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Now showing items 11-20 of 66
On anisotropic elasticity and questions concerning its Finite Element implementation
(Springer, 2013-05-21)
We give conditions on the strain-energy function of nonlinear anisotropic hyperelastic materials that ensure compatibility with the classical linear theories of anisotropic elasticity. We uncover the limitations associated ...
Deficiencies in numerical models of anisotropic nonlinearly elastic materials
(Springer, 2013-08)
Incompressible nonlinearly hyperelastic materials are rarely simulated in finite element numerical experiments as being perfectly incompressible because of the numerical difficulties associated with globally satisfying ...
On stress-dependent elastic moduli and wave speeds
(Oxford University Press, 2013)
On the basis of the general non-linear theory of a hyperelastic material with initial stress, initially without consideration of the origin of the initial stress, we determine explicit expressions for the stress-dependent ...
Catastrophic thinning of dielectric elastomers
(American Physical Society, 2017-02-15)
We provide an energetic insight into the catastrophic nature of thinning instability in soft electroactive elastomers. This phenomenon is a major obstacle to the development of giant actuators, yet it is neither completely ...
Ray W Ogden: An Appreciation
(SAGE Publications, 2015-07)
This special issue of Mathematics and Mechanics of Solids is dedicated to Professor Ray Ogden FRS on the occasion
of his 70th birthday. It is a companion volume to another special issue edited by our colleagues ...
On residual stresses and homeostasis: an elastic theory of functional adaptation in living matter
(Nature Publishing Group, 2016-04-26)
Living matter can functionally adapt to external physical factors by developing internal tensions, easily revealed by cutting experiments. Nonetheless, residual stresses intrinsically have a complex spatial distribution, ...
Strain energy function for isotropic non-linear elastic incompressible solids with linear finite strain response in shear and torsion
(Elsevier, 2016-07-18)
We find the strain energy function for isotropic incompressible solids exhibiting a linear relationship between shear stress and amount of shear, and between torque and amount of twist, when subject to large simple shear ...
Initial stress symmetry and its applications in elasticity
(The Royal Society, 2015-10-28)
An initial stress within a solid can arise to support external loads or from processes such as thermal expansion in inert matter or growth and remodelling in living materials. For this reason, it is useful to develop a ...
At least three invariants are necessary to model the mechanical response of incompressible, transversely isotropic materials
(Springer, 2013-04-18)
The modelling of off-axis simple tension experiments on transversely isotropic nonlinearly elastic materials is considered. A testing protocol is proposed where normal force is applied to one edge of a rectangular specimen ...
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 ...