The stress intensity factors for an infinitely long transversely isotropic, thick-walled cylinder which contains a ring-shaped crack

Date

1996-01-01

Author

Altinel, T
Fildis, H
Yahsi, OS

Metadata

Show full item record

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

Item Usage Stats

155
views

0
downloads

In this study the elastostatic axisymmetric problem for a long thick-walled transversely anisotropic cylinder containing a ring-shaped internal crack is analyzed. The problem is reduced to a singular integral equation which has a simple Cauchy kernel as the dominant part by using Hankel and Fourier transform techniques. These equations are then solved numerically and the stress intensity factors are calculated.

Subject Keywords

Modelling and Simulation, Mechanics of Materials, Computational Mechanics

URI

https://hdl.handle.net/11511/66879

Journal

INTERNATIONAL JOURNAL OF FRACTURE

DOI

https://doi.org/10.1007/bf00034526

Collections

Department of Mechanical Engineering, Article

Suggestions

OpenMETU
Core

Three dimensional fracture analysis of FGM coatings under thermomechanical loading Yildirim, B; Dağ, Serkan; Erdogan, E (Springer Science and Business Media LLC, 2005-04-01) The main objective of this study is to examine the three dimensional surface crack problems in functionally graded coatings subjected to mode I mechanical or transient thermal loading. The surface cracks are assumed to have a semi-elliptical crack front profile of arbitrary aspect ratio. The cracks are embedded in the functionally graded material (FGM) coating which is perfectly bonded to a homogeneous substrate. A three dimensional finite element method is used to solve the thermal and structural problems....
The axisymmetric crack problem in a non-homogeneous interfacial region between homogeneous half-spaces Fildis, H; Yahsi, OS (Springer Science and Business Media LLC, 1996-01-01) In this paper, the axisymmetric crack problem in a non-homogeneous interfacial region between two homogeneous half-spaces is considered. It is assumed that the shear modulus varies continuously between that of the two half-spaces; and the shear modulus for the interface region is approximated by mu = mu(o) e(mz). By using Hankel transform technique the problem is reduced to a pair of singular integral equations. The solutions of the problem are obtained for different material combinations and loading condit...
Interface crack problems in graded orthotropic media: Analytical and computational approaches Dağ, Serkan; Erdogan, F (Springer Science and Business Media LLC, 2004-11-01) Interface crack problems in graded orthotropic media are considered using analytical and computational techniques. In the analytical formulation an interface crack between a graded orthotropic coating and a homogeneous orthotropic substrate is considered. The principal axes of orthotropy are assumed to be parallel and perpendicular to the crack plane. Mechanical properties of the medium are assumed to be continuous with discontinuous derivatives at the interface. The problem is formulated in terms of the av...
Frictionless double contact problem for an axisymmetric elastic layer between an elastic stamp and a flat support with a circular hole Mert, Oya; Geçit, M. Ruşen; Department of Engineering Sciences (2011) This study considers the elastostatic contact problem of a semi-infinite cylinder. The cylinder is compressed against a layer lying on a rigid foundation. There is a sharp-edged circular hole in the middle of the foundation. It is assumed that all the contacting surfaces are frictionless and only compressive normal tractions can be transmitted through the interfaces. The contact along interfaces of the elastic layer and the rigid foundation forms a circular area of which outer diameter is unknown. The probl...
A computational framework of configurational-force-driven brittle fracture based on incremental energy minimization MIEHE, CHRISTIAN; Gürses, Ercan; BIRKLE, MANUEL (Springer Science and Business Media LLC, 2007-06-01) A variational formulation of quasi-static brittle fracture in elastic solids at small strains is proposed and an associated finite element implementation is presented. On the theoretical side, a consistent thermodynamic framework for brittle crack propagation is outlined. It is shown that both the elastic equilibrium response as well as the local crack evolution follow in a natural format by exploitation of a global Clausius-Planck inequality. Here, the canonical direction of the crack propagation associate...

Citation Formats

T. Altinel, H. Fildis, and O. Yahsi, “The stress intensity factors for an infinitely long transversely isotropic, thick-walled cylinder which contains a ring-shaped crack,” INTERNATIONAL JOURNAL OF FRACTURE, pp. 211–225, 1996, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/66879.