NON-LINEAR EFFECTS OF TEMPERATURE VARIATION IN STRESS ANALYSIS OF ISOTHERMALLY LINEAR VISCOELASTIC MATERIALS
Abstract
Identifi rs: Viscoelastic materials. T HE FORM OF THE EQUATIONS FOR VISCOELASTIC STRESS ANALYSIS INCLUDING THE INFLUENCE OF TEMPERATURE VARIATION IS DISCUSSED. Thermo-rheologically simple material behavior is assumed, for which temperature change produces a non-linear ranslation of visco la tic characteristic functions and spec ra on a log-time or log-frequency plot. The advantages and disadvan ages of utilizing a reduced ime variable in place of real time are assesse . The equations for spherically symmetrical thermal stress fields in a solid sphere or spherical shell are presented, and expressed in t e form of Volterra integral equations for the radial str ss gradient. A method of numerical treatment of these for various boundary value problems with fixed or moving boundaries is presented. As particular examples the thermal stresses in spheres of polymethyl-methacrylate are computed, when ablation of the surface at constant temperature occurs. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1962
- Accession Number
- AD0275643
Entities
People
- E.h. Lee
- T.g. Rogers
Organizations
- Brown University