ON THE EFFECT OF THICKNESS NEAR A SLENDER PERFORATION IN A FLAT PLATE: FORMULATION OF APPROXIMATE PROBLEMS
Abstract
The stresses induced by a perforation in an otherwise uniformly stressed plate of arbitrary finite thickness are analyzed. Two approximate methods for finding the stress field have been specialized to the case in which the perforation is a crack of finite length. The first method employs boundary layer analysis. It is argued that the significant portion of the boundary layer is solely at the crack tip so that, in effect, the interior extends all the way to the flank of the crack. In the remaining tip region, it appears that the stresses may be expanded in a power series of the square root of radial istance from the crack tip. The second method is based upon the complementary energy theorem. Provided that the boundary conditions remain tractable, the problem reduces to solution of a set of integral equations of a standard form. In principle, this method may also be applied to the case of an elliptical perforation, providing thickness corrections to the well-known planar analysis by C. E. Inglis. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1962
- Accession Number
- AD0278645
Entities
People
- Jerold L. Swedlow
Organizations
- California Institute of Technology