The existence of torsional and SH surface waves in a half-space of a homogeneous and
isotropic material is shown to be possible in the context of the complete Toupin–Mindlin …

Consistent modelling of wave motion in microstructured solids is discussed. Based on the
Mindlin model, the simplest model equation of motion is derived. The fundamental …

There are many ways of telling the story of any field of science, or even more broadly, of any
field of human activity. This book is an attempt to tell the story of wave motion, mostly in …

One of the focal points of the research at the Centre for Nonlinear Studies is related to the
numerical simulation of the emergence, propagation and interaction of solitary waves and …

A generalized Coleman–Noll procedure for the exploitation of the entropy principle is
presented. It is shown that it is able to dismantle some physical properties of nonlocal …

The problems under consideration are related to wave propagation in microstructured
materials, characterized by higher-order nonlinear and higher-order dispersive effects; …

Wave propagation in microstructured materials is studied using a Korteweg–de Vries (KdV)-
type nonlinear evolution equation. Due to the microstructure, nonlinear effects are described …

The exploitation of the entropy principle in thermodynamics with Lagrange multipliers (the so
called Liu procedure) is based on the celebrated Liu theorem. In some recent papers, where …

A hierarchical Korteweg–de Vries-type evolution equation is applied for modelling wave
propagation in dilatant granular materials. The model equation is integrated numerically …

The aim of this paper is to propose a possible mathematical model of site effects that occur
when seismic waves propagate through a sediment filled basin. The model is based on the …