Abstract
Propagation of longitudinal magneto-elastic waves in a conducting medium is considered. Dispersion characteristics for the medium without microstructure and Le Roux continuum are discussed. It is shown that wave propagation depends on the intensity of a magnetic field.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Chadwick P. (1957) Elastic Wave Propagation in a Magnetic Field // Proc. 9 Intern Congress Appl. Mech.
Beliy I.V., Fertik S.M. and Klimenko L.T. (1997) Reference book on magneto-pulse treatment of metals. Kharkov: Vitcha shkola. (in Russian).
Pospelov L.A. (1963) Nonlinear magneto-elastic waves. PMM. No 5. p. 939–941.(in Russian)
Baser J. and Ericson W.B. (1974) Nonlinear Motion in Magnetoelasticity // Arch. Rat. Mech. Anal. V. 55. P. 124–192.
Selezov I.T. (1978) Propagation of nonlinear magneto-elastic and magneto-acoustic waves. Nonlinear strain waves. Tallin: Inst.of cybernetics of AN ESSR. V.2, pp. 153–156. (in Russian)
Donato A. and Fusco D. (1980) Some applications of the Riemann method to electromagnetic wave propagation in non-linear media // ZAMM. V. 60. P. 539–542.
Donato A. (1987) Similarity analysis and non-linear wave propagation // Int. J. Non Linear Mechanics. V. 22, □4. P. 307–314.
Domanski W. (1993) Weakly Nonlinear Magnetoelastic Waves // Proc. IUTAM Symp. Nonlinear Waves in Solids. Univ. of Victoria, Victoria British Colambia, Canada. P. 32.
Erofeyev V. and Kovalev S. (1998) Microstructured Solids: Non-linear Models and Analysis of Magneto-Elastic Wave Processes // Material Instabilities in Solids Edited by R. De Borst and E. van der Giessen. John Wiley & Sons Ltd., P.54.
Erofeyev V.I. (1993) Magnetoelastic Nonlinear Waves in Solids with Microstructure // Appl. Mech. Rev. V. 46, â–¡12. Part 1. P. 557.
Erofeyev V.I. (1996) Microstructured Solids. Intelservice Pabl. Comp.
Le Roux (1911) Etude geometrique de la torsion et de la flexion, Ann. Ec. Norm. Super. Paris, Vol.28.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2001 Kluwer Academic Publishers
About this paper
Cite this paper
Erofeyev, V., Kazhaev, V., Kovalev, S. (2001). Longitudinal Magneto-elastic Waves in Solids with Microstructure. In: IUTAM Symposium on Mechanical and Electromagnetic Waves in Structured Media. Solid Mechanics and Its Applications, vol 91. Springer, Dordrecht. https://doi.org/10.1007/0-306-46955-3_12
Download citation
DOI: https://doi.org/10.1007/0-306-46955-3_12
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-7038-3
Online ISBN: 978-0-306-46955-8
eBook Packages: Springer Book Archive