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On a new integration rule with the Gegenbauer polynomials for singular integral equations used in the theory of elasticity

โœ Scribed by Ladopoulos, E. G.


Publisher
Springer-Verlag
Year
1988
Weight
612 KB
Volume
58
Category
Article
ISSN
1432-0681

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Integral equations with logarithmic sing
โœ A.A. Gusenkova; N.B. Pleshchinskii ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 434 KB

Complex potentials with logarithmic singularities in their kernels are constructed for elastic bodies with a defect along a smooth arc. Muskhelishvili's conjugation is used to obtain singular integral equations of the principal boundary-value problems of plane elasticity theory. Examples are conside