Dynamic anti-plane sliding of dissimilar anisotropic linear elastic solids

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dc.creatorRanjith, K.
dc.date2008-10-11
dc.date.accessioned2026-07-07T12:48:24Z
dc.date.available2026-07-07T12:48:24Z
dc.descriptionThe stability of steady, dynamic, anti-plane slipping at a planar interface between two dissimilar anisotropic linear elastic solids is studied. The solids are assumed to possess a plane of symmetry normal to the slip direction, so that in-plane displacements and normal stress changes on the slip plane do not occur. Friction at the interface is assumed to follow a rate and state dependent law with velocity-weakening behavior in the steady state. The stability to spatial perturbations of the form exp(ikx_1), where k is the wavenumber and x_1 is the coordinate along the interface is studied. The critical wavenumber magnitude, |k|_cr, above which there is stability and the corresponding phase velocity, c, of the neutrally stable mode are obtained from the stability analysis. Numerical plots showing the dependence of |k|_cr and c on the unperturbed sliding velocity, V_o, are provided for various bi-material combinations of practical interest.
dc.identifierhttps://arxiv.org/abs/0810.2003
dc.identifierhttp://arxiv.org/abs/0810.2003
dc.identifierInternational Journal of Solids and Structures, 45, 4211-4221, 2008
dc.identifierdoi:10.1016/j.ijsolstr.2008.03.002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222043
dc.subjectMathematical Physics
dc.subjectMaterials Science
dc.subjectGeophysics
dc.titleDynamic anti-plane sliding of dissimilar anisotropic linear elastic solids
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