A Mixed Boundary Value Problem of Elastostatics for an Isotropic Elastic Cylinder Containing a Strip Crack Opened by Internal Pressure

It is shown that stress distribution in a long isotropic elastic cylinder containing a strip crack situated symmetrically on a diametral plane can be determined from a Fredholm integral equation of the second kind. Certain nonvariable-separable solutions are used to determine the Airy stress functio...

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Bibliographic Details
Published in:SIAM journal on applied mathematics 1968-09, Vol.16 (5), p.1101-1118
Main Authors: Srivastav, R. P., Narain, Prem
Format: Article
Language:English
Subjects:
Boundary conditions
Boundary value problems
Coefficients
Cylinders
Differential equations
Elastic cylinders
Elastostatics
Integral equations
Internal pressure
Sine function
Stress distribution
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Summary:It is shown that stress distribution in a long isotropic elastic cylinder containing a strip crack situated symmetrically on a diametral plane can be determined from a Fredholm integral equation of the second kind. Certain nonvariable-separable solutions are used to determine the Airy stress function. Discussion of a mixed boundary value problem for Laplace's equation precedes the elasticity problem for a better appreciation of the method. Crack energy is computed from the numerical solution of the integral equation.
ISSN:0036-1399
1095-712X
DOI:10.1137/0116090