On nonlinear waves in elastic conductors under a magnetic field

• Autorzy: Chakraborty S.
• Języki publikacji: EN

Abstrakty

EN

A study of the behavior of magneto-elastic waves in a nonlinear isotropic elastic conductor by applying the method of multiple scales and perturbation has been made for a general displacement wave, under the action of an arbitrarily directed, uniform magnetic field. While in the case of transverse magnetic field the shock the waves are formed, it has been shown here that, under an oblique magnetic field, the wave is distorted without the formation of shocks.

Słowa kluczowe

EN

magnetic field; nonlinear waves; elastic conductor; method of multiple scale

PL

pole magnetyczne; nieliniowe fale; przewodnik sprężysty

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2002
• Tom: Vol. 54, nr 1
• Strony: 3--13
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Chakraborty S.

• St. Xavier's College, 30 Park Street, Calcutta 700016, India

Bibliografia

• 1. A.H. NAYFEH, Finite amplitude longitudinal waves in a non-uniform bar, J. Sound and Vibration, 42, 3, 357-361, 1975.
• 2. R.W. LARDNER, Non-linear surface waves in an elastic solid, Int. J. Engng. Sc. 21, 1331-1342, 1983.
• 3. R.W. LARDNER, Non-linear effects on transverse shear waves in an elastic medium, J. Elasticity, 15, 53-57, 1985.
• 4. G.A. MAUGIN, Wave motion in magnetizable deformable solids (Review article), Int. J. Engng. Sc. 19, 321, 1981.
• 5. A.Z. HEFNI, A.F. GALEB, and G.A. MAUGIN, One-dimensional bulk waves in a non-linear magnetoelastic conductor of finite conductivity, Int. J. Engng. Sc. 33, 14, 2067-2084, 1995.
• 6. S. CHAKRABORTY, On distortion of waves in non-linear magnetoelastic conductor, Arch. Mech., 50, 6, 945-951, Warszawa 1998.
• 7. D. R. BLAND, Non-linear dynamic elasticity, Blaisdell, Waltham, Mass, 1969.
• 8. G. B. WHITHAM, Linear and non-hnear waves, John Wiley and Sons, 1974.