Surface stability of nonlinear magnetoelastic solids

Melanie Ottenio; Michel Destrade; Ray W. Ogden

doi:10.13025/15132

Surface stability of nonlinear magnetoelastic solids

Melanie Ottenio
, Michel Destrade
, Ray W. Ogden

Mathematics

Research output: Chapter in Book or Conference Publication/Proceeding › Conference Publication › peer-review

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 language	English (Ireland)
Title of host publication	Sixth International Congress on Industrial Applied Mathematics
Place of Publication	Zurich
Publisher	wiley
DOIs	https://doi.org/10.13025/15132 https://doi.org/10.1002/pamm.200700094
Publication status	Published - 1 Jan 2007

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10.13025/15132Licence: CC BY-NC-ND
10.1002/pamm.200700094

Destrade c8 pre-printAccepted author manuscript, 239 KBLicence: CC BY-NC-ND

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title = "Surface stability of nonlinear magnetoelastic solids",

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.",

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AU - Destrade, Michel

AU - Ogden, Ray W.

PY - 2007/1/1

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N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10379/7170

U2 - 10.13025/15132

DO - 10.13025/15132

M3 - Conference Publication

BT - Sixth International Congress on Industrial Applied Mathematics

PB - wiley

CY - Zurich

ER -

Surface stability of nonlinear magnetoelastic solids

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