Accession Number:

ADA114657

Title:

End Stress Calculations on Elastic Cylinders.

Descriptive Note:

Final rept. Jun 80-Feb 82,

Corporate Author:

OXFORD UNIV (ENGLAND) ENGINEERING LAB

Personal Author(s):

Report Date:

1982-02-01

Pagination or Media Count:

60.0

Abstract:

For a semi-infinite circular elastic cylinder z greater than or equal, r less than or equal 1 deformed solely by a distribution of stress and displacements on its flat end z equal 0, the Love stress function can be expanded in a series of eigenfunctions of known form. For problems in which mixed stress and displacements boundary conditions are prescribed on z equal 0 the coefficients appearing in the expansion can be determined in an explicit form via sets of biorthogonal functions. When normal and shear stresses are prescribed on z equal 0 no such closed expressions for the coefficients exist and approximate methods usually lead to infinite systems of linear equations which are solved by truncation. Stability of solution as the order of truncation is increased can only be guaranteed theoretically when the infinite matrix is diagonally dominated, and this is not the case for existing methods.

Subject Categories:

  • Theoretical Mathematics
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE