On the propagation, reflection, and transmission of transient cylindrical shear waves in nonhomogeneous four-parameter viscoelastic media

Author:

Moodie T. Bryant

Abstract

The purpose of this paper is to study the propagation of cylindrical shear waves in nonhomogeneous four-parameter viscoelastic plates of arbitrary thickness. The plates have a transverse cylindrical hole and their material properties are functions of the radial distance from the center of this opening. They are initially unstressed and at rest. A suddenly rising shearing traction is applied uniformly over the boundary of the opening and parallel to the faces of the plates and thereafter steadily maintained; they are otherwise free from loading. We consider both the case of a finite plate with a stress-free cylindrical outer boundary, and an infinite plate composed of two media in welded contact along a cylindrical surface symmetrical with respect to the center of the opening. We find that a reflected pulse is produced at the outer boundary of the finite plate while reflected and transmitted pulses are produced at the interface in the infinite bi-viscoelastic plate. Ray techniques are used throughout, and formal asymptotic wavefront expansions of the solution functions are obtained.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference19 articles.

1. Simple progressive solutions of the wave equation

2. Series transform solutions for Voigt transients

3. On the propagation of radially symmetric waves in nonhomogeneous isotropic elastic media”;Hoodie;Utilitas Math.,1972

4. An asymptotic solution of Maxwell's equations

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1. Rheological behaviour and applicability of viscoelastic model for wave propagation in non-homogeneous polymer rods;Multidiscipline Modeling in Materials and Structures;2014-06-03

2. References;Mathematics in Science and Engineering;1982

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4. Verifications of a formal technique for viscoelastodynamics;Bulletin of the Australian Mathematical Society;1974-10

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