While there exists a unified theoretical framework–Linear Elastic Fracture Mechanics–to
describe the failure of homogeneous materials, understanding and modeling the …

Long-memory, or more generally fractal, processes are known to play an important role in
many scientific disciplines and applied fields such as physics, geophysics, hydrology …

Stress enhancement in the vicinity of brittle cracks makes the macro-scale failure properties
extremely sensitive to the micro-scale material disorder. Therefore,(i) fracturing systems …

Multifractal analysis is considered a promising tool for image processing, notably for texture
characterization. However, practical operational estimation procedures based on a …

A scalar valued random field [Formula: see text] is called operator-scaling if for some d× d
matrix E with positive real parts of the eigenvalues and some H> 0 we have where= fd …

A permeability estimation of a single rough fracture remains challenging and has attracted
broad attention because of its fundamental importance. This study examines the effects of …

We investigate the scaling properties of postmortem fracture surfaces in silica glass and
glassy ceramics. In both cases, the 2D height-height correlation function is found to obey …

Material failure often gives rise to strong fluctuations that reflect on the rough trajectory
followed by cracks and on their intermittent dynamics. Deciphering these fluctuations is a …

Many natural fault surfaces exhibit remarkably similar scale‐dependent roughness, which
may reflect the scale‐dependent yield strength of rocks. Using atomic force microscopy …

A new calibration strategy for integral-type nonlocal damage models for quasi-brittle
materials is proposed. It is based on the assumption that in the fracture process zone in …