eprintid: 25273 rev_number: 13 eprint_status: archive userid: 461 dir: disk0/00/02/52/73 datestamp: 2010-02-10 19:58:59 lastmod: 2018-05-02 10:17:04 status_changed: 2010-02-10 19:58:59 type: article metadata_visibility: show item_issues_count: 0 creators_name: Ottenio, M. creators_name: Destrade, M. creators_name: Ogden, R.W. creators_orcid: 0000-0002-7002-7028 title: Incremental magnetoelastic deformations, with application to surface instability ispublished: pub subjects: QA subjects: QC divisions: 30501000 abstract: In this paper the equations governing the deformations of infinitesimal (incremental) disturbances superimposed on finite static deformation fields involving magnetic and elastic interactions are presented. The coupling between the equations of mechanical equilibrium and Maxwell’s equations complicates the incremental formulation and particular attention is therefore paid to the derivation of the incremental equations, of the tensors of magnetoelastic moduli and of the incremental boundary conditions at a magnetoelastic/vacuum interface. The problem of surface stability for a solid half-space under plane strain with a magnetic field normal to its surface is used to illustrate the general results. The analysis involved leads to the simultaneous resolution of a bicubic and vanishing of a 7×7 determinant. In order to provide specific demonstration of the effect of the magnetic field, the material model is specialized to that of a “magnetoelastic Mooney–Rivlin solid”. Depending on the magnitudes of the magnetic field and the magnetoelastic coupling parameters, this shows that the half-space may become either more stable or less stable than in the absence of a magnetic field. date: 2008-01 date_type: published id_number: 10.1007/s10659-007-9120-6 uniqueid: glaseprints:2008-25273 published_online: 2007-09-13 issn_online: 1573-2681 scopus_impact: 16 scopus_cluster: 2-s2.0-36549080986 scopus_datestamp: 2013-10-25 21:11:08 wos_impact: 14 wos_cluster: WOS:000251172500002 wos_datestamp: 2013-10-24 22:28:04 full_text_status: public publication: Journal of Elasticity volume: 90 number: 1 pagerange: 19-42 refereed: TRUE issn: 0374-3535 hoa_compliant: 304 hoa_date_pub: 2007-09-13 hoa_exclude: FALSE citation: Ottenio, M., Destrade, M. and Ogden, R.W. (2008) Incremental magnetoelastic deformations, with application to surface instability. Journal of Elasticity , 90(1), pp. 19-42. (doi: 10.1007/s10659-007-9120-6 ) document_url: https://eprints.gla.ac.uk/25273/1/arxiv.html