http://hdl.handle.net/10379/5724 Sun, 29 Oct 2017 23:49:14 GMT 2017-10-29T23:49:14Z http://hdl.handle.net/10379/5725 Incremental equations for soft fibrous materials Destrade, Michel The general theory of nonlinear anisotropic elasticity is extended to describe small-amplitude motions and static deformations that can be superimposed on large pre-strains of fibre-reinforced solids. The linearised governing equations of incremental motion are derived. Then they are solved for some illustrative situations which reveal a wide spectrum of possible behaviours compared to the case of initially isotropic materials. Particular attention is paid to the propagation of homogeneous waves and to the formation of static wrinkles. These objects prove useful in the investigation of the issues of material (in the bulk) and geometrical (at boundaries) stability. Attempts are also made at modelling some experimental observations made on (isotropic) silicone and (anisotropic) biological soft tissues. Thu, 01 Jan 2015 00:00:00 GMT http://hdl.handle.net/10379/5725 2015-01-01T00:00:00Z http://hdl.handle.net/10379/5723 Interface waves in pre-stressed incompressible solids Destrade, Michel We study incremental wave propagation for what is seemingly the simplest boundary value problem, namely that constitued by the plane interface of a semi-infinite solid. With a view to model loaded elastomers and soft tissues, we focus on incompressible solids, subjected to large homogeneous static deformations. The resulting strain-induced anisotropy complicates matters for the incremental boundary value problem, but we transpose and take advantage of powerful techniques and results from the linear anisotropic elastodynamics theory. In particular we cover several situations where fully explicit secular equations can be derived, including Rayleigh and Stoneley waves in principal directions, and Rayleigh waves polarized in a principal plane or propagating in any direction in a principal plane. We also discuss the merits of polynomial secular equations with respect to more robust, but less transparent, exact secular equations. Mon, 01 Jan 2007 00:00:00 GMT http://hdl.handle.net/10379/5723 2007-01-01T00:00:00Z