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Integral equation method for the torsion of a composite cylinder with crack and inclusion

โœ Scribed by Jin-Chad Yue; Ren-Ji Tang

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
589 KB
Volume
55
Category
Article
ISSN
0013-7944

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โœฆ Synopsis

In this paper, the torsion problem of a composite cylinder with cracks and inclusions is investigated. Firstly, a linear inclusion model is proposed and the fundamental solution of this model is obtained. With the help of this solution together with Muskhelishvili's single-layer potential function and the fundamental solution of a single crack, the torsion problem can be reduced to solving a set of mixed-type integral equations, then the numerical method of these equations is proposed. At the end, several numerical examples are calculated and the results are satisfactory.

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We consider the scattering of an electromagnetic time-harmonic plane wave by an infinite cylinder having a mixed open crack (or arc) in R 2 as the cross section. The crack is made up of two parts, and one of the two parts is (possibly) coated by a material with surface impedance . We transform the s