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Asymptotic results for bifurcations in pure bending of rubber blocks
(Oxford Journals, 2008-03)
The bifurcation of an incompressible neo-Hookean thick block with a ratio of thickness to length n, subject to pure bending, is considered. The two incremental equilibrium equations corresponding to a nonlinear pre-buckling ...
Nonlinear Euler buckling
(Royal Society Publishing, 2008-11)
The buckling of hyperelastic incompressible cylindrical tubes of arbitrary length and thickness under compressive axial load is considered within the framework of nonlinear elasticity. Analytical and numerical methods for ...
A wave near the edge of a circular disk
(2008)
It is shown that in the Love-Kirchhoff plate theory, an edge wave can travel in a circular thin disk made of an isotropic elastic material. This disk edge wave turns out to be faster than the classic flexural acoustic wave ...
On the Abaqus FEA model of finite viscoelasticity
(American Chemical Society, 2009-05)
Predictions of the QLV (Quasi-Linear Viscoelastic) constitutive law are compared with those of the ABAQUS viscoelastic model for two simple motions in order to highlight, in particular, their very different dissipation ...
Inhomogeneous "longitudinal" circularly-polarized plane waves in anisotropic elastic crystals
(S. Hirzel verlag, Ingenta Connect, 2006)
Conditions on the elastic stiffnesses of anisotropic crystals are derived such that circularly polarized longitudinal inhomogeneous plane waves with an isotropic slowness bivector may propagate for any given direction of ...
Solitary and compact-like shear waves in the bulk of solids
(American Physical Society, 2006-06)
We show that a model proposed by Rubin, Rosenau and Gottlieb J. Appl. Phys. 77 4054 (1995) for dispersion caused by an inherent material characteristic length belongs to the class of simple materials. Therefore, it is ...
Acoustic waves at the interface of a pre-stressed incompressible elastic solid and a viscous fluid
(Elsevier, 2006-11-10)
We analyse the influence of pre-stress on the propagation of interfacial waves along the boundary of an incompressible hyperelastic half-space that is in contact with a viscous fluid extending to infinity in the adjoining ...
Creep, recovery, and waves in a nonlinear fiber-reinforced viscoelastic solid
(Society for Industrial and Applied Mathematics, 2007-10-10)
We present a constitutive model capturing some of the experimentally observed features of soft biological tissues: nonlinear viscoelasticity, nonlinear elastic anisotropy, and nonlinear viscous anisotropy. For this model ...
Piezoelectric Love waves on rotated Y-cut mm2 substrates
(IEEE, 2006-11)
Consider a layer consisting of a m3m dielectric crystal, with faces cut parallel to a symmetry plane. Then bond it onto a semi-infinite mm2 piezoelectric substrate. For an X- or Y-cut of the substrate, a Love wave can ...
Instabilities in elastomers and soft tissues
(Oxford Journals, 2006-09-15)
Biological soft tissues exhibit elastic properties that can be dramatically different from rubber-type materials (elastomers). To gain a better understanding of the role of constitutive relationships in determining material ...