✦ LIBER ✦

Singular behaviour at fixed rigid line tip in plane elasticity

✍ Scribed by Y.Z. Chen

Publisher: Elsevier Science
Year: 1986
Tongue: English
Weight: 349 KB
Volume: 25
Category: Article
ISSN: 0013-7944
DOI: 10.1016/0013-7944(86)90198-0

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✦ Synopsis

In this paper the properties of eigenfunction expansion form (EEF) in the fixed rigid line tip (FRLT) problem in plane elasticity are discussed in detail. After using the Betti's reciprocal theorem to the plane body containing the FRLT, several new path-independent integrals are obtained.

All the coefficients in the EEF at the FRLT can be related to corresponding pathindependent integrals. It is proved that, though the J integral in the crack problem and Jr integral in the FRLT problem have the same form, the former (J) is definitely positive and the latter (J,) is definitely negative.

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The analysis of a finite flat inclusion in an orthotropic plane elastic body with purely imaginary characteristic roots under inclined uniform loading at infinity is performed using Lekhnitskii's theory. The major features of the problem are exhibited and discussed.