Infinite cylinder with a transverse crack and two rigid inclusions under axial tension

Date

1999-09-15

Author

Toygar, ME
Gecit, MR

Metadata

Show full item record

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

Item Usage Stats

152
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 lumps, Formulation of the mixed boundary problem under consideration is reduced to three singular integral equations in terms of the derivative of the crack surface displacement and the stress jump 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.

URI

https://hdl.handle.net/11511/66089

Collections

Department of Engineering Sciences, Conference / Seminar

Suggestions

OpenMETU
Core

Cracked infinite cylinder with two rigid inclusions under axisymmetric tension Toygar, M. Evren; Gecit, M. Rusen (2006-08-01) 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 stre...
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...
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...
Finite rigid sets in curve complexes of non-orientable surfaces Ilbıra, Sabahattin; Korkmaz, Mustafa; Department of Mathematics (2017) A finite rigid set in a curve complex of a surface is a subcomplex such that every locally injective simplicial map defined on this subcomplex into the curve complex is induced from an automorphism of curve complex. In this thesisi we find finite rigid sets in the curve complexes of connected, non-orientable surfaces of genus g with n holes, where g+n neq 4.
Transient response of an infinite elastic medium containing a spherical cavity with and without a shell embedment Akkas, N; Zakout, U (1997-01-01) The analytical solution is obtained for the transient response to an axisymmetric and non-torsional surface load of an infinite, isotropic, elastic medium containing a spherical cavity with and without a thin elastic shell embedment using the Residual Variable Method. The main advantage of the present approach is that it eliminates the computational problems arising in the existing methods which are primarily based on the Fourier transformation technique. Extensive numerical results for the displacements an...

Citation Formats

M. Toygar and M. Gecit, “Infinite cylinder with a transverse crack and two rigid inclusions under axial tension,” 1999, p. 179, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/66089.