University of Illinois Urbana-Champaign

Behavior of elastic heat conductors with second order response functions

Martin, Stephen E.; Carlson, Donald E.

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https://hdl.handle.net/2142/112127

Description

Title
Behavior of elastic heat conductors with second order response functions
Author(s)
  • Martin, Stephen E.
  • Carlson, Donald E.
Issue Date
1974-12
Keyword(s)
  • Elastic Heat
  • Conductor
  • Second-order Response Functions
Abstract
Second-order forms for the material response functions of an elastic heat conductor are derived by approximating the response functions by polynomials in the appropriate invariants. Solutions based upon these forms of the response functions are exact for special materials and approximate for general materials. Several aspects of the behavior of incompressible elastic heat conductors are investigated. The second-order dependence on temperature of isothermal elasticity solutions is found and the results are shown to agree quite well with experimental data taken on rubber. The second-order solutions to the problems of biaxial stretching with transverse heat flow, and simultaneous extension and shear of a cylindrical annulus with radial heat flow are obtained. If a material which is thermally insulated is deformed, in general, its temperature will change. This phenomenon, known as Gough-Joule heating, is investigated for materials subjected to strain impulses.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 396
  • 1974-6018
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112127
Sponsor(s)/Grant Number(s)
National Science Foundation, Grant GK 37539, 74/12
Copyright and License Information
Copyright 1974 Board of Trustees of the University of Illinois

Owning Collections

Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.