Surface stability of nonlinear magnetoelastic solids
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Ottenio, M., Destrade, M. and Ogden, R.W. (2007), Surface stability of nonlinear magnetoelastic solids. Proc. Appl. Math. Mech., 7: 1090701–1090702. doi:10.1002/pamm.200700094
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.