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 …

A 3D distinct lattice spring model (DLSM) is proposed where matter is discretized into
individual particles linked by springs. The presented model is different from the conventional …

In this work, a four-dimensional lattice spring model is developed for studying the
mechanical responses of solids. Our results indicate that the Poisson's ratio limitation of the …

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 …

Fracture in disordered media is a complex problem for which a definitive physical and
theoretical treatment is still lacking. We view earthquakes (EQ's) as large-scale fracture …

Im Jahre 2007 wurde der Grundstein einer neuen Kontakt-und Reibungstheorie gelegt, die
sogenannte Dimensionsreduktionsmethode. VL Popov und T. Geike gelang es, den …

Using the global fiber bundle model as a tractable scheme of progressive fracture in
heterogeneous materials, we define the branching ratio in avalanches as a suitable order …

A micro-macro and continuum-discontinuum coupled model and corresponding computer
codes are developed in this thesis for rock dynamics study. Firstly, a new micromechanical …

The existing smoothed particle hydrodynamics (SPH) approaches for propagating fatigue
cracks involve either the deletion of the crack front particle or stopping all its interactions in …

In this paper crack initiation, propagation and branching phenomena are simulated using
the Pseudo-Spring Smoothed Particle Hydrodynamics (SPH) in two and three-dimensional …