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On some problems of SH wave propagation in inhomogeneous elastic bodies

Kowalczyk S., Matysiak S. J., Perkowski D. M.

Journal of Theoretical and Applied Mechanics

2016

Vol. 54 nr 4

1125--1135

The paper deals with the propagation of shear horizontal (SH) waves in an nonhomogeneous elastic half-space composed of a layer whose shear modulus and mass density have a power dependence on the distance from the lower plane and the periodically stratified half-space. The equation which relates the wave speed to the wave-number and functions of the shear modulus and mass density is derived. The wave velocity is analyzed numerically. Especially, the influence of mechanical properties of the coating layer and the stratified foundation on the wave velocity is presented in the form of figures.

SH waves in a layer with temperature dependent properties

Matysiak S. J., Mieszkowski R., Perkowski D. M.

Acta Geophysica

2014

Vol. 62, no. 6

1203--1213

The paper deals with the problem of SH harmonic wave propagation in an elastic layer with temperature dependent properties. The shear modulus and mass density are linearly dependent on temperature. The layer is rested on a rigid foundation and the upper boundary is free of loadings. The boundary planes are kept at different constant temperatures. The wave velocity and amplitude of stresses are analysed.

Non-plane wave scattering from a single eccentric circular inclusion - Part I: SH waves

Weber W., Zastrau B. W.

Journal of Theoretical and Applied Mechanics

2011

Vol. 49 nr 4

1183-1201

In this contribution, an analytical formalism for investigating the scattering behaviour of a single multi-layered inclusion in a homogeneous isotropic matrix under the influence of non-plane elastic SH waves is derived. Herein, the inclusion is assumed to have a circular shape with its layers being eccentrically arranged. Numerical examples are performed with Textile Reinforced Concrete, a new building material in civil engineering. Within these investigations both shielding and amplification of SH waves is shown.

W pracy przedstawiono analityczny formalizm zagadnienia rozpraszania fal na pojedynczym, wielowarstwowymwtrąceniu materiałowym w izotropowej, jednorodnej strukturze osnowy poddanej działaniu niepłaskich fal spolaryzowanych w płaszczyźnie poziomej (fale typu SH). Założono, że wtrącenie ma kołowy kształt, a jego warstwy są rozmieszczone mimośrodowo. Zamieszczono rezultaty symulacji numerycznych na przykładzie nowego materiału budowlanego, jakim jest beton wzmacniany tekstyliami. Pokazano efekt ekranowania i wzmacniania fal SH w takiej strukturze.

Reflection/transmission of plane SH wave through a self-reinforced elastic layer between two half-spaces

Chaudhary S., Kaushik V., Tomar S.

Acta Geophysica Polonica

2004

Vol. 52, nr 2

219-235

The reflection and transmission of plane SH wave through a self-rein-forced elastic layer sandwiched between two homogeneous viscoelastic solid half-spaces has been studied. The expressions for reflection and transmission coefficients are obtained. These coefficients are computed against the angle of incidence, normalized wave number and the reinforced parameters. The results obtained have been presented graphically. The problem studied by Borcherdt has been reduced as a special case of our problem. It is found that reflection and transmission coefficients depend on the angle of incidence, normalized wave number and the reinforcement parameters of the sandwiched layer.