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Analytical solution of cracked shell resting on elastic foundation
Faculty
Not Specified
Year:
1996
Type of Publication:
Article
Pages:
306-319
Authors:
Nassar, M, Mohamed, SA, Matbuly, MS, Bichir, S
Journal:
ACTA MECHANICA SOLIDA SINICA ACTA MECHANICA SOLIDA SINICA
Volume:
9
Research Area:
Materials Science; Mechanics
ISSN
ISI:A1996WC48700003
Keywords :
elastic foundation, cracked shell, integral transform
Abstract:
The elastostatic problem for cracked shallow spherical shell resting on linear elastic foundation is considered. The problem is formulated for a homogeneous isotropic material within the confines of a linearized shallow shell theory. By making use of integral transforms and asymptotic analysis, the problem is reduced to the solution of a pair of singular integral equations, The stress distribution obtained, around the crack tip, is similar to that of the elasticity solutions. The numerical results obtained agree well with those of previous work, where the elastic supports were neglected. The influences of the shell curvature and the modulus of subgrade reaction on the stress intensity. factor are given.
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