STEADY STATE THERMAL STRESSES IN AN ELASTIC SOLID BOUNDED BY TWO CONES,

Abstract

A similarity transformation was developed to study the problem of thermal stress in a solid body bounded by one or two cones. It was found that if the temperature on the free surfaces be prescribed as powers of distance from the vertex, a set of similarity variables can be found which reduce the thermoelastic equations into Legendre equations; consequently, the problem can be solved easily. The solution is given in detail for the particular case when the bounding free surfaces are maintained at constant temperature. The variations, in a figure, are shown of normal and shear stresses along different radial lines inside the body. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1963
Accession Number
AD0426496

Entities

People

  • Subhendu K. Datta

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Bodies
  • Equations
  • Shear Stresses
  • Solid Bodies
  • Steady State
  • Stresses
  • Thermal Stresses

Fields of Study

  • Mathematics

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Graph Algorithms and Convex Optimization.
  • Thermal Physics or Thermal Science.