorously that the contact area distribution…

Statistical Mechanics · Physics 2009-10-31 Bikas K. Chakrabarti , Robin B. Stinchcombe

We report tensile failure experiments on paper sheets. The acoustic emission energy and the waiting times between acoustic events follow power-law distributions. This remains true while the strain rate is varied by more than two orders of…

Disordered Systems and Neural Networks · Physics 2009-11-10 L. I. Salminen , A. I. Tolvanen , M. J. Alava

A theoretical and experimental study of the fragmentation of closed thin shells made of a disordered brittle material is presented. Experiments were performed on brown and white hen egg-shells under two different loading conditions:…

Statistical Mechanics · Physics 2011-03-28 F. K. Wittel , F. Kun , H. J. Herrmann , B. -H. Kroeplin

While static equilibria of flexible strings subject to various load types (gravity, hydrostatic pressure, Newtonian wind) is well understood textbook material, the combinations of the very same loads can give rise to complex spatial…

Mathematical Physics · Physics 2013-02-04 Gabor Csanyi , Gabor Domokos

We consider a microscopic model for the failure of soft adhesives in tension based on ideas of bond rupture under dynamic loading. Focusing on adhesive failure under loading at constant velocity, we demonstrate that bi-modal curves of…

Soft Condensed Matter · Physics 2007-05-23 Dominic Vella , L. Mahadevan

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

This paper quantitatively evaluates structural failure of biaxial cohesionless ellipsoids that have a two-density-layer distribution. The internal density layer is modeled as a sphere, while the external density layer is the rest of the…

Earth and Planetary Astrophysics · Physics 2015-06-18 Masatoshi Hirabayashi

Investigation of inhomogeneities has wide applications in different areas of mechanics including the study of composite materials. Here, we analytically study an arbitrarily-shaped isotropic inhomogeneity embedded in a finite-sized…

Soft Condensed Matter · Physics 2018-11-20 Ehsan Ban

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

We study the existence of distinct failure regimes in a model for fracture in fibrous materials. We simulate a bundle of parallel fibers under uniaxial static load and observe two different failure regimes: a catastrophic and a slowly…

Statistical Mechanics · Physics 2015-06-24 I. L. Menezes-Sobrinho , J. G. Moreira , A. T. Bernardes

Topologically interlocked structures are architectured by fitting together blocks that are constrained geometrically through contact and friction by their neighboring blocks. As long as the frictional strength is nowhere exceeded, the…

Numerical Analysis · Mathematics 2022-09-09 Ioannis Koureas , Mohit Pundir , Shai Feldfogel , David S. Kammer

We report tensile failure experiments on polyurethane (PU) foams. Experiments have been performed by imposing a constant strain rate. We work on heterogeneous materials for whom the failure does not occur suddenly and can develop as a…

Materials Science · Physics 2007-06-27 Stéphanie Deschanel , Loïc Vanel , Gérard Vigier , Nathalie Godin , Sergio Ciliberto

The failure of adhesive bondlines has been studied at the microscopic level via tensile tests. Stable crack propagation could be generated by means of samples with improved geometry, which made in-situ observations possible. The interaction…

Materials Science · Physics 2015-09-14 Philipp Hass , Falk K. Wittel , Peter Niemz

Fractal patterns are observed in computational mechanics of elastic-plastic transitions in two models of linear elastic/perfectly-plastic random heterogeneous materials: (1) a composite made of locally isotropic grains with weak random…

Statistical Mechanics · Physics 2015-05-13 J. Li , M. Ostoja-Starzewski

We examine the nonequilibrium nature of two-phase fluid displacements in a quasi-two-dimensional medium (a model open fracture), in the presence of localized constrictions ("defects"), from a theoretical and numerical standpoint. Our…

Fluid Dynamics · Physics 2024-01-25 Ran Holtzman , Marco Dentz , Marcel Moura , Mykyta Chubynsky , Ramon Planet , Jordi Ortin

The failure of materials and interfaces is mediated by cracks, nearly singular dissipative structures that propagate at velocities approaching the speed of sound. Crack initiation and subsequent propagation -- the dynamic process of…

Materials Science · Physics 2015-06-15 Eran Bouchbinder , Tamar Goldman , Jay Fineberg

Thermal welding of polymer-polymer interfaces is important for integrating polymeric elements into devices. When two different polymers are joined, the strength of the weld depends critically on the degree of immiscibility. We perform…

Soft Condensed Matter · Physics 2013-10-16 Ting Ge , Gary S. Grest , Mark O. Robbins
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