
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 PennyShaped 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 KontorovichLebedev Transforms and Some of their Applications  Solutions of Bessel's Modified Equation, The Macdonald Function, Table of KontorovichLebedev Transforms, Parseval Relation for KontorovichLebedev Transforms, Functions which are Harmonic in an Infinite Wedge, in a SemiInfinite 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