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A unified mathematical formulation for the asymptotic analysis of singular elastic and electromagnetic fields

Paggi, Marco and Carpinteri, Alberto and Orta, Renato A unified mathematical formulation for the asymptotic analysis of singular elastic and electromagnetic fields. In: Proceedings of the 19th AIMETA Congress of Theoretical and Applied Mechanics. Aras Edizioni, pp. 1-10. ISBN 9788896378083 (2009)

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Abstract

In the present contribution, the mathematical analogy existing between the singular stress field in elasticity due to antiplane loading and the singular electromagnetic fields in electromagnetism is derived with reference to the problem of isotropic multi-material wedges. These configurations, where dissimilar sectors converge to the same vertex, are very commonly observed in composite materials and may lead to stress-singularities. The proposed analogy permits to extend several elastic solutions already available in the literature to the analogous electromagnetic problems, without the need of performing new calculations.

Item Type: Book Section
Additional Information: 19th AIMETA Congress of Theoretical and Applied Mechanics, Ancona, Italy, September 14-17, 2009
Uncontrolled Keywords: Singularities, Linear Elasticity, Electromagnetic fields
Subjects: T Technology > TJ Mechanical engineering and machinery
Research Area: Computer Science and Applications
Depositing User: Prof Marco Paggi
Date Deposited: 12 Dec 2013 11:46
Last Modified: 09 Oct 2014 09:20
URI: http://eprints.imtlucca.it/id/eprint/2053

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