Buckling and postbuckling of magnetoelastic flat plates carrying an electric current
Autor: | Liviu Librescu, Damodar R. Ambur, Davresh Hasanyan |
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Rok vydání: | 2006 |
Předmět: |
Materials science
Context (language use) Electrical current Materials Science(all) Modelling and Simulation Orientation (geometry) General Materials Science business.industry Snap-through Applied Mathematics Mechanical Engineering Isotropy Structural engineering Mechanics Condensed Matter Physics Magnetic field Buckling and postbuckling Ferromagnetism Buckling Mechanics of Materials Frequency–electrical current interaction Modeling and Simulation Magnetoelastic plates Electric current Current (fluid) business |
Zdroj: | International Journal of Solids and Structures. 43:4971-4996 |
ISSN: | 0020-7683 |
DOI: | 10.1016/j.ijsolstr.2005.04.028 |
Popis: | The basic equations of a fully nonlinear theory of electromagnetically conducting flat plates carrying an electric cur- rent and exposed to a magnetic field of arbitrary orientation are derived. The relevant equations have been obtained by considering that both the elastic and electromagnetic media are homogeneous and isotropic. The geometrical nonlin- earities are considered in the von-Karman sense, and the soft ferromagnetic material of the plate is assumed to feature negligible hysteretic losses. Based on the electromagnetic and elastokinetic field equations, by using the standard aver- aging methods, the 3-D coupled problem is reduced to an equivalent 2-D one, appropriate to the theory of plates. Having in view that the elastic structures carrying an electric current are prone to buckling, by using the presently devel- oped theory, the associated problems of buckling and postbuckling are investigated. In this context, the problem of the electrical current inducing the buckling instability of the plate, and its influence on the postbuckling behavior are analyzed. In the same context, the problem of the natural frequency-electrical current interaction of flat plates, as influ- enced by a magnetic field is also addressed. � 2005 Published by Elsevier Ltd. |
Databáze: | OpenAIRE |
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