ON THE CLAUSIUS-DUHEM INEQUALITY.

Abstract

A method of axiomatically deriving a form of the second law of thermodynamics appropriate to continuum mechanics from a general statement of the law is discussed; such a proceedure logically leads to the existence of two temperatures and a modified form of the Clausius-Duhem inequality. It is then shown that for a certain class of materials the inequality can hold only if the two temperatures are always the same and thus that for such materials the usual form of the Clausius-Duhem inequality is appropriate. Finally it is shown that a simple material with memory falls into this class of materials. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1966
Accession Number
AD0635447

Entities

People

  • Morton E. Gurtin
  • William O. Williams

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Continuum Mechanics
  • Inequalities
  • Materials
  • Mechanics
  • Physics

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Theoretical Analysis.