The present state-of-the-art article is devoted to the analysis of new trends and recent results
carried out during the last 10 years in the field of fractional calculus application to dynamic …

This article reviews convolution quadrature and its uses, extends the known approximation
results for the case of sectorial Laplace transforms to finite-part convolutions with non …

Wave propagation is an important topic in engineering sciences, especially, in the field of
solid mechanics. A description of wave propagation phenomena is given by Graff [98]: The …

Time-dependent problems that are modeled by initial-boundary value problems for
parabolic or hyperbolic partial differential equations can be treated with the boundary …

Biot's theory of porous media governs the wave propagation in a porous, elastic solid
infiltrated with fluid. In this theory, a second compressional wave, known as the slow wave …

Wave propagation in porous media is an important topic for example in geomechanics or oil-
industry. Especially due to the interplay of the solid skeleton with the fluid the so-called …

The aim of the study is to evaluate the 3D dynamic response of a finite geological region
containing two structures and rested on a semi-infinite elastic layered half-space with a …

The dynamic responses of fluid-saturated semi-infinite porous continua to transient
excitations such as seismic waves or ground vibrations are important in the design of soil …

In this review paper, we concentrate on the use of boundary integral equation (BIE) based
methods for the numerical modeling of elastic wave motion in naturally occurring media. The …

In this research, the mechanism of energy dissipation in viscoelastic materials is presented
by extracting time-dependent displacement and stress–strain distribution analysis in a …