Browsing Mathematics (Scholarly Articles) by Subject "Nonlinear elasticity"
Now showing items 112 of 12

Bending instabilities of soft biological tissues
(Elsevier, 20091215)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 ... 
Creep, recovery, and waves in a nonlinear fiberreinforced viscoelastic solid
(Society for Industrial and Applied Mathematics, 20071010)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 ... 
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 ... 
Initial stresses in elastic solids: Constitutive laws and acoustoelasticity
(2011)On the basis of the nonlinear theory of elasticity, the general constitutive equation for an isotropic hyperelastic solid in the presence of initial stress is derived. This derivation involves invariants that couple the ... 
Instabilities in elastomers and soft tissues
(Oxford Journals, 20060915)Biological soft tissues exhibit elastic properties that can be dramatically different from rubbertype materials (elastomers). To gain a better understanding of the role of constitutive relationships in determining material ... 
Methodical fitting for mathematical models of rubberlike materials
(The Royal Society Publishing, 20170208)A great variety of models can describe the nonlinear response of rubber to uniaxial tension. Yet an indepth understanding of the successive stages of large extension is still lacking. We show that the response can be ... 
Nonlinear Euler buckling
(Royal Society Publishing, 200811)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 ... 
On deforming a sector of a circular cylindrical tube into an intact tube: Existence, uniqueness, and stability
(Elsevier, 201011)Within the context of finite deformation elasticity theory the problem of deforming an open sector of a thickwalled circular cylindrical tube into a complete circular cylindrical tube is analyzed. The analysis provides a ... 
Solitary and compactlike shear waves in the bulk of solids
(American Physical Society, 200606)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 ... 
The stress field in a pulled cork and some subtle points in the semiinverse method of nonlinear elasticity
(The Royal Society, 20071108)In an attempt to describe corkpulling, we model a cork as an incompressible rubberlike material and consider that it is subject to a helical shear deformation superimposed onto a shrink fit and a simple torsion. It turns ... 
Wrinkles and creases in the bending, unbending and eversion of soft sectors
(The Royal Society, 20180323)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, 20170610)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 ...