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Modelling cracks in arbitrarily shaped finite bodies by distribution of dislocation

journal contribution
posted on 06.12.2017, 00:00 by Jian HanJian Han, Manicka DhanasekarManicka Dhanasekar
This paper presents an analytical method based on the principle of continuous distribution of dislocation to model curved cracks in solids of arbitrarily shaped finite geometries. Both the boundary of the finite body and the curved crack are modelled by distributed dislocation. In this method the influence function of the dislocation along the finite body boundary is reduced to a product of the Hilbert kernel with a normal function. Similarly the influence function for the curved cracks is reduced to the product of Cauchy kernel and a normal function. This approach results in a system of singular integral equations. Using the order decreasing method, the system is reduced to normal integral equations, which are solved numerically. Stress intensity factors are evaluated for a well-known crack problem and two railhead crack problems with a view to assessing the capability of the developed method to solve complex engineering problems.

Funding

Category 1 - Australian Competitive Grants (this includes ARC, NHMRC)

History

Volume

41

Issue

2

Start Page

399

End Page

411

Number of Pages

13

ISSN

0020-7683

Location

Oxford, England

Publisher

Elsevier Ltd, Pergamon

Language

en-aus

Peer Reviewed

Yes

Open Access

No

External Author Affiliations

James Goldston Faculty of Engineering and Physical Systems; TBA Research Institute;

Era Eligible

Yes

Journal

International journal of solids and structures.