THERMAL STRESS INVESTIGATION OF SOLID PROPELLANT GRAINS. VOLUME 2 - MATHEMATICAL ANALYSIS

Abstract

The object of the present work is the investi gation into the problems of stress and deforma tion of linear viscoelastic solids under various environmental conditions, such as gravity, temperature and inertia forces. In the first chapter, the thermal stresses in viscoelastic solids with temperature dependent propertiesnvestigated, temperature dependence being limited to the thermorheologically simple type. The second chapter is occupied with the evalu ation of the effects of the acceleration terms on the stress distribution in incompressible viscoelastic solids, again under conditions of non-uniform transient temperature. The third chapter is devoted to gravitational effects. In appendix I the problem of an infinite slab and a solid sphere are solved numerically for the purpose of illustration and compared with exact solutions. In Appendix II error estimates con nected with one of the analytic methods are derived. In Appendix 2 the convergence of the first analytic method is established.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1962
Accession Number
AD0406339

Entities

People

  • George Lianis
  • K. C. Valanis

Organizations

  • Lockheed Propulsion Company

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Elastic Shells
  • Equations
  • Error Analysis
  • Errors
  • Integral Equations
  • Integrals
  • Iterations
  • Materials
  • Mathematical Analysis
  • Mechanical Properties
  • Mechanics
  • Propellants
  • Solid Propellants
  • Stress Analysis
  • Stress Strain Relations
  • Stresses

Fields of Study

  • Mathematics

Readers

  • Mechanical Engineering/Mechanics of Materials.
  • Plasma Physics / Magnetohydrodynamics
  • Snow Cover Descriptors for Reptiles and Their Illustrations.