Accession Number : AD0635802
Title : STRESS CONCENTRATION AROUND SPHERICAL CAVITIES IN STRAIN-GRADIENT DEPENDENT ELASTIC BODIES SUBJECTED TO UNIAXIAL TENSION.
Descriptive Note : Technical rept.
Corporate Author : PENNSYLVANIA STATE UNIV UNIVERSITY PARK DEPT OF ENGINEERING MECHANICS
Personal Author(s) : Hazen, Glenn A. ; Weitsman,Yechiel
Report Date : JUL 1966
Pagination or Media Count : 53
Abstract : This paper presents an analytical solution to a boundary-value problem in linear elasticity where potential energy depends on strains and strain gradients. The problem considered is that of an infinite medium, containing a spherical cavity, subjected to uniaxial tension at infinity. Special attention is given to the stress concentration factor at the surface of the cavity and to some higher order stress-terms. Results show that the stress concentration factor, which depends on two characteristic lengths as well as on additional material parameters, can exceed the classical vlue. The hyperstresses are found to represent surface like phenomena; they dimish to zero away from the surface of the cavity. (Author)
Descriptors : (*ELASTIC PROPERTIES, *BOUNDARY VALUE PROBLEMS), STRESSES, STRAIN(MECHANICS), SPHERES, POTENTIAL THEORY
Subject Categories : Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE