ANALYTICAL SOLUTION OF THERMAL STRESSES FOR A VISCOELASTIC HOLLOW CYLINDER.

Abstract

A solution is presented for the thermal stresses in an isotropic, homogeneous, viscoelastic, hollow cylinder enclosed by a rigid casing. The governing equation, which is of the integral-differential form, is integrated numerically. The resulting partial differential equation is solved exactly subjected to the imposed boundary conditions. For comparison, a simple four-parameter viscoelastic material is chosen since an independent analytical solution is available. A second example is presented in order to demonstrate the capability of this solution in handling large numbers of viscoelastic parameters which are usually required to characterize real solid propellant and other polymeric structural materials. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1968
Accession Number
AD0664767

Entities

People

  • John Hsu

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Differential Equations
  • Energetic Materials
  • Equations
  • Integrals
  • Materials
  • Partial Differential Equations
  • Propellants
  • Solid Propellants
  • Stresses
  • Thermal Stresses

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mechanical Engineering/Mechanics of Materials.