
Accession Number : AD0617570
Title : THREEDIMENSIONAL STRESS CONCENTRATION AROUND A CYLINDRICAL HOLE IN A SEMIINFINITE ELASTIC BODY.
Descriptive Note : Technical rept.,
Corporate Author : CALIFORNIA INST OF TECH PASADENA DIV OF ENGINEERING AND APPLIED SCIENCE
Personal Author(s) : Youngdahl,Carl K. ; Sternberg,Eli
Report Date : MAY 1965
Pagination or Media Count : 54
Abstract : This paper contains a threedimensional solution, exact within classical elastostatics, for the stresses and deformations arising in a halfspace with a semiinfinite transverse cylindrical hole, if the bodyat 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, integraltransform technique. Numerical results for the nonvanishing 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 threedimensional 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 platethickness to the diameter of the hole grows beyond bounds. The results obtained thus illustrate the limitations inherent in the twodimensional planestrain treatment of the spatial plane problem; in addition, they are relevant to failure considerations and are of interest in connection with experimental stress analysis. (Author)
Descriptors : (*STRESSES, BOUNDARY VALUE PROBLEMS), (*BOUNDARY VALUE PROBLEMS, STRESSES), (*ELASTIC PROPERTIES, CYLINDRICAL BODIES), NUMERICAL ANALYSIS, INTEGRAL TRANSFORMS
Distribution Statement : APPROVED FOR PUBLIC RELEASE