Accession Number : AD0437920

Title :   NUMERICAL TREATMENT OF AN INTEGRAL EQUATION ARISING IN A MIXED-BOUNDARY ELASTICITY PROBLEM,

Corporate Author : NORTH CAROLINA STATE UNIV RALEIGH SCHOOL OF PHYSICAL SCIENCES AND APPLIED MATHEMATICS

Personal Author(s) : Welch,John T. ,Jr.

Report Date : 28 APR 1964

Pagination or Media Count : 48

Abstract : The non-singular Fredholm integral equation is solved numerically. The equation has been derived by Sneddon and Collins in the analytical treatment of the stress field in a long cylinder containing a penny-shaped crack being opened by an arbitrary axially symmetric pressure. In the discussion of the numerical treatment, emphasis is on techniques which allow the treatment of additional cases, without excessive recomputation. Results are given for constant, parabolic, and step pressures across the crack, with variations in crack width and Poisson's ratio. The shape of the crack is also obtained in many cases. (Author)

Descriptors :   (*BOUNDARY VALUE PROBLEMS, ELASTIC PROPERTIES), (*INTEGRAL EQUATIONS, NUMERICAL ANALYSIS), (*CYLINDRICAL BODIES, STRESSES), TENSILE PROPERTIES, INTEGRAL TRANSFORMS, FOURIER ANALYSIS, TABLES(DATA), FRACTURE (MECHANICS), PRESSURE

Distribution Statement : APPROVED FOR PUBLIC RELEASE