Lectures on Transform MethodsNorth 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. |
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 |
3 other sections not shown
Common terms and phrases
Abel transforms acting apply the operator Applying Bessel function body forces boundary conditions calculate components consider cosh crack defined denotes derived differentiating displacement distribution easily elastic equivalent expression follows formula function function f(x given hand harmonic hence instance integral equation integral transform inversion formula inversion theorem involving kind Kontorovich-Lebedev transform Legendre Math Mathematics Mellin transform method pair point forces polynomial positive problem properties relation replace respectively result satisfies shown sides similar Similarly sinh solution solution of Problem stress intensity factor substitute theory University values variation wedge write written x cosh zero 글이 미를