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Finite amplitude elastic waves propagating in compressible solids
(2005)
The paper studies the interaction of a longitudinal wave with transverse waves in general isotropic and unconstrained hyperelastic materials, including the possibility of dissipation. The dissipative term chosen is similar ...
The stress field in a pulled cork and some subtle points in the semi-inverse method of nonlinear elasticity
(The Royal Society, 2007-11-08)
In an attempt to describe cork-pulling, we model a cork as an incompressible rubber-like material and consider that it is subject to a helical shear deformation superimposed onto a shrink fit and a simple torsion. It turns ...
Bending instabilities of soft biological tissues
(Elsevier, 2009-12-15)
Rubber components and soft biological tissues are often subjected to large bending deformations while 'in service'. The circumferential line elements on the inner face of a bent block can contract up to a certain critical ...
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 ...
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 ...
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 ...
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 ...