The deformation and flow of disordered solids, such as metallic glasses and concentrated
emulsions, involves swift localized rearrangements of particles that induce a long-range …

The fiber bundle model describes a collection of elastic fibers under load. The fibers fail
successively and, for each failure, the load distribution among the surviving fibers changes …

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 …

Temporal changes in seismic velocity during the earthquake cycle have the potential to
illuminate physical processes associated with fault weakening and connections between the …

The present status of research and understanding regarding the dynamics and the statistical
properties of earthquakes is reviewed, mainly from a statistical physical viewpoint. Emphasis …

Basquin's law of fatigue states that the lifetime of the system has a power-law dependence
on the external load amplitude, tf∼ σ 0-α, where the exponent α has a strong material …

Damage accumulation and failure in random fiber networks is of importance in a variety of
applications, from design of synthetic materials, such as paper and non-wovens, to …

Material failure is ubiquitous, with implications from geology to everyday life and material
science. It often involves sudden, unpredictable events, with little or no macroscopically …

We investigate the approach to catastrophic failure in a model porous granular material
undergoing uniaxial compression. A discrete element computational model is used to …

In this book, the authors bring together basic ideas from fracture mechanics and statistical
physics, classical theories, simulation and experimental results to make the statistical …