Applied Mathematics and Mechanics

, Volume 12, Issue 6, pp 565–575 | Cite as

Structural function theory of generalized variational principles for linear elastic materials with voids

  • Pi Dao-hua
  • Jin Li-hua
Article

Abstract

In this paper, we have obtained generalized variational principles for linear elastic materials with voids from structural function theory. Correspondent relations between structural functions and generalized variational principles are given.

Key words

structural function void variational principles 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Nunziato, J. W. and S. C. Cowin, A nonlinear of elastic materials with voids,A.R.M.A.,72 (1979), 175.MATHMathSciNetGoogle Scholar
  2. [2]
    Cowin, S.C. and J. W. Nunziato, Linear elastic materials with voids,J. Elasticity,13 (1983), 125.CrossRefMATHGoogle Scholar
  3. [3]
    Oden, J. T. and J. N. Reddy,Variational Methods in Theoretical Mechanics, Springer-Verlag, Berlin, Heidelberg, New York (1983).MATHGoogle Scholar
  4. [4]
    Hu Hai-chang,Variational Principles of Elasticity and Applications, Science Press, Beijing (1981). (in Chinese)Google Scholar
  5. [5]
    Chien Wei-zhang,Generalized variational Principles, Knowledge Press, Shanghai (1985). (in Chinese)Google Scholar
  6. [6]
    Jin Li-hua, Generalized variational principles for linear elastic materials with voids,Acta Mechanica Solida Sinica,1, 3 (1988).Google Scholar
  7. [7]
    Pi Dao-hua, Structural function theory of generalized variational principles in linear elasticity,Acta Mechanica Solida Sinica,10, 1 (1989). (in Chinese)Google Scholar

Copyright information

© Shanghai University of Technology 1991

Authors and Affiliations

  • Pi Dao-hua
    • 1
  • Jin Li-hua
    • 1
  1. 1.Huazhong University of Science and TechnologyWuhan

Personalised recommendations