Propagation of Shear‐Stress Waves in an Infinite Nonhomogeneous Elastic Medium with Cylindrical Cavity

1969 ◽  
Vol 46 (5B) ◽  
pp. 1381-1382 ◽  
Author(s):  
Damoder P. Reddy ◽  
Melvin G. Marietta
Keyword(s):  
Shear Stress ◽  
Elastic Medium ◽  
Cylindrical Cavity ◽  
Stress Waves

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

Diffraction of sound at a large cylindrical cavity inside an elastic medium

1976 ◽  
Vol 12 (3) ◽  
pp. 224-229
Author(s):  
V. E. Chabanov ◽  
Yu. P. Shchev'ev ◽  
L. Ya. Dubovik
Keyword(s):  
Elastic Medium ◽  
Cylindrical Cavity

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.

Helical normal waves near a cylindrical cavity in an elastic medium

2010 ◽  
Vol 56 (2) ◽  
pp. 141-144 ◽  
Author(s):  
V. V. Tyutekin ◽  
A. I. Boiko
Keyword(s):  
Elastic Medium ◽  
Cylindrical Cavity ◽  
Normal Waves

The Non-Local Theory Solution of a Crack in the Functionally Graded Piezoelectric Materials Subjected to the Harmonic Anti-Plane Shear Stress Waves

2007 ◽  
Vol 353-358 ◽  
pp. 258-262
Author(s):  
Zhen Gong Zhou ◽  
Lin Zhi Wu
Keyword(s):  
Shear Stress ◽  
Piezoelectric Materials ◽  
Electric Displacement ◽  
Stress Waves ◽  
Functionally Graded ◽  
Local Theory ◽  
Plane Shear ◽  
Functionally Graded Piezoelectric Materials ◽  
Non Local ◽  
Functionally Graded Piezoelectric

In this paper, the non-local theory of elasticity was applied to obtain the dynamic behavior of a Griffith crack in functionally graded piezoelectric materials under the harmonic anti-plane shear stress waves. The problem can be solved with the help of a pair of dual integral equations. Unlike the classical elasticity solutions, it is found that no stress and electric displacement singularities are present at the crack tips, thus allows us to use the maximum stress as a fracture criterion.

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