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Annali di Matematica Pura ed Applicata

, Volume 108, Issue 1, pp 109–124 | Cite as

Sulla formulazione intrinseca della dinamica dei continui alla Cosserat

  • Giorgio Ferrarese
Article

Summary

In analogy with ordinary continuous Media [6], a intrinsical lagrangean formulation is given for the dynamics of hyperelastic Cosserat's oriented bodies. The 1o order Cauchy Problem, in terms of actuals variables:shifters d r α ,deformation rate kαβ andspin (constrained ωαβ andfree bαβ), insures the geometric-cinematic compatibility conditions for the metric gαβ and directorsdr.

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Bibliografia

  1. [1]
    E. F. Cosserat,Théorie des Corps Déformables, Paris, Herman (1909).Google Scholar
  2. [2]
    G. Ferrarese,Proprietà di secondo ordine di un generico riferimento fisico in Relatività generale, Rend. Matem. Roma,24 (1965), pp. 57–100.MathSciNetGoogle Scholar
  3. [3]
    G. Ferrarese,Sulla dinamica del corpo rigido, Rend. Acc. Lincei,38 (1965), pp. 649–654.zbMATHMathSciNetGoogle Scholar
  4. [4]
    G. Ferrarese,Lezioni di Meccanica superiore, Roma, Veschi (1968).Google Scholar
  5. [5]
    G. Ferrarese,Sulla compatibilità dei continui alla Cosserat, Rend. Matem. Roma,4, no. 1 (1971), pp. 151–174.zbMATHMathSciNetGoogle Scholar
  6. [6]
    G. Ferrarese,Sulla formulazione intrinseca della Meccanica dei continui iperelastici, Rend. Matem. Roma,8, no. 1 (1975).Google Scholar
  7. [7]
    G. Grioli,Elasticità asimmetrica, Ann. Matem. Pura Appl.,50 (1960), pp. 389–417.zbMATHMathSciNetGoogle Scholar
  8. [8]
    J. A. Schouten,Ricci Calculus, 2a ed., Springer-Verlag (1954).Google Scholar
  9. [9]
    L. Stazi,Sulla meccanica intrinseca dei continui iperelastici, in corso di stampa nei Rend. Circ. Matem. Palermo.Google Scholar
  10. [10]
    R. A. Toupin,Elastic materials with couple-stresses, Arch. Rational, Mech. Anal.,11 (1962), pp. 385–414.CrossRefzbMATHMathSciNetGoogle Scholar
  11. [11]
    C. Truesdell - W. Noll,The Non-Linear Field Theories of Mechanics, Handbuch der Physik, vol. III/3, Springer-Verlag (1965).Google Scholar

Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1975

Authors and Affiliations

  • Giorgio Ferrarese
    • 1
  1. 1.Roma

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