Browsing Mathematics by Subject "Solids"
Now showing items 1-7 of 7
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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 ... -
A note about waves in dissipative and dispersive solids
(World Scientific, 2008)We study shear waves propagating in a special viscoelastic model proposed first by Fosdick and Yu in 1996. We deduce an asymptotic approximation which reduces the full balance equations to a system of evolution equations ... -
Oblique wrinkles
(The Royal Society Publishing, 2017-04-03)We prove theoretically that when a soft solid is subjected to an extreme deformation, wrinkles can form on its surface at an angle that is oblique to a principal direction of stretch. These oblique wrinkles occur for a ... -
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 ... -
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 ... -
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 ... -
Shear instability in skin tissue
(Oxford University Press, 2013)We propose two toy-models to describe, predict and interpret the wrinkles appearing on the surface of skin when it is sheared. With the first model, we account for the lines of greatest tension present in human skin by ...