Browsing Mathematics by Subject "Deformation"
Now showing items 18 of 8

At least three invariants are necessary to model the mechanical response of incompressible, transversely isotropic materials
(Springer, 20130418)The modelling of offaxis 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 ... 
Extreme softness of brain matter in simple shear
(Elsevier, 20150313)We show that porcine brain matter can be modelled accurately as a very soft rubberlike material using the MooneyRivlin strain energy function, up to strains as high as 60%. This result followed from simple shear experiments ... 
Influence of preservation temperature on the measured mechanical properties of brain tissue
(Elsevier, 20130426)The large variability in experimentally measured mechanical properties of brain tissue is due to many factors including heterogeneity, anisotropy, age dependence and postmortem time. Moreover, differences in test protocols ... 
Initial stress symmetry and its applications in elasticity
(The Royal Society, 20151028)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 ... 
Measuring the linear and nonlinear elastic properties of brain tissue with shear waves and inverse analysis
(Springer, 20150220)We use supersonic shear wave imaging (SSI) technique to measure not only the linear but also the nonlinear elastic properties of brain matter. Here, we tested six porcine brains ex vivo and measured the velocities of the ... 
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 ... 
On anisotropic elasticity and questions concerning its Finite Element implementation
(Springer, 20130521)We give conditions on the strainenergy function of nonlinear anisotropic hyperelastic materials that ensure compatibility with the classical linear theories of anisotropic elasticity. We uncover the limitations associated ... 
Ray W Ogden: An Appreciation
(SAGE Publications, 201507)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 ...