Surface stability of nonlinear magnetoelastic solids |
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| Authors: | M Ottenio M Destrade RW Ogden |
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| Institution: | 1. Université Lyon 1, Lyon, 69000;2. IUTB Bâtiment Central;3. 17, rue de France;4. 69627 Villeurbanne Cedex;5. France;6. Institut Jean le Rond d'Alembert;7. CNRS (UMR7190);8. Université Pierre et Marie Curie;9. Case 162, 4 Place Jussieu;10. 75282 Paris Cedex 05;11. Department of Mathematics;12. University of Glasgow;13. University Gardens;14. Glasgow, G12 8QW;15. Scotland, UK |
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| Abstract: | The present paper proposes to identify surface stability when a magnetoelastic half-space is subjected to a pure homogeneous pre-deformation and to a magnetic field normal to its (plane) boundary. Clearly, the aim is to find the critical stretch ratio beyond which surface instabilities may develop, or in other words, to establish a bifurcation criterion based on the incremental static solution of the boundary value problem. We want to analyse how the presence of a coupling between magnetism and nonlinear elasticity modify the conditions of stability. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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