Scattering of Stress Waves by a Circular Elastic Cylinder Embedded in an Elastic Medium

1970 ◽  
Vol 37 (2) ◽  
pp. 345-355 ◽  
Author(s):  
W. L. Ko
Keyword(s):  
Elastic Medium ◽  
Wave Front ◽  
Early Stage ◽  
Elastic Cylinder ◽  
Stress Waves ◽  
Front Solution ◽  
Integral Formulas ◽  
Incident Plane ◽  
Geometrical Acoustics ◽  
Singular Wave

Scattering of stress waves by a circular elastic cylinder embedded in an elastic medium is investigated. The axis of the scatterer is perpendicular to the propagation vector of the incident plane compressional stress pulse wave. Making use of modified Kirchhoff’s integral formulas developed for elastodynamics by Ko [1], wave-front stresses and displacements during the early stage of interaction are obtained for both interior and exterior fields, and for the scatterer-medium interface. The solutions are valid for the whole spectrum of material properties of the scatterer ranging from void to infinitely dense materials. It is found that Kirchhoff’s method of retarded potentials predicts singular wave-front response at caustics as does the geometrical acoustics. The basic integral equations presented are applicable to a scatterer of arbitrary shape and do not only give the wave-front solution, but also the solutions after the arrival of the wave front.

Propagation of spherical stress waves in an elastic medium

1971 ◽  
Vol 7 (5) ◽  
pp. 561-563
Author(s):  
P. I. Plakhotnyi
Keyword(s):  
Elastic Medium ◽  
Stress Waves

scholarly journals Wave-front solution in extended quantum circuits with charge discreteness

2006 ◽  
Vol 74 (19) ◽  
Author(s):  
J. C. Flores ◽  
Mauro Bologna ◽  
K. J. Chandía ◽  
Constantino A. Utreras Díaz
Keyword(s):  
Wave Front ◽  
Quantum Circuits ◽  
Front Solution

On diffracted wave fronts

1979 ◽  
Vol 84 (1-2) ◽  
pp. 35-54
Author(s):  
Peter Wolfe
Keyword(s):  
Wave Equation ◽  
Wave Front ◽  
Incident Wave ◽  
Spherical Wave ◽  
Small Time ◽  
Time Interval ◽  
Wave Fronts ◽  
Incident Plane ◽  
Small Time Interval ◽  
Propagation Of Singularities

SynopsisIn this paper we study the wave equation, in particular the propagation of discontinuities. Two problems are considered: diffraction of a normally incident plane pulse by a plane screen and diffraction of a spherical wave by the same screen. It is shown that when an incident wave front strikes the edge of the screen a diffracted wave front is produced. The discontinuities are precisely computed in a neighbourhood of the edge for a small time interval after the arrival of the incident wave front and a theorem of Hörmander on the propagation of singularities is used to obtain a globalresult.

A Diffraction Problem and Crack Propagation

1967 ◽  
Vol 34 (1) ◽  
pp. 100-103 ◽  
Author(s):  
A. Jahanshahi
Keyword(s):  
Exact Solution ◽  
Stress Field ◽  
Crack Propagation ◽  
Elastic Medium ◽  
Half Plane ◽  
Diffraction Problem ◽  
Shear Waves ◽  
Stress Waves ◽  
Plane Crack ◽  
Antiplane Strain

The exact solution to the problem of diffraction of plane harmonic polarized shear waves by a half-plane crack extending under antiplane strain is constructed. The solution is employed to study the nature of the stress field associated with an extending crack in an elastic medium excited by stress waves.

scholarly journals Diffraction of Steady Stress Waves by Arbitrary Shaped Discontinuities in Elastic Medium

1980 ◽  
Vol 23 (178) ◽  
pp. 493-500 ◽  
Author(s):  
Masao SHIBAHARA ◽  
Shigeaki TATENO ◽  
Osamu KUROYANAGI
Keyword(s):  
Elastic Medium ◽  
Stress Waves

Wave Propagation Through Soft Tissue: Effect of Material Nonlinearity and Nonuniform Cross–Section

2014 ◽  
Author(s):  
Marcelo F. Valdez ◽  
Balakumar Balachandran
Keyword(s):  
Wave Propagation ◽  
Soft Tissue ◽  
Mechanical Behavior ◽  
Wave Front ◽  
Nonlinear Wave ◽  
Cross Section ◽  
Stress Waves ◽  
Sectional Area ◽  
Longitudinal Stress ◽  
Cross Sectional

A better understanding of the influence of material nonlinearities on the propagation of mechanical stress waves is necessary to generate insights into damage mechanisms of soft tissues subjected to rapid and strong external excitations. In this effort, the authors study the propagation of longitudinal stress waves through soft tissue. Emphasis is placed on the influence of nonlinear material behavior and nonuniform cross–section on the characteristics of the stress–wave propagation. The mechanical behavior of the soft tissue is represented by a nonlinear viscoelastic model that is obtained through a maximum dissipation, thermodynamically consistent construction. The effect of the tissue nonlinear mechanical behavior is studied through asymptotic analysis. Examining the obtained analytical approximation, it is possible to discern nonlinear wave front steepening and the effect of the material dissipation. The effects of a nonuniform cross–sectional area are investigated through numerical simulations. These studies can be applied to understand the effect of geometric features of axons on the propagation of longitudinal stress waves. For example, the diameter of an axon gradually increases near its ends, and varicosities/boutons along the axons represent concentrated cross–sectional area variations. Simulations are carried out to examine various aspects of the nonlinear wave propagation such as wave front steepening. This work can serve as a basis for better understanding the mechanical causes underlying mild traumatic brain injury caused by a head impact or explosive blast waves.

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