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Multiples of Pfister forms
(Elsevier, 2016-03-01)
The isotropy of multiples of Pfister forms is studied. Some classical results are recalled and their consequences presented, with certain of these statements being previously known but hitherto unpublished. In particular, ...
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 ...
Phase behaviour of self-assembled monolayers controlled by tuning physisorbed and chemisorbed states: A lattice-model view
(American Institute of Physics, 2016-04-07)
The self-assembly of molecules on surfaces into 2D structures is important for the bottom-up fabrication of functional nanomaterials, and the self-assembledstructure depends on the interplay between molecule-molecule ...
Toward a predictive assessment of stab-penetration forces
(Lippincott, Williams & Wilkins, 2015-09)
Collaborative research between the disciplines of forensic pathology and biomechanics was undertaken to investigate the hyperelastic properties of human skin, to determine the force required for sharp instrument penetration ...
Introduction to the special issue on stability under finite deformation
(Oxford University Press, 2010)
In the botanical gardens of Grenoble, France, there is small bridge, just a few metres long, made of pre-stressed concrete. The bridge dates back to 1855 and is thought to be the oldest manufactured pre-stressed structure ...
Zhu reduction for Jacobi n-point functions and applications
(2017-06-23)
We establish precise Zhu reduction formulas for Jacobi n-point functions which show the absence of any possible poles arising in these formulas. We then exploit this to produce results concerning the structure of strongly ...
Vertex algebras according to Isaac Newton
(IOP Publishing, 2017-09-08)
We give an introduction to vertex algebras using elementary forward difference methods originally due to Isaac Newton.