Accession Number:

AD0253054

Title:

EXTENSION OF A THICK INFINITE PLATE WITH A CIRCULAR HOLE

Descriptive Note:

Corporate Author:

NEW YORK UNIV NY COURANT INST OF MATHEMATICAL SCIENCES

Personal Author(s):

Report Date:

1961-02-01

Pagination or Media Count:

1.0

Abstract:

The method of Friedrichs Reissner Anniv. Vol., pp. 197, Edwards, Ann Arbor, Mich, 1949 Proc. Sym. in Appl. Math. 3117, 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 Poissons ratio gamma. For example, with gamma equals 13, 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

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE