scholarly journals Converging super-elliptic torsional shear waves in a bounded transverse isotropic viscoelastic material with nonhomogeneous outer boundary

2019 ◽  
Vol 146 (5) ◽  
pp. EL451-EL457
Author(s):  
Martina Guidetti ◽  
Diego Caratelli ◽  
Thomas J. Royston
2015 ◽  
Vol 60 (9) ◽  
pp. 3639-3654 ◽  
Author(s):  
Simon Chatelin ◽  
Jean-Luc Gennisson ◽  
Miguel Bernal ◽  
Mickael Tanter ◽  
Mathieu Pernot

1973 ◽  
Vol 8 (3) ◽  
pp. 397-411 ◽  
Author(s):  
T. Bryant Moodie

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.


Author(s):  
A. K. Chatterjee ◽  
A. K. Mal ◽  
L. Knopoff ◽  
J. A. Hudson

AbstractThe problem of the determination of the overall dynamic elastic moduli of an elastic solid permeated by uniformly distributed penny-shaped cracks is considered. The cracks are assumed to be filled with a viscoelastic material. The orientations of the cracks may be either parallel or perfectly random. The overall velocities as well as the specific attenuation coefficients of plane harmonic compressional and shear waves are calculated for low frequencies and dilute concentration of the cracks.


Geophysics ◽  
1981 ◽  
Vol 46 (11) ◽  
pp. 1607-1608 ◽  
Author(s):  
I. J. Won ◽  
J. W. Clough

A simple new device for generating shear waves on the ground surface has been developed and tested. The device is designed for determining elastic moduli of earth materials at shallow depths, in connection with engineering applications. However, with proper modifications, it may be developed into a larger unit for deeper exploration.


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