eprintid: 1987
rev_number: 8
eprint_status: archive
userid: 56
dir: disk0/00/00/19/87
datestamp: 2013-12-02 11:06:15
lastmod: 2014-10-09 09:20:24
status_changed: 2013-12-02 11:06:15
type: article
metadata_visibility: show
creators_name: Paggi, Marco
creators_name: Carpinteri, Alberto
creators_name: Orta, Renato
creators_id: marco.paggi@imtlucca.it
creators_id: 
creators_id: 
title: A mathematical analogy and a unified asymptotic formulation for singular elastic and electromagnetic fields at multimaterial wedges
ispublished: pub
subjects: TJ
divisions: CSA
full_text_status: none
keywords: Singularities; Re-entrant corners; Antiplane loading; Linear Elasticity; Electromagnetic fields; 74B05; 78A25
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 multimaterial wedges. These configurations, where dissimilar sectors converge to the same vertex, are commonly observed in composite materials and may lead to singularities. The proposed analogy permits to extend several elastic solutions for the power of the stress-singularity already available in the elasticity literature to the analogous electromagnetic problems and viceversa. Finally, electromagnetic structures that cannot be treated according to the proposed analogy, such as those related to bi-isotropic multimaterial wedges, are discussed.
date: 2010
date_type: published
publication: Journal of Elasticity
volume: 99
number: 2
publisher: Springer-Verlag
pagerange: 131-146
id_number: 10.1007/s10659-009-9236-y
refereed: TRUE
issn: 0374-3535
official_url: http://dx.doi.org/10.1007/s10659-009-9236-y
citation:   Paggi, Marco and Carpinteri, Alberto and Orta, Renato  A mathematical analogy and a unified asymptotic formulation for singular elastic and electromagnetic fields at multimaterial wedges.  Journal of Elasticity, 99 (2).  pp. 131-146.  ISSN 0374-3535      (2010)