Search
Now showing items 1-10 of 12
Methodical fitting for mathematical models of rubber-like materials
(The Royal Society Publishing, 2017-02-08)
A great variety of models can describe the nonlinear response of rubber to uniaxial tension. Yet an in-depth understanding of the successive stages of large extension is still lacking. We show that the response can be ...
Wrinkles and creases in the bending, unbending and eversion of soft sectors
(The Royal Society, 2018-03-23)
We study what is clearly one of the most common modes of deformation found in nature, science and engineering, namely the large elastic bending of curved structures, as well as its inverse, unbending, which can be brought ...
Wrinkles in the opening angle method
(Elsevier, 2017-06-10)
We investigate the stability of the deformation modeled by the opening angle method, often used to give a measure of residual stresses in arteries and other biological soft tubular structures. Specifically, we study the ...
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 ...
On deforming a sector of a circular cylindrical tube into an intact tube: Existence, uniqueness, and stability
(Elsevier, 2010-11)
Within the context of finite deformation elasticity theory the problem of deforming an open sector of a thick-walled circular cylindrical tube into a complete circular cylindrical tube is analyzed. The analysis provides a ...
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 ...