Accession Number : AD0702248

Title :   A MODIFIED MAPPING-COLLOCATION TECHNIQUE FOR ACCURATE CALCULATION OF STRESS INTENSITY FACTORS.

Descriptive Note : Technical rept.,

Corporate Author : ARMY MATERIALS AND MECHANICS RESEARCH CENTER WATERTOWN MASS

Personal Author(s) : Bowie,Oscar L. ; Neal,Donald M.

Report Date : NOV 1969

Pagination or Media Count : 16

Abstract : A technique combining the advantages of conformal mapping and boundary collocation arguments for calculating stress intensity factors for cracks in plane problems is described. The difficulty of finding the mapping function on a rigidly prescribed parameter region is avoided at the expense of using boundary collocation methods on part of the boundary. Conventional collocation arguments are modified by prescribing stress, force, and moment conditions in a least-square collocation sense. These pseudo-redundant conditions provide a reasonable basis for estimation of the effects of inaccuracy of the boundary conditions. The technique is applied to the problem of a circular disk with an internal crack under a loading of external hydrostatic tension. (Author)

Descriptors :   (*CRACKS, STRESSES), (*STRESSES, MAPPING), LEAST SQUARES METHOD, LOADS(FORCES), COMPLEX VARIABLES, BOUNDARY VALUE PROBLEMS

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE