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Related papers: New universality class for the fragmentation of pl…

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The damage and fracture of materials are technologically of enormous interest due to their economic and human cost. They cover a wide range of phenomena like e.g. cracking of glass, aging of concrete, the failure of fiber networks in the…

Materials Science · Physics 2015-06-24 D. Sornette

We introduce a simple geometric model which describes the kinetics of fragmentation of d-dimensional objects. In one dimension our model coincides with the random scission model and show a simple scaling behavior in the long-time limit. For…

Condensed Matter · Physics 2009-10-22 P. L. Krapivsky , E. Ben-Naim

We use existing 3D Discrete Element simulations of simple shear flows of spheres to evaluate the radial distribution function at contact that enables kinetic theory to correctly predict the pressure and the shear stress, for different…

Soft Condensed Matter · Physics 2014-06-03 Dalila Vescovi , Diego Berzi , Patrick Richard , Nicolas Brodu

We study KPZ surfaces on Euclidean lattices and directed polymers on hierarchical lattices subject to different distributions of disorder, showing that universality holds, at odds with recent results on Euclidean lattices. Moreover, we find…

Statistical Mechanics · Physics 2009-10-31 Paolo De Los Rios

A law previously found for shear moduli of crystalline materials is developed and extended to all elastic moduli in solids and structures. Shear moduli were previously shown to depend only on specific volume. The bulk moduli of many…

Materials Science · Physics 2023-11-15 S. J. Burns , Sean P. Burns

The propagation of a 3D crack in an heterogeneous material is studied using a phase field model. It is shown that in the case of randomly distributed inclusions of soft material in a matrix, the nature of the distribution has little effect…

Materials Science · Physics 2025-03-11 Hervé Henry

Although scaling phenomena have long been documented in crystalline plasticity, the universality class has been difficult to identify due to the rarity of avalanche events, which require large system sizes and long times in order to…

Materials Science · Physics 2013-08-29 Georgios Tsekenis , Jonathan T. Uhl , Nigel Goldenfeld , Karin A. Dahmen

To obtain the probability distribution of 2D crack patterns in mesoscopic regions of a disordered solid, the formalism of Paper I requires that a functional form associating the crack patterns (or states) to their formation energy be…

Statistical Mechanics · Physics 2009-11-07 Renaud Toussaint , Steven R. Pride

We investigate the approach to catastrophic failure in a model porous granular material undergoing uniaxial compression. A discrete element computational model is used to simulate both the micro-structure of the material and the complex…

Disordered Systems and Neural Networks · Physics 2014-02-27 F. Kun , I. Varga , S. Lennartz-Sassinek , I. G. Main

The first plastic event occurring in discrete intermittent plasticity, as for example a pop-in seen in nano-indentation, is evaluated with extreme value statistics. It is found that when the same deformation is repeated many times, the…

Materials Science · Physics 2016-12-21 Peter Derlet , Robert Maaß

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

We discuss the plastic behavior of an amorphous matrix reinforced by hard particles. A mesoscopic depinning-like model accounting for Eshelby elastic interactions is implemented. Only the effect of a plastic disorder is considered.…

Materials Science · Physics 2016-02-17 Botond Tyukodi , Claire A. Lemarchand , Jesper S. Hansen , Damien Vandembroucq

We present a physical model for turbulent friction on rough surfaces with regularly distributed roughness elements. Wall shear stresses are expressed as functions of physical quantities. Surfaces with varying roughness densities and…

Fluid Dynamics · Physics 2016-10-24 Zhuoqun Li , Xiaojing Zheng

Crumpling of a thin film leads to a unique stiff yet lightweight structure. The stiffness has been attributed to a complex interplay between four basic elements - smooth bends, sharp folds, localized points (developable cones), and…

Soft Condensed Matter · Physics 2018-01-12 Andrew B. Croll , Timothy Twohig , Theresa Elder

The aim of this short review is to summarize the developing theory aimed at describing the effect of plastic events in amorphous solids on its emergent mechanics. Experiments and simulations present anomalous mechanical response of…

Statistical Mechanics · Physics 2023-11-02 Avanish Kumar , Itamar Procaccia

We study the deformation of nano--scale polymer films which are subject to external bending forces by means of computer simulation. The polymer is represented by a generalized bead--spring--model, intended to reproduce characteristic…

Condensed Matter · Physics 2015-06-25 Gerald Paetzold , Thorsten Hapke , Andreas Linke , Dieter W. Heermann

We develop a 3D Eulerian model to study the transport and distribution of microplastics in the global ocean. Among other benefits that will be discussed in the paper, one unique feature of our model is that it takes into consideration the…

Atmospheric and Oceanic Physics · Physics 2024-11-22 Zih-En Tseng , Yue Wu , Dimitris Menemenlis , Guangyao Wang , Chris Ruf , Yulin Pan

We investigate the origins of the widely-observed "en passant" crack pattern which forms through interactions between two approaching cracks. A rectangular elastic plate is notched on each long side and then subjected to quasistatic…

Materials Science · Physics 2015-05-19 Melissa L. Fender , Frederic Lechenault , Karen E. Daniels

The consolidation of suspended particulate matter under external forces such as pressure or gravity is of widespread interest. In this work, we derive a constitutive relation to describe the deformation of a {\it two-dimensional} strongly…

Soft Condensed Matter · Physics 2014-02-26 Saikat Roy , Mahesh S Tirumkudulu

When an amorphous material is strained beyond the point of yielding it enters a state of continual reconfiguration via dissipative, avalanche-like slip events that relieve built-up local stress. However, how the statistics of such events…

Soft Condensed Matter · Physics 2019-01-30 Kieran A. Murphy , Karin A. Dahmen , Heinrich M. Jaeger