Lectures on Transform Methods

Front Cover
North Carolina State University, Applied Mathematics Research Group, 1967 - Elastic solids - 104 pages
Contents: The Stress Intensity Factor for a Griffith Crack in an Elastic Body in which Body Forces are acting; The Stress Intensity Factor for a Penny-Shaped Crack in an Elastic Body under the Action of Symmetric Body Forces -- The Effect of Two Point Forces Symmetrically Placed; Inversion Formulae for Integral Transform Pairs of General Kinds -- Properties of the Mellin Transform, Y - Transforms, Integral equations of Abel type, Transforms whose kernels are Chebyshev polynomials, Legendre polynomials, Gegenbauer polynomials, Associated Legendre functions, and Hypergeometric functions; The Inversion of Hankel Transforms of Order Zero and Unity; and Lectures on Kontorovich-Lebedev Transforms and Some of their Applications -- Solutions of Bessel's Modified Equation, The Macdonald Function, Table of Kontorovich-Lebedev Transforms, Parseval Relation for Kontorovich-Lebedev Transforms, Functions which are Harmonic in an Infinite Wedge, in a Semi-Infinite Wedge, in a Wedge of Finite Thickness, and Applications in the Theory of Elasticity.

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Contents

References
7
The Stress Intensity Factor for a PennyShaped Crack in an Elastic
14
Inversion Formulae for Integral Transform Pairs of General Kinds
28

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