
Accession Number : AD0667815
Title : STRESS BOUNDARY VALUE PROBLEMS FOR INFINITE WEDGES,
Corporate Author : NORTH CAROLINA STATE UNIV RALEIGH DEPT OF MATHEMATICS
Personal Author(s) : Harrington,W. J. ; Ting,Tsuan Wu
Report Date : 12 FEB 1965
Pagination or Media Count : 62
Abstract : Several aspects of the problem of the stress distribution in an infinite elastic wedge are considered. First, the Mellin transform formulation of the problem, where there is a prescribed symmetrical loading on the two faces, is carefully analyzed in terms of regularity conditions as r approaches infinity and as r approaches 0+ to determine whether the boundaryvalue problem is wellposed and whether the formal Mellin transform solution satisfies the desired conditions. A power series formulation of the Airy stress function in terms of residues is obtained from the inversion integral. Closed form solutions are given for the special cases of halfwedge angles of pi/2 and pi with the prescribed loading function, f(r) = e to the rth power. (Author)
Descriptors : (*WEDGES, STRESSES), (*STRESSES, BOUNDARY VALUE PROBLEMS), INTEGRAL TRANSFORMS, TRANSCENDENTAL FUNCTIONS, POWER SERIES, LOADS(FORCES), PROBLEM SOLVING
Subject Categories : Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE