Accession Number:

AD0614977

Title:

SHRINKAGE STRESSES IN A CASE-BONDED HOLLOW CYLINDER OF NON-HOMOGENEOUS VISCO-ELASTIC PROPERTIES,

Descriptive Note:

Corporate Author:

COLUMBIA UNIV NEW YORK DEPT OF CIVIL ENGINEERING AND ENGINEERING MECHANICS

Personal Author(s):

Report Date:

1961-09-01

Pagination or Media Count:

22.0

Abstract:

A general discussion of the elastic-viscoelastic analogy for a viscoelastic material exhibiting nonhomogeneity is presented with emphasis on its applicability to a non-homogeneous visco-elastic hollow cylinder of infinite length subject to spontaneous shrinkage of the material. The assumed mechanical response consists of a standard solid for deviatoric and an elastic medium for volumetric deformation. As an example of non-homogeneity, a material is considered for which the visco-elastic operators G and K are such that G L Mra to the qth power r radius while K is constant. The elastic-viscoelastic analogy is applied with the aid of a series solution of the associated elastic problem obtained in the previous report. Numerical results are given for the case q 1, introducing an approximation for the evaluation of the inversion integral of the transformed solution. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE