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Paper Information

Journal:   IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)   NOVEMBER 2007 , Volume 2 , Number 2; Page(s) 1 To 16.
 
Paper: 

THE EFFECT OF PURE SHEAR ON THE REFLECTION OF PLANE WAVES AT THE BOUNDARY OF AN ELASTIC HALF-SPACE

 
 
Author(s):  HUSSAIN W.*
 
* DEPARTMENT OF MATHEMATICS, FORMAN CHRISTIAN COLLEGE (A CHARTERED UNIVERSITY) FEROZEPUR ROAD, LAHORE, PAKISTAN
 
Abstract: 

This paper is concerned with the effect of pure shear on the reflection from a plane boundary of infinitesimal plane waves propagating in a half-space of incompressible isotropic elastic material.
For a special class of constitutive laws it is shown that an incident plane harmonic wave propagating in the considered plane gives rise to a surface wave in addition to a reflected wave (with angle of reflection equal to the angle of incidence) although its amplitude may vanish at certain discrete angles but is independent of the state of deformation. Reflected wave amplitude is exactly equal to one in this case.
For a second class of constitutive laws similar behavior is found for certain combinations of angle of incidence, material properties and deformations, but additional possibilities also arise. In particular, there may be two reflected waves instead of one reflected wave and a surface wave. Here surface wave amplitude depends upon the pure shear and the reflected wave amplitude is not equal to one in general.
The dependence of the amplitudes of the reflected, and surface waves on the angle of incidence, the states of deformation is illustrated graphically.

 
Keyword(s): ELASTIC WAVES, PURE SHEAR, REFLECTION, NON-LINEAR ELASTICITY
 
 
References: 
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Cite:
APA: Copy

HUSSAIN, W. (2007). THE EFFECT OF PURE SHEAR ON THE REFLECTION OF PLANE WAVES AT THE BOUNDARY OF AN ELASTIC HALF-SPACE. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 2(2), 1-16. https://www.sid.ir/en/journal/ViewPaper.aspx?id=134146



Vancouver: Copy

HUSSAIN W.. THE EFFECT OF PURE SHEAR ON THE REFLECTION OF PLANE WAVES AT THE BOUNDARY OF AN ELASTIC HALF-SPACE. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI). 2007 [cited 2021April15];2(2):1-16. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=134146



IEEE: Copy

HUSSAIN, W., 2007. THE EFFECT OF PURE SHEAR ON THE REFLECTION OF PLANE WAVES AT THE BOUNDARY OF AN ELASTIC HALF-SPACE. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), [online] 2(2), pp.1-16. Available at: <https://www.sid.ir/en/journal/ViewPaper.aspx?id=134146>.



 
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