Scaling in fracture systems has become an active field of research in the last 25 years
motivated by practical applications in hazardous waste disposal, hydrocarbon reservoir …

We review and discuss recent progress in modelling non-linear and non-local transport
processes in heterogeneous media. The non-locality that we consider is caused by long …

Disorder and long-range interactions are two of the key components that make material
failure an interesting playfield for the application of statistical mechanics. The cornerstone in …

Different rupture modes and different fracture toughness values were obtained on an
aluminium alloy subjected to four different heat treatments. The correlation functions of the …

Inhomogeneous materials, such as plaster or concrete, subjected to an external elastic
stress display sudden movements owing to the formation and propagation of microfractures …

We study the approach to global breakdown in disordered media driven by increasing
external forces. We first analyze the problem by mean-field theory, showing that the failure …

The statistical properties and the localization of fracture precursors on heteregeneous
materials is studied by recording their acoustic emission as a function of the applied load. It's …

A three-dimensional lattice spring model of a heterogeneous material is presented. For
small deformations, the model is shown to recover the governing equations for an isotropic …

Earthquakes are related to rupture phenomena in complex statistical systems of cracks. We
first review some available information suggesting that rupture in earthquakes is a critical …

Crack patterns, as they can be observed in the glaze of ceramics or in desiccated mud
layers, are formed by successive fractures and divide the two-dimensional plane into distinct …