Accession Number : AD0284899

Title :   STRESSES AND CRITICAL STATES OF ELASTIC-PLASTIC AND NONLINEAR ELASTIC HOLLOW CYLINDER

Descriptive Note : Technical rept.

Corporate Author : COLUMBIA UNIV NEW YORK DEPT OF CIVIL ENGINEERING AND ENGINEERING MECHANICS

Personal Author(s) : FREUDENTHAL,A.W. ; SHINOZUKA,M.

Report Date : JUL 1962

Pagination or Media Count : 33

Abstract : An elastically case-bonded hollow cylinder of infinite length, the mechanical response of which is perfectly elastic-plastic or nonlinearly elastic, is considered. For a perfectly elasticplastic cylinder with the Tresca yield condition and its associated flow rule, W. T. Koiter's solution is extended to the present problem where the cylinder is contained in an elastic shell, and the effect of the shell on the stresses is demonstrated with numerical examples. For a nonlinear elastic cylinder, the second invariants J and I of the stress and strain deviator respectively are assumed to have a relation J = 4I(GgI) to the 2nd power, G and g being material constants; incompressibility is introduced to make the analysis simple. The critical state is defined in such a way that failure occurs at the point where I reaches a critical value, I sub cr. Comparison of the stresses in the elastic-plastic and in the nonlinear elastic cylinder for the inner surface of the cylinder reaching the critical condition shows little difference, at least for the specific values of parameters chosen for computation. (Author)

Descriptors :   *CYLINDRICAL BODIES, *ELASTIC SHELLS, *ELASTIC PROPERTIES, *STRESSES, NONLINEAR SYSTEMS

Distribution Statement : APPROVED FOR PUBLIC RELEASE