scholarly journals Transient wave motions due to an asymmetric shear stress discontinuity in a layered elastic medium

1988 ◽  
Vol 1 (4) ◽  
pp. 361-365
Author(s):  
Narayan Chandra Maiti ◽  
Lokenath Debnath
Keyword(s):  
Shear Stress ◽  
Elastic Medium ◽  
Transient Wave ◽  
Stress Discontinuity

On a moving stress discontinuity in a porous, liquid-saturated solid

1966 ◽  
Vol 56 (6) ◽  
pp. 1373-1385
Author(s):  
Arabinda Mukhopadhyay
Keyword(s):  
Shear Stress ◽  
Porous Solid ◽  
Delta Functions ◽  
Stress Discontinuity

Abstract The stresses produced in a liquid-saturated porous solid by a moving discontinuity of shear stress inside the medium have been considered in this paper. The solutions for the stresses have been obtained in simple closed forms for certain types of moving stress discontinuity. It has been found that the nature of the stresses depends considerably on the velocity of the moving stress discontinuity. If this velocity exceeds a certain value, depending on the nature of the medium, the solutions for the stresses are found to contain delta functions, which are taken to represent discontinuities of stress along certain lines.

Transient Shear Waves in Two Joined Elastic Quarter Spaces

1969 ◽  
Vol 36 (3) ◽  
pp. 491-496 ◽  
Author(s):  
J. D. Achenbach
Keyword(s):  
Shear Stress ◽  
Logarithmic Singularity ◽  
Transient Wave ◽  
Interface Shear ◽  
Interface Shear Stress ◽  
Dirac Delta ◽  
Homogeneous Solutions ◽  
Wave Propagation Problem ◽  
Transient Wave Propagation ◽  
Delta Functions

A half space composed of two joined elastic quarter spaces of different material properties is subjected to time-varying shear tractions, which are applied parallel to the plane of juncture. The method of homogeneous solutions is used to solve the transient wave-propagation problem for the case that the surface tractions vary in time as Dirac delta functions. For surface tractions varying in time as Heaviside step functions, Duhamel superposition is employed to derive closed-form expressions for the shear stress in the plane of juncture. The interface shear stress shows a logarithmic singularity at the free surface.

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