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Junction conditions for cracked elastic thin solids under bending and shear

Gei, Massimiliano, Movchan, A. B. and Jones, I. S. 2009. Junction conditions for cracked elastic thin solids under bending and shear. Quarterly Journal of Mechanics and Applied Mathematics 62 (4) , pp. 481-493. 10.1093/qjmam/hbp017

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Abstract

The paper presents an asymptotic model of the spring-like behaviour of small elastic junctions within two-dimensional thin solids subjected to a flexural or shearing load. The approach employs the method of compound asymptotic expansions. It is shown that the flexural stiffness increases quadratically with the increase of the thin ligament length, whereas the shear stiffness is relatively high and it is less sensitive to the change of the thickness of the thin ligament within the junction region. The expressions for the effective junction conditions agree well with the independent numerical simulations for test configurations. In addition to the junction conditions, our model also provides a uniform asymptotic approximation of elastic displacements within a thin solid containing surface breaking cracks separated by a thin bridge.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Publisher: Oxford University Press
ISSN: 0033-5614
Date of Acceptance: 23 June 2009
Last Modified: 04 Jun 2017 08:11
URI: http://orca.cf.ac.uk/id/eprint/74046

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