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On the penny-shaped crack in inhomogeneous elastic materials under normal extension

✍ Scribed by M.E. Ergüven; D. Gross

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
327 KB
Volume
36
Category
Article
ISSN
0020-7683

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✦ Synopsis

The solution of the problem of a penny!shaped crack in an inhomogeneous material with elastic coe.cients which are varying continuously along the direction perpendicular to the crack is examined in this paper[ We studied the problem for an inhomogeneous material which satis_es the conditions of either torsional deformation and normal extension[ A series form solution to the problem is proposed and analytical expressions for the _rst two terms of the series are obtained by using a Hankel transform technique[ In the solution a homogeneous body is chosen as the reference so that inhomogeneous quantities are treated as being perturbed from the zero|s reference solutions[ Closed form expressions for the relevant stress intensity factors and the crack energy are derived and speci_c cases of the problem are also considered[

📜 SIMILAR VOLUMES

The stress intensity factor for a penny-
The stress intensity factor for a penny-shaped crack in an elastic body under the action of symmetric body forces
✍ Ian N. Sneddon; John Tweed 📂 Article 📅 1967 🏛 Springer Netherlands 🌐 English ⚖ 332 KB

A formula is derived for the stress intensity factor at the rim of a penny-shaped crack in an infinite solid in which there is an axisymmetric distributing of body forces acting in a direction normal to the original crack surfaces. An expression for the surface displacement of the crack is also give