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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)