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Temperature effects on brain tissue in compression
(2012)
Extensive research has been carried out for at least 50 years to
understand the mechanical properties of brain tissue in order to understand the
mechanisms of traumatic brain injury (TBI). The observed large variability ...
Inhomogeneous deformation of brain tissue during tension tests
(Elsevier, 2012)
Mechanical characterization of brain tissue has been investigated
extensively by various research groups over the past 50 years. These properties
are particularly important for modeling Traumatic Brain Injury (TBI). ...
On the third- and fourth-order constants of incompressible isotropic elasticity.
(Acoustical Society of America, 2010-04-25)
Consider the constitutive law for an isotropic elastic solid with the strain-energy function expanded up to the fourth order in the strain and the stress up to the third order in the strain. The stress-strain relation can ...
Compression instabilities of tissues with localized strain softening.
(World Scientific Publishing Company, 2010-09-27)
The stress-strain relationship of biological soft tissues affected by Marfan's syndrome is believed to be nonconvex. More specifically, Haughton and Merodio recently proposed a strain energy density leading to localized ...
Onset of non-linearity in the elastic bending of blocks
(American Society of Mechanical Engineers, 2013-01-25)
The classical flexure problem of non-linear incompressible elasticity is revisited assuming that the bending angle suffered by the block is specified instead of the usual applied moment. The general moment-bending angle ...
Scalar evolution equations for shear waves in incompressible solids: a simple derivation of the Z, ZK, KZK and KP equations
(The Royal Society, 2011-07-08)
We study the propagation of two-dimensional finite-amplitude shear waves in a nonlinear pre-strained incompressible solid, and derive several asymptotic amplitude equations in a simple, consistent and rigorous manner. The ...
Third- and fourth-order constants of incompressible soft solids and the acousto-elastic effect.
(Acoustical Society of America, 2010-02)
Acousto-elasticity is concerned with the propagation of small-amplitude waves in deformed solids. Results previously established for the incremental elastodynamics of exact non-linear elasticity are useful for the determination ...
Third and fourth-order elasticity of biological soft tissues
(Acoustical Society of America, 2010-01-24)
In the theory of weakly nonlinear elasticity, Hamilton et al. [J. Acoust. Soc. Am. 116, 41-44 (2004)] identified W = -I2+(A/3)I3+DI22 as the fourth-order expansion of the strain-energy density for incompressible isotropic ...
Finite amplitude inhomogeneous waves in Mooney-Rivlin viscoelastic solids
(Elsevier, 2004-09)
New exact solutions are exhibited within the framework of finite viscoelasticity. More precisely, the solutions correspond to finite-amplitude, transverse, linearly polarized, inhomogeneous motions superposed upon a finite ...
Rayleigh waves in anisotropic crystals rotating about the normal to a symmetry plane
(American Society of Mechanical Engineers, 2004)
The propagation of surface acoustic waves in a rotating anisotropic crystal is studied. The crystal is monoclinic and cut along a plane containing the normal to the symmetry plane; this normal is also the axis of rotation. ...