Cracked infinite cylinder with two rigid inclusions under axisymmetric tension

Date

2006-08-01

Author

Toygar, M. Evren
Gecit, M. Rusen

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

207
views

0
downloads

This paper considers the problem of an axisymmetric infinite cylinder with a ring shaped crack at z = 0 and two ring-shaped rigid inclusions with negligible thickness at z = +/- L. The cylinder is under the action of uniformly distributed axial tension applied at infinity and its lateral surface is free of traction. It is assumed that the material of the cylinder is linearly elastic and isotropic. Crack surfaces are free and the constant displacements are continuous along the rigid inclusions while the stresses have jumps. Formulation of the mixed boundary value problem under consideration is reduced to three singular integral equations in terms of the derivative of the crack surface displacement and the stress jumps on the rigid inclusions. These equations, together with the single-valuedness condition for the displacements around the crack and the equilibrium equations along the inclusions, are converted to a system of linear algebraic equations, which is solved numerically. Stress intensity factors are calculated and presented in graphical form.

Subject Keywords

Singular integral equation, Inclusion, Fracture mechanics, Stress intensity factor, Crack

URI

https://hdl.handle.net/11511/65571

Journal

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

DOI

https://doi.org/10.1016/j.ijsolstr.2005.07.02

Collections

Department of Engineering Sciences, Article

Suggestions

OpenMETU
Core

Surface cracking in an orthotropic medium subjected to frictional contact Sarikaya, Duygu; Dağ, Serkan (2016-07-01) 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 ...
T-shaped crack problem for bonded orthotropic layers Erdogan, F.; Kadıoğlu, Fevzi Suat (1994-06-01) The plane elasticity problem of two perfectly bonded orthotropic layers containing cracks perpendicular to and along the interface is considered. Cracks are extended to intersect the boundaries and each other in such a way that a crack configuration suitable to study the T-shaped crack problem is obtained. The problem is reduced to the solution of a system of singular integral equations with Cauchy type singularities. Numerical results for stress intensity factors and energy release rates are presented for ...
Edge cracks in a transversely isotropic hollow cylinder Kadıoğlu, Fevzi Suat (Elsevier BV, 2005-09-01) The analytical solution for the linear elastic, axisymmetric problem of inner and outer edge cracks in a transversely isotropic infinitely long hollow cylinder is considered. The z = 0 plane on which the crack lies is a plane of symmetry. The loading is uniform crack surface pressure. The mixed boundary value problem is reduced to a singular integral equation where the unknown is the derivative of the crack surface displacement. An asymptotic analysis is done to derive the generalized Cauchy kernel associat...
Infinite cylinder with a transverse crack and two rigid inclusions under axial tension Toygar, ME; Gecit, MR (1999-09-15) This paper considers the problem of an axisymmetric infinite cylinder with a ring shaped crack at z = 0 and two ring-shaped rigid inclusions with negligible thickness at z = +/-L. The cylinder is under the action of uniformly distributed axial tension applied at infinity and its lateral surface is free of traction. It is assumed that the material of the cylinder is linearly elastic and isotropic. Crack surfaces are free and the constant displacements are continuous along the rigid inclusions while the stres...
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...

Citation Formats

M. E. Toygar and M. R. Gecit, “Cracked infinite cylinder with two rigid inclusions under axisymmetric tension,” INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, pp. 4777–4794, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65571.