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Proper formulation of viscous dissipation for nonlinear waves in solids
(Acoustical Society of America, 2013-03)
To model nonlinear viscous dissipative motions in solids, acoustical physicists usually add terms the material time derivative of the Lagrangian strain tensor E, to the elastic stress tensor; derived from the expansion to ...
The annual GiG: Groups in Galway
(NUI Galway, 2015)
The GiG (Groups in Galway) conference, and related activity, has been
running annually since 1978 and is the longest running annual international
mathematical conference on a special topic. It has its origin from the ...
A refinement of a conjecture of Quillen
(Elsevier ScienceDirect, 2015-09)
We present some new results on the cohomology of a large scope of SL2 groups in degrees above the virtual cohomological dimension, yielding some partial positive results for the Quillen conjecture in rank one. We combine ...
On the Torus degeneration of the genus two partition function
(World Scientific Publishing, 2013-07-16)
We consider the partition function of a general vertex operator algebra V on a genus two Riemann surface formed by sewing together two tori. We consider the non-trivial degeneration limit where one torus is pinched down ...
Uniform transmural strain in pre-stressed arteries occurs at physiological pressure
(Elsevier, 2012-06-21)
Residual deformation (strain) exists in arterial vessels, and has been previously proposed to induce homogeneous transmural strain distribution. In this work, we present analytical formulations that predict the existence ...
Influence of preservation temperature on the measured mechanical properties of brain tissue
(Elsevier, 2013-04-26)
The large variability in experimentally measured mechanical properties of brain tissue is due to many factors including heterogeneity, anisotropy, age dependence and post-mortem time. Moreover, differences in test protocols ...
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 ...
A combined experimental and numerical study of stab-penetration forces
(Elsevier, 2013-12)
The magnitude of force used in a stabbing incident can be difficult to quantify, although the estimate given by forensic pathologists is often seen as 'critical' evidence in medico-legal situations. The main objective of ...
Mechanical characterization of brain tissue in simple shear at dynamic strain rates
(Elsevier, 2013-12)
During severe impact conditions, brain tissue experiences a rapid and complex deformation, which can be seen as a mixture of compression, tension and shear. Diffuse axonal injury (DAI) occurs in animals and humans when ...
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 ...