THERMO-VISCOELASTIC STRESSES IN A SPHERE WITH AN ABLATING CAVITY

Abstract

Thermo-viscoelastic stresses in a sphere with a concentric spherical cavity are analyzed, for uniform initial temperature, and cavity ablation at an elevated constant surface temperature. The material is considered to be thermo-rheologically simple, with properties prescribed by an isothermal relaxation modulus function and a relaxation time scale factor given as a function of the temperature. The theory is developed in the form of integral equations in time for the radial stress gradient. These lend themselves to numerical solution, and an example is presented of a sphere of polymethyl- methacrylate for which the relaxation modulus function and temperature-log(time) shift function are available. Features of the solution are discussed, and compared with a corresponding elastic case and the previously published solution for an ablating solid sphere. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1962
Accession Number
AD0282741

Entities

People

  • E. H. Lee
  • T. G. Rogers

Organizations

  • Brown University

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Climate Change
  • Convolution Integrals
  • Equations
  • Government Procurement
  • Heat Energy
  • Heat Transfer
  • Integral Equations
  • Integrals
  • Materials
  • Polymethyl Methacrylate
  • Stress Strain Relations
  • Stresses
  • Surface Temperature
  • Temperature Gradients
  • Thermal Expansion
  • Thermal Stresses

Readers

  • Combustion science or combustion engineering.
  • Fluid Mechanics and Fluid Dynamics.
  • Polymer Science and Technology