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Ring shaped crack problem for a hollow cylinder imbedded in a dissimilar medium
Date
2005-12-01
Author
Kadıoğlu, Fevzi Suat
Metadata
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The analytical solution for the linear elastic problem of an internal ring-shaped crack in a transversely isotropic hollow cylinder imbedded in a transversely isotropic medium is considered. The hollow cylinder is assumed to be perfectly bonded to the surrounding medium. This structure is subjected to uniform crack surface tractions. Because of the geometry and the loading, the problem is axisymmetric. The z=0 plane on which the crack lies, is also taken to be a plane of symmetry. The composite media consisting of the hollow cylinder and the surrounding medium extends to infinity in z and r directions. The mixed boundary value problem is formulated in terms of the unknown derivative of the crack surface displacement by using Fourier and Hankel transforms. The resulting singular integral equation is solved numerically for sample cases and stress intensity factors at the circumferential crack front are presented.
Subject Keywords
A-Plane
,
Axisymmetric
,
Circumferential Cracks
,
Composite Media
,
Crack Problems
,
Crack Surface Traction
,
Crack Surfaces
,
Fourier
,
Hankel Transform
,
Hollow Cylinders
,
Linear Elastic
,
Mixed Boundary-Value Problem
,
Singular Integral Equations
,
Transversely Isotropic
,
Transversely Isotropic Medium
URI
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84869784114&origin=inward
https://hdl.handle.net/11511/84636
Conference Name
11th International Conference on Fracture 2005, ICF11 (20 - 25 Mart 2005)
Collections
Department of Mechanical Engineering, Conference / Seminar
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Circumferentially cracked bimaterial hollow cylinder under mechanical and transient thermal loading
Kadıoğlu, Fevzi Suat (Informa UK Limited, 2006-12-01)
The analytical solution for the problem of a circumferential inner surface crack in an elastic, infinitely long composite hollow cylinder, made of two concentric perfectly bonded transversely isotropic cylinders is considered. Uniform axial loading and thermal loading in the form of a sudden cooling on the inner boundary are considered. Out of 10 material parameters involved, two bimaterial parameters and three material parameters for each layer upon which the stress intensity factor depends under uniform l...
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This article presents an analytical method capable of resolving the coupled problem of surface cracking in an orthotropic elastic medium subjected to frictional contact by a rigid flat punch. Reciprocal influences between the surface crack and the flat punch are accounted for by establishing a fully coupled formulation. Governing partial differential equations involving the displacement components are derived in accordance with plane theory of orthotropic elasticity. General solutions corresponding to mode ...
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BibTeX
F. S. Kadıoğlu, “Ring shaped crack problem for a hollow cylinder imbedded in a dissimilar medium,” Turin, İtalya, 2005, vol. 1, p. 327, Accessed: 00, 2021. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84869784114&origin=inward.