Show simple item record

dc.contributor.authorDestrade, Michel
dc.identifier.citationDESTRADE, M., SCOTT, N.H. (2004) 'Surface waves in a deformed isotropic hyperelastic material subject to an isotropic internal constraint'. Wave Motion, Special Issue on Waves in Anisotropic Elastic Solids, 40 :347-357.en_US
dc.description.abstractAn isotropic elastic half-space is prestrained so that two of the principal axes of strain lie in the bounding plane, which itself remains free of traction. The material is subject to an isotropic constraint of arbitrary nature. A surface wave is propagated sinusoidally along the bounding surface in the direction of a principal axis of strain and decays away from the surface. The exact secular equation is derived by a direct method for such a principal surface wave; it is cubic in a quantity whose square is linearly related to the squared wave speed. For the prestrained material, replacing the squared wave speed by zero gives an explicit bifurcation, or stability, criterion. Conditions on the existence and uniqueness of surface waves are given. The bifurcation criterion is derived for specific strain energies in the case of four isotropic constraints: those of incompressibility, Bell, constant area, and Ericksen. In each case investigated, the bifurcation criterion is found to be of a universal nature in that it depends only on the principal stretches, not on the material constants. Some results related to the surface stability of arterial wall mechanics are also presented.en_US
dc.relation.ispartofWave Motion, Special Issue on Waves in Anisotropic Elastic Solidsen
dc.subjectSurface wavesen_US
dc.subjectFinite deformationen_US
dc.subjectInternal constraintsen_US
dc.subjectBifurcation criterionen_US
dc.titleSurface waves in a deformed isotropic hyperelastic material subject to an isotropic internal constrainten_US
dc.local.contactMichel Destrade, Room C202 Áras De Brún, School Of Mathematics, Nui Galway. Email:

Files in this item

Attribution-NonCommercial-NoDerivs 3.0 Ireland
This item is available under the Attribution-NonCommercial-NoDerivs 3.0 Ireland. No item may be reproduced for commercial purposes. Please refer to the publisher's URL where this is made available, or to notes contained in the item itself. Other terms may apply.

The following license files are associated with this item:


This item appears in the following Collection(s)

Show simple item record