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Three-Dimensional Stress Concentration Around a Cylindrical Hole in a Semi-Infinite Elastic Body

Youngdahl, Carl K. and Sternberg, Eli (1965) Three-Dimensional Stress Concentration Around a Cylindrical Hole in a Semi-Infinite Elastic Body. California Institute of Technology , Pasadena, CA. (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20141008-155347500

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Abstract

This paper contains a three-dimensional solution, exact within classical elastostatics, for the stresses and deformations arising in a half space with a semi-infinite transverse cylindrical hole, if the body -- at infinite distances from its cylindrical boundary -- is subjected to an arbitrary uniform plane field of stress that is parallel to the bounding plane. The solution presented is in integral form and is deduced with the aid of the Papkovich stress functions by means of an especially adapted, unconventional, integral-transform technique. Numerical results for the non-vanishing stresses along the boundary of the hole and for the normal displacement at the plane boundary, corresponding to several values of Poisson's ratio, are also included. These results exhibit in detail the three-dimensional stress boundary layer that emerges near the edges of the hole in the analogous problem for a plate of finite thickness, as the ratio of the plate-thickness to the diameter of the hole grows beyond bounds. The results obtained thus illustrate the limitations inherent 1n the two-dimensional plane-strain treatment of the spatial plane problem; in addition, they are relevant to failure considerations and are of interest 1n connection with experimental stress analysis.


Item Type:Report or Paper (Technical Report)
Additional Information:©1965 California Institute of Technology. Office of Naval Research Contract Nonr-220(58) NR-064-431. Technical Report No. 2. This investigation was carried out under the auspices of the United States Atomic Energy Commission and was supported in part by the Office of Naval Research under Contract Nonr-220(58).
Funders:
Funding AgencyGrant Number
Atomic Energy CommissionUNSPECIFIED
Office of Naval Research (ONR)Nonr-220(58)
Record Number:CaltechAUTHORS:20141008-155347500
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20141008-155347500
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:50287
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:09 Oct 2014 20:48
Last Modified:03 Oct 2019 07:22

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