๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A two dimensional crack problem for an elastic layer bonded to an infinite elastic medium

โœ Scribed by Ranjit S. Dhaliwal

Publisher
Springer Netherlands
Year
1973
Tongue
English
Weight
289 KB
Volume
3
Category
Article
ISSN
0374-3535

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper we consider the problem of determining the distribution of stress in the neighbourhood of a crack in an infinitely long strip bonded to semi-infinite elastic planes on either side. By the use of Fourier transforms we reduce the problem to solving a single Fredholm integral equation of the second kind. Analytical expressions up to the order of 6 -~ยฐ, where 2~ is the thickness of the strip for ~ >> 1 are derived for the shape of the deformed crack and for the crack energy. Some numerical results have been displayed graphically.

๐Ÿ“œ SIMILAR VOLUMES

An incompatible singular elastic element
An incompatible singular elastic element for two- and three-dimensional crack problems
โœ M. A. Astiz ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 981 KB

A new 3 node singular finite element has been derived. This element is incompatible and has to be used in conjunction with incompatible 4 node quadrilateral elements. An extension to three dimensional problems is also presented. This element is used to compute the stress intensity factor along the c

The problem of interaction between a mis
The problem of interaction between a misfitting inclusion and a crack in an infinite elastic medium
โœ P. S. Theocaris; N. I. Ioakimidis ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 380 KB

The problem of interaction between a curvilinear crack (or a system of such cracks) and a misfitting inclusion of arbitrary shape (or a system of such inclusions) inside an infinite isotropic elastic medium of the same material as the inclusion was solved by using the complex potential technique and