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Application of Betti's reciprocal work theorem to the construction of the hypersingular integral equation of a plane crack in three-dimensional elasticity

โœ Scribed by N. I. Ioakimidis

Publisher
Springer Netherlands
Year
1987
Tongue
English
Weight
207 KB
Volume
18
Category
Article
ISSN
0374-3535

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โœฆ Synopsis

The two-dimensional hypersingular integral equation of a plane crack under an arbitrary normal pressure distribution inside an infinite, three-dimensional, isotropic elastic medium is rederived here by application of the classical Betti's reciprocal work theorem. This approach is a very simple one and, moreover, it illustrates the usefulness of the aforementioned theorem for the derivation of hypersingular integral equations of elasticity problems.

๐Ÿ“œ SIMILAR VOLUMES

A new version of boundary integral equat
A new version of boundary integral equations and their application to dynamic three-dimensional problems of the theory of elasticity
โœ A.O. Vatul'yan; V.M. Shamshin ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 505 KB

A version of boundary integral equations of the first kind in dynamic problems of the theory of elasticity is proposed, based on an investigation of the analytic properties of the Fourier transformant of the displacement vector, rather than on fundamental solutions. A system of three boundary integr