Surface stability of nonlinear magnetoelastic solids | Zendy

Ottenio M. | Zendy; Destrade M. | Zendy; Ogden R.W. | Zendy

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Surface stability of nonlinear magnetoelastic solids

Author(s) -

Ottenio M.,

Destrade M.,

Ogden R.W.

Publication year - 2007

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200700094

Subject(s) - bifurcation , nonlinear system , homogeneous , stability (learning theory) , elasticity (physics) , magnetism , bifurcation theory , surface (topology) , boundary value problem , nonlinear elasticity , plane (geometry) , boundary (topology) , materials science , coupling (piping) , parameter space , mathematical analysis , mechanics , mathematics , physics , condensed matter physics , geometry , thermodynamics , computer science , composite material , quantum mechanics , machine learning

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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