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A new boundary element approach of modeling singular stress fields of plane V-notch problems

Niu, Z., Cheng, C., Ye, J. and Recho, N. (2009) A new boundary element approach of modeling singular stress fields of plane V-notch problems. International Journal of Solids and Structures, 46 (16). pp. 2999-3008. ISSN 0020-7683


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In this paper, a new boundary element (BE) approach is proposed to determine the singular stress field in plane V-notch structures. The method is based on an asymptotic expansion of the stresses in a small region around a notch tip and application of the conventional BE in the remaining region of the structure. The evaluation of stress singularities at a notch tip is transformed into an eigenvalue problem of ordinary differential equations that is solved by the interpolating matrix method in order to obtain singularity orders (degrees) and associated eigen-functions of the V-notch. The combination of the eigen-analysis for the small region and the conventional BE analysis for the remaining part of the structure results in both the singular stress field near the notch tip and the notch stress intensity factors (SIFs). Examples are given for V-notch plates made of isotropic materials. Comparisons and parametric studies on stresses and notch SIFs are carried out for various V-notch plates. The studies show that the new approach is accurate and effective in simulating singular stress fields in V-notch/crack structures.

Item Type: Article
Copyright, Publisher and Additional Information: © 2009 Elsevier. This is an author produced version of a paper published in International journal of Solids and Structures. Uploaded in accordance with the publisher's self archiving policy.
Keywords: linear elasticity, V-notch, stress intensity factor, boundary element method, asymptotic expansion
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Engineering (Leeds) > School of Civil Engineering (Leeds)
Depositing User: Miss Elizabeth Winning
Date Deposited: 12 May 2009 14:24
Last Modified: 15 Sep 2014 01:37
Published Version: http://dx.doi.org/10.1016/j.ijsolstr.2009.03.028
Status: Published
Publisher: Elsevier
Refereed: Yes
Identification Number: 10.1016/j.ijsolstr.2009.03.028
URI: http://eprints.whiterose.ac.uk/id/eprint/8569

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