SHRINKAGE STRESSES IN A CASE-BONDED HOLLOW CYLINDER OF NON-HOMOGENEOUS VISCO-ELASTIC PROPERTIES,
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 + M(r/a) 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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1961
- Accession Number
- AD0614977
Entities
People
- M. Shinozuka
Organizations
- Columbia University