Action of an internal pressure wave on a rigid spherical cavity

1974 ◽  
Vol 10 (8) ◽  
pp. 846-850
Author(s):  
A. �. Babaev
1965 ◽  
Vol 37 (6) ◽  
pp. 1208-1208
Author(s):  
Jessie M. Young ◽  
Howard S. Bowman

1960 ◽  
Vol 27 (4) ◽  
pp. 726-732 ◽  
Author(s):  
T. P. Mitchell ◽  
J. A. Weese

Boussinesq-Papkovich potentials are used in conjunction with the bispherical co-ordinate system to analyze three problems in the classical theory of linear elasticity: (a) The extension of the Boussinesq point-load problem to that in which the half-space contains a spherical cavity; (b) the determination of the stress distribution in an eccentric spherical shell under uniform internal pressure; (c) the determination of the stress distribution in a half-space containing a uniformly pressurized spherical cavity. Numerical results are presented for representative configurations and load distributions in each case.


Materials ◽  
2021 ◽  
Vol 14 (11) ◽  
pp. 3057
Author(s):  
Mechri Abdelghani ◽  
Ghomari Tewfik ◽  
Maciej Witek ◽  
Djouadi Djahida

In this paper, an accurate distribution of stress as well as corresponding factors of stress concentration determination around a spherical cavity, which is considered as embedded in a cylinder exposed to the internal pressure only, is presented. This approach was applied at three main meridians of the porosity by combining the Eshelby’s equivalent inclusion method with Mura and Chang’s methodology employing the jump condition across the interface of the cavity and matrix, respectively. The distribution of stresses around the spherical flaw and their concentration factors were formulated in the form of newly formulated analytical relations involving the geometric ratio of the cylinder, such as external radius and thickness, the angle around the cavity, depth of the porosity, as well as the material Poisson ratio. Subsequently, a comparison of the analytical results and the numerical simulation results is applied to validate obtained results. The results show that the stress concentration factors (SCFs) are not constant for an incorporated flaw and vary with both the porosity depth and the Poisson ratio, regardless of whether the cylinder geometric ratio is thin or thick.


2011 ◽  
Vol 137 ◽  
pp. 77-81
Author(s):  
Shaofang Shi ◽  
Qi Zhi Wang ◽  
Ping Jun Li

The singular stress problem of a flat annular crack around a spherical cavity subjected to internal pressure is investigated. By application of an integral transforms and the theory of triple integral equations, the problem is reduced to the solution of a singular integral equation of the first kind. The equations gotten for the case of peripheral edge crack around a spherical cavity is solved numerically, and the stress intensity factors are shown graphically. The results in this paper are basically consistent with the existing literature in special cases.


Author(s):  
Ginzo MITSUKAWA ◽  
Kazutoshi MICHIHIRO ◽  
Kazunari FUJII ◽  
Masayoshi NAKANO

2011 ◽  
Vol 131 (7) ◽  
pp. 574-583 ◽  
Author(s):  
Shin-ichi Tanaka ◽  
Tsukasa Miyagi ◽  
Mikimasa Iwata ◽  
Tadashi Amakawa

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