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 …

This paper addresses some lattice model techniques used in numerical simulations of
fracture in concrete and other random materials. The influence of lattice element type and …

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 …

Publisher Summary This chapter discusses several composites or granular or porous
materials that display inhomogeneity on a macroscopic scale. In such materials, there are …

We study via simulation how a lattice breaks if each bond is an elastic beam having
longitudinal and flexural breaking thresholds randomly selected according to various …

Gathering research from physics, mechanical engineering, and statistics in a single resource
for the first time, this text presents the background to the model, its theoretical basis, and …

We investigate a two-dimensional network simulator that model the dynamics of drainage
dominated flow where film flow can be neglected. We present a new method for simulating …

This paper discusses 2D lattice models of beams for simulating the fracture of brittle
materials. A simulation of an experiment on a concrete plate subjected to shear, in which two …

We have studied experimentally and numerically the displacement of a highly viscous
wetting fluid by a non-wetting fluid with low viscosity in a random two-dimensional porous …

On the basis of microstructure analysis and image analysis, rock heterogeneity is modelled
by the rock and tool (R-T2D) interaction code according to homogenisation theory. The …