Accession Number : AD0005640


Title :   STRESS CONCENTRATION DUE TO A HEMISPHERICAL PIT AT A FREE SURFACE


Corporate Author : ILLINOIS INST OF TECH CHICAGO


Personal Author(s) : Eubanks, R A


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/005640.pdf


Report Date : 01 Jan 1953


Pagination or Media Count : 38


Abstract : A solution is presented in series form for the stresses and dis placements around a hemispherical pit at a free surface of an elastic body. The problem is idealized by considering a semi-infinite medium which is otherwise bounded by a plane. At infinity, the body is assumed to be in a state of hydrostatic tension perpendicular to the axis of symmetry of the pit. The method of solution may be generalized to loadings which are not rotationally symmetric. Numerical results are given for the variation along the axis of symmetry of the normal stress which is parallel to the tractions at infinity; these results are compared with the known corresponding numerical values appropriate to the 2- dimensional analog of the problem.


Descriptors :   *TENSION , *STRESS CONCENTRATION , SYMMETRY , HYDROSTATICS , PARALLEL ORIENTATION , ELASTIC PROPERTIES , NUMERICAL ANALYSIS , TRACTION


Subject Categories : Mechanics


Distribution Statement : APPROVED FOR PUBLIC RELEASE