Accession Number : AD0275643

Title :   NON-LINEAR EFFECTS OF TEMPERATURE VARIATION IN STRESS ANALYSIS OF ISOTHERMALLY LINEAR VISCOELASTIC MATERIALS

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : LEE,E.H. ; ROGERS,T.G.

Report Date : MAY 1962

Pagination or Media Count : 1

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)

Descriptors :   *ELASTIC PROPERTIES, *POLYMERS, *STRESSES, *VISCOSITY, DEFORMATION, NONLINEAR SYSTEMS, PLASTICS, TEMPERATURE

Distribution Statement : APPROVED FOR PUBLIC RELEASE