Accession Number : AD0724176

Title :   Fourier Transform Solutions of Quarter-Plane Problems in Elasticity,

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

Personal Author(s) : Sneddon,Ian N.

Report Date : 01 MAY 1971

Pagination or Media Count : 72

Abstract : The object of these notes is to present a systematic account of an integral transform method of solving boundary value problems of classical plane elastostatics for a quarter plane. Of the problems presented here the main emphasis is on mixed boundary value problems. The principal reason for this is not that problems concerning a quarter-plane have any intrinsic interest, but that certain two-dimensional problems involving line cracks can by their symmetry be reduced to mixed boundary value problems for a quarter plane. The methods developed here can be used to derive the solutions of more complicated crack problems and of contact problems involving a quarter-plane or two quarter-planes adhering to each other.

Descriptors :   (*ELASTIC PROPERTIES, BOUNDARY VALUE PROBLEMS), (*CRACK PROPAGATION, INTEGRAL EQUATIONS), LOADS(FORCES), FRACTURE(MECHANICS), STRESSES, INTEGRAL TRANSFORMS, MATHEMATICAL MODELS

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE