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The properties of slow crack growth in brittle materials are analyzed both theoretically and experimentally. We propose a model based on a thermally activated rupture process. Considering a 2D spring network submitted to an external load…

Materials Science · Physics 2009-11-13 Stéphane Santucci , Loic Vanel , Sergio Ciliberto

Multi-phase materials, such as composite materials, exhibit multiple competing failure mechanisms during the growth of a macroscopic defect. For the simulation of the overall fracture process in such materials, we develop a two-phase spring…

Statistical Mechanics · Physics 2020-12-15 Rajat Pratap Singh Parihar , Dhiwakar V. Mani , Anuradha Banerjee , R. Rajesh

We discuss the threshold activated extremal dynamics that is prevalent in the breakdown processes in heterogeneous materials. We model such systems by an elastic spring network with random breaking thresholds assigned to the springs.…

Statistical Mechanics · Physics 2007-05-23 Purusattam Ray

Fracture processes in multi-phase solids are inherently complex due to multiple competing mechanisms. Here, we investigate the elastic and fracture behaviour of two-phase solids, comprising a fragile phase and a tough phase using a…

Statistical Mechanics · Physics 2025-06-17 Subrat Senapati , Anuradha Banerjee , R Rajesh

Fracture in a disordered lattice system is studied. In our system, particles are initially arranged on the triangular lattice and each nearest-neighbor pair is connected with a randomly chosen soft or hard Hookean spring. Every spring has…

Soft Condensed Matter · Physics 2013-05-29 Chiyori Urabe , Shinji Takesue

The geometry of fracture patterns in a dilute elastic network is explored using molecular dynamics simulation. The network in two dimensions is subjected to a uniform strain which drives the fracture to develop by the growth and coalescence…

Condensed Matter · Physics 2015-06-25 P. Ray , G. Date

Using large scale numerical simulations we analyze the statistical properties of fracture in the two dimensional random spring model and compare it with its scalar counterpart: the random fuse model. We first consider the process of crack…

Materials Science · Physics 2009-11-11 Phani Kumar V. V. Nukala , Stefano Zapperi , Srdan Simunovic

We investigate by means of computer simulations the effect of structural disorder on the statistics of cracking for a thin layer of material under uniform and isotropic drying. The layer is discretized into a triangular lattice of springs.…

Statistical Mechanics · Physics 2011-10-13 Gabriel Villalobos , Ferenc Kun , José D. Muñoz

By performing extensive simulations with unprecedentedly large system sizes, we unveil how rigidity influences the fracture of disordered materials. We observe the largest damage in networks with connectivity close to the isostatic point…

Soft Condensed Matter · Physics 2020-01-15 Simone Dussi , Justin Tauber , Jasper van der Gucht

We study size effects in the fracture strength of notched disordered samples using numerical simulations of lattice models for fracture. In particular, we consider the random fuse model, the random spring model and the random beam model,…

Materials Science · Physics 2008-04-15 Mikko J. Alava , Phani K. V. V. Nukala , Stefano Zapperi

We study the behavior of fracture in disordered systems close to the breakdown point. We simulate numerically both scalar (resistor network) and vectorial (spring network) models with threshold disorder, driven at constant current and…

Materials Science · Physics 2008-02-03 Stefano Zapperi , Purusattam Ray , H. Eugene Stanley , Alessandro Vespignani

Capturing the dynamics of granular flows at intermediate length scales can often be difficult. We propose studying the dynamics of contact networks as a new tool to study fracture at intermediate scales. Using experimental three-dimensional…

Soft Condensed Matter · Physics 2012-08-17 Mark Herrera , Shane McCarthy , Steven Slotterback , Emmanuel Cephas , Wolfgang Losert , Michelle Girvan

We study experimentally the slow growth of a single crack in a fibrous material and observe stepwise growth dynamics. We model the material as a lattice where the crack is pinned by elastic traps and grows due to thermally activated stress…

Statistical Mechanics · Physics 2009-11-10 Stephane Santucci , Loic Vanel , Sergio Ciliberto

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

Crystal plasticity occurs by deformation bursts due to the avalanche-like motion of dislocations. Here we perform extensive numerical simulations of a three-dimensional dislocation dynamics model under quasistatic stress-controlled loading.…

Statistical Mechanics · Physics 2016-08-24 Arttu Lehtinen , Giulio Costantini , Mikko J. Alava , Stefano Zapperi , Lasse Laurson

Slow crack growth in a model of homogenous brittle elastic material is described as a thermal activation process where stress fluctuations allow to overcome a breaking threshold through a series of irreversible steps. We study the case of a…

Statistical Mechanics · Physics 2009-11-10 S. Santucci , L. Vanel , A. Guarino , R. Scorretti , S. Ciliberto

On microscopic and mesoscopic scales, plastic flow of crystals is characterized by large intrinsic fluctuations. Deformation by crystallographic slip occurs in a sequence of intermittent bursts ('slip avalanches') with power-law size…

Materials Science · Physics 2009-11-11 Michael Zaiser , Paolo Moretti

The process of frictional rupture, i.e. the failure of frictional systems, abounds in the technological and natural world around us, ranging from squealing car brake pads to earthquakes along geological faults. A general framework for…

We introduce a model for the dynamics of mud cracking in the limit of of extremely thin layers. In this model the growth of fracture proceeds by selecting the part of the material with the smallest (quenched) breaking threshold. In…

Condensed Matter · Physics 2009-10-31 A. Gabrielli , R. Cafiero , G. Caldarelli

Composite materials are often stronger than their constituents. We demonstrate this through a spring network model on a square lattice. Two different types of sites (A and B) are distributed randomly on the lattice, representing two…

Statistical Mechanics · Physics 2010-04-06 Supti Sadhukhan , Tapati Dutta , Soma Nag , Sujata Tarafdar
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