this paper is concerned with investigation of vertical impedance function of a surface rigid circular foundation resting on a semi-infinite transversely isotropic alluvium. to this end, the equations of motion in cylindrical coordinate system, which because of axissymmetry are two coupled equations, are converted into one partial differential equation using a method of potential function. the g...

For the case of distinct eigenvalues of the left Cauchy-Green tensor universal relations for a transversely isotropic elastic material are expressed in a compact form. Also, two new universal relations are derived for an incompressible transversely isotropic elastic material. Key Wolds: universal manifold, incompressible materials, simple shear, annular wedge 1. INTRODUcnON A universal relation...

Thermal fluctuations of microtubules (MTs) and other cytoskeletal filaments govern to a great extent the complex rheological properties of the cytoskeleton in eukaryotic cells. In recent years, much effort has been put into capturing the dynamics of these fluctuations by means of analytical and numerical models. These attempts have been very successful for, but also remain limited to, isotropic...

The dispersion analysis in a fluid filled and immersed thermo–electro elastic hollow cylinder composed of homogeneous, transversely isotropic material is studied within the frame work of linear theory of elasticity. The motions of the cylinder are formulated using the constitutive equations of a transversely isotropic piezo–thermo elastic material with a preferred material direction collinear w...

Accurate modeling of the high strain-rate response of healthy human knee cartilage is critical to investigating the mechanism(s) of knee osteoarthritis and other cartilage disorders. Osteoarthritis has been suggested to originate from regional shifts in joint loading during walking and other high strain-rate physical activities. Tibial plateau cartilage under compression rates analogous to walk...

Failure of articular cartilage has been investigated experimentally and theoretically, but there is only partial agreement between observed failure and predicted regions of peak stresses. Since trauma and repetitive stress are implicated in the etiopathogenesis of osteoarthritis, it is important to develop cartilage models which correctly predict sites of high stresses. Cartilage is anisotropic...

A systematic approximation to the linear equations for small-amplitude surface waves in an elastic half space, interacting with a residually-stressed thin film of different material bonded to its plane boundary, is developed in powers of the film thickness, assuming the latter to be small compared to the wavelength of the disturbance. The theory is illustrated by calculating asymptotic expansio...

Unit cell homogenization techniques are applied on multiple length scales to compute the macroscopic hyperelastic stiffness characteristics of textile-reinforced polymer matrix composites. On the smallest scale (~50μm) the effective transversely isotropic properties of tows (or yarns) are computed based on both fiber and matrix properties. These position-dependent transversely isotropic effecti...