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dc.contributor.authorDestrade, Michel
dc.identifier.citationDESTRADE, M. (2003) 'Rayleigh waves and surface stability for Bell materials in compression; comparison with rubber'. Quarterly Journal of Mechanics and Applied Mathematics, 56 :593-604.en_US
dc.description.abstractThe stability of a Bell-constrained half-space in compression is studied. To this end, the propagation of Rayleigh waves on the surface of the material when it is maintained in a static state of triaxial prestrain is considered. The prestrain is such that the free surface of the half-space is a principal plane of deformation. The exact secular equation is established for surface waves travelling in a principal direction of strain with attenuation along the principal direction normal to the free plane. As the half-space is put under increasing compressive loads, the speed of the wave eventually tends to zero and the bifurcation criterion, or stability equation, is reached. Then the analysis is specialized to specific forms of strain-energy functions and prestrain, and comparisons are made with results previously obtained in the case of incompressible neo-Hookean or Mooney-Rivlin materials. It is found that these rubber-like incompressible materials may be compressed more than "Bell empirical model" materials, but not as much as "Bell simple hyperelastic" materials, before the critical stretches, solutions to the bifurcation criterion, are reached. In passing, some classes of incompressible materials which possess a relative universal bifurcation criterion are presented.en_US
dc.publisherOxford University Pressen_US
dc.relation.ispartofQuarterly Journal of Mechanics and Applied Mathematicsen
dc.subjectBell constrained materialen_US
dc.subjectRayleigh wavesen_US
dc.titleRayleigh waves and surface stability for Bell materials in compression; comparison with rubberen_US
dc.local.contactMichel Destrade, Room C202 Áras De Brún, School Of Mathematics, Nui Galway. Email:

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