Surface stability of nonlinear magnetoelastic solids

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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.
Original languageEnglish (Ireland)
Title of host publicationSixth International Congress on Industrial Applied Mathematics
Place of PublicationZurich
DOIs
Publication statusPublished - 1 Jan 2007

Authors (Note for portal: view the doc link for the full list of authors)

  • Authors
  • M. Ottenio, M. Destrade, R.W. Ogden.

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