Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

Variational principles in anisotropic and nonhomogeneous elastokinetics


Author: M. Ben-Amoz
Journal: Quart. Appl. Math. 24 (1966), 82-86
MSC: Primary 73.49
DOI: https://doi.org/10.1090/qam/195329
MathSciNet review: 195329
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Abstract: Variational principles are formulated in terms of polarization stresses and strains in anisotropic and nonhomogeneous elastokinetics. The principles correspond to the well-known principles of Reissner and Washizu and are shown to produce, under suitable subsidiary conditions, functional which are a generalization to elastokinetics of the Hashin-Shtrikman functional in elastostatics.


References [Enhancements On Off] (What's this?)

  • [1] Z. Hashin and S. Shtrikman, On some variational principles in anisotropic and nonhomogeneous elasticity, J. Mech. Phys. Solids, 10 (1962), pp. 335-342 MR 0147031
  • [2] R. Hill, New derivations of some elastic extremum principles, Progress in Appl. Mech., The Prager Anniversary Vol., Macmillan Co., 1963, p. 99 MR 0160359
  • [3] E. Reissner, On a variational theorem in elasticity, J. Math. Phys. 29 (1950), pp. 90-95 MR 0037702
  • [4] E. Reissner, On variational principles in elasticity, Proc. Symposia Appl. Math., vol.8, Mc Graw-Hill Book Co., New York, 1958, p. 1 MR 0096419
  • [5] K. Washizu, On the variational principles of elasticity and plasticity, Aeroelastic and Structure Res. Lab., MIT, 1955

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DOI: https://doi.org/10.1090/qam/195329
Article copyright: © Copyright 1966 American Mathematical Society

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