Lettere al Nuovo Cimento (1971-1985)

, Volume 38, Issue 14, pp 491–495 | Cite as

Evolution law of weak discontinuities and critical distance for a particular magnetoelastic medium subjected to finite deformations

  • A. Teramo
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Summary

This paper deals with a mathematical model describing an isotropic magnetoelastic medium with cylindrical simmetry subjected to finite deformations. The evolution law of weak discontinuities is deduced. Thus the critical distance at which the wave amplitude becomes unbounded is determined. Finally a discussion on the eventual shock wave formation is carried on in, terms of the initial conditions.

PACS. 02.90

Other topics in mathematical methods in physics 
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  1. (1).
    A. Teramo:Atti Accad. Peloritana Pericolanti, Cl. Sci Fis. Mat. Nat.,56, 151 (1978).MathSciNetMATHGoogle Scholar
  2. (2).
    A. Donato:Meccanica,12, No. 3, 127 (1977).CrossRefMATHGoogle Scholar
  3. (3).
    G. Grioli:Mathematical theory of elastic equilibrium (Berlin, 1962).Google Scholar
  4. (4).
    P. D. Lax:Comm. Pure Appl. Math.,1, 537 (1957).MathSciNetCrossRefGoogle Scholar
  5. (5).
    G. Boillat:La propagation des ondes (Paris, 1965).Google Scholar
  6. (6).
    A. Donato:Z. Angew. Math. Phys.,28, 1059 (1977);A. Donato andD. Fusco:Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat.,81, 529 (1977).CrossRefMATHGoogle Scholar
  7. (7).
    A. Jeffrey andT. Taniuti:Nonlinear wave propagation (New York, N. Y., 1964).Google Scholar
  8. (8).
    G. Boillat andT. Ruggeri:Wave Motion, Vol.1, No. 2, (1979), p. 149.MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Società Italiana di Fisica 1983

Authors and Affiliations

  • A. Teramo
    • 1
  1. 1.Dipartimento di Matematica dell’UniversitàMessina

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