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