Archive for Rational Mechanics and Analysis

, Volume 60, Issue 4, pp 305–324

Cauchy's theorem in classical physics

  • Morton E. Gurtin
  • Luiz C. Martins
Article

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References

  1. 1823 Cauchy, A.-L., Recherches sur l'équilibre et le mouvement intérieur des corps solides ou fluides, élastiques ou non élastiques. Bull. Soc. Philomath. 9–13 = Oeuvres (2) 2, 300–304.Google Scholar
  2. 1827 Cauchy, A.-L., De la pression ou tension dans un corps solide (1822). Ex. de Math. 2, 42–56 = Oeuvres (2) 7, 60–78.Google Scholar
  3. 1957 Noll, W., The foundations of classical mechanics in the light of recent advances in continuum mechanics, pp. 266–281 of the Axiomatic Method, with Special Reference to Geometry and Physics (Symposium at Berkeley, 1957). Amsterdam: North-Holland Publishing Co. 1959.Google Scholar
  4. 1967 Gurtin, M.E. & W.O. Williams, An axiomatic foundation of continuum thermodynamics. Arch. Rational Mech. Anal. 26, 83–117.Google Scholar
  5. 1968 Gurtin, M.E., V.J. Mizel & W.O. Williams, A note on Cauchy's stress theorem. J. Math. Anal. Appl. 22, 398–401.Google Scholar
  6. 1973 Noll, W., Lectures on the foundations of continuum mechanics and thermodynamics. Arch. Rational Mech. Anal. 52, 62–92.Google Scholar
  7. 1974 Rudin, W., Real and Complex Analysis, 2nd Edition. New York: McGraw-Hill.Google Scholar

Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • Morton E. Gurtin
    • 1
    • 2
  • Luiz C. Martins
    • 1
    • 2
  1. 1.Department of MathematicsCarnegie-Mellon UniversityPittsburgh
  2. 2.Instituto de MatemáticaUniversidade do Rio de JaneiroBrazil

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