Accession Number : AD0815678

Title :   LECTURES ON TRANSFORM METHODS,

Corporate Author : NORTH CAROLINA STATE UNIV AT RALEIGH APPLIED MATHEMATICS RESEARCH GROUP

Personal Author(s) : Sneddon, Ian N.

Report Date : 12 APR 1967

Pagination or Media Count : 104

Abstract : 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.

Descriptors :   (*INTEGRAL TRANSFORMS, BOUNDARY VALUE PROBLEMS), ELASTIC PROPERTIES, STRESSES, FRACTURE(MECHANICS), SPECIAL FUNCTIONS(MATHEMATICAL), INTEGRAL EQUATIONS, PARTIAL DIFFERENTIAL EQUATIONS, WEDGES, FUNCTIONS(MATHEMATICS), POLYNOMIALS.

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE