Saint-Venant’s principle in static magnetoelasticity

• Autorzy: Hoffmann T. J. , Chudzicka-Adamczak M.
• Konferencja: Symposium Vibrations In Physical Systems (23 ; 28-31.05.2008 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

Toupin’s version of Saint-Venant’s principle in linear elasticity is generalized to the case of linear magnetoelasticity. That is, it is shown that, for a straight prismatic bar made a linear magnetoelastic material end loaded by a self-equilibrated system at one end only, the internal energy stored in the portion of the bar which is beyond a distance s from the loaded end decreases exponentially with the distance _s.

Słowa kluczowe

EN

magnetoelasticity; Saint-Venant's principle

PL

magnetosprężystość; zasada de Saint-Venanta

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2008
• Tom: Vol. 23
• Strony: 157--164
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Hoffmann T. J.

• Poznan University of Technology, Instytute of Applied Mechanics, ul. Piotrowo 3, 60-965 Poznań, Poland

autor

Chudzicka-Adamczak M.

• Poznan University of Technology, Instytute of Applied Mechanics, ul. Piotrowo 3, 60-965 Poznań, Poland

Bibliografia

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• 3. C. O. Horgan, Recent developments concerning Saint-Venant’s principle: an update, Appl. Mech. Rev. (1989) 295-303.
• 4. R. A. Toupin, Saint-Venant’s principle, Arch. Rat,l Mechanics Anal. 18 (1965) 83-96.
• 5. R. C. Batra, J. S. Yang , Saint-Venat’s Principle in Linear Piezoelectricity, J. of Elasticity 38 (1995) 209-218.
• 6. A. Borrelli, M. C. Patria, Decay and other estimates for a semi-infinite magnetoelastic cylinder: Saint-Venant’s Principle, Int. J. Non-Linear Mech. 32 (1997) 1087-1099.
• 7. W. Nowacki, Dynamic Problems of Thermoelasticity (in Polish), PWN Warszawa 1966.
• 8. G. A. Maugin, Continuum Mechanics of Electromagnetic Solids, North Holland, 1988.
• 9. A. C. Eringen, G. A. Maugin, Electrodynamics of Continua, Vol. 1. Springer- Verlag, 1990.
• 10. T. J. Hoffmann, Mechanical Aspects of Magnetoelasticity (In Polish), Wydawnictwo Politechniki Poznańskiej, Poznań, 2002.