EXTENSION OF A THICK INFINITE PLATE WITH A CIRCULAR HOLE
Abstract
The method of Friedrichs (Reissner Anniv. Vol., pp. 197, Edwards, Ann Arbor, Mich, 1949; Proc. Sym. in Appl. Math. 3:117, McGraw Hill, New York, 1950) is extended to the stress concentration probelm. Results are obtained in the form of a power series in epsilon. Only terms up to and including second order are given. Within this approximation it is shown that the plane stress theory yields extremely accurate, although non-conservative predictions of the maximum stress concentration for small but finite values of epsilon. This accuracy depends upon Poisson's ratio gamma. For example, with gamma equals 1/3, the error in the plane stress solution is less than 5% if epsilon is equal to or less than 3. For larger values of gamma and epsilon the error increases. More accurate approximations to the solution of the exact theory, which may be necessary for these values of epsilon, can be obtained by determining third and higher terms in the expansion. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1961
- Accession Number
- AD0253054
Entities
People
- Edward L. Reiss
Organizations
- New York University