Accession Number:

AD0667815

Title:

STRESS BOUNDARY VALUE PROBLEMS FOR INFINITE WEDGES,

Descriptive Note:

Corporate Author:

NORTH CAROLINA STATE UNIV RALEIGH DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1965-02-12

Pagination or Media Count:

62.0

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 boundary-value problem is well-posed 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 half-wedge angles of pi2 and pi with the prescribed loading function, fr e to the -rth power. Author

Subject Categories:

  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE