We construct the analytic solution of a three-dimensional problem thermoelasticity for transversely isotropic space with internal stationary heat sources. By method direct integration, is reduced to system governing equations components stress tensor, which solved by using double integral Fourier transform.

In this paper, the equation of motion for an incompressible transversely isotropic fibre-reinforced elastic solid is derived in terms of a scalar function.   The general solution of the equation of motion is obtained, which satisfies the required radiation condition.  The appropriate traction free boundary conditions are also satisfied by the solution to obtain the required secular equation for...

The conditions that strain energy tensor and necessary condition on the roots of a constitutive equation must be positive definite produces some inequalities. These inequalities reduce the number of Rayleigh waves in orthotropic and transversely isotropic materials. Some earlier published work is found to be erroneous.

The aim of this paper is to provide, in the framework Green elasticity, closest or nearest fourthorder isotropic, cubic and transversely isotropic elasticity tensors with higher symmetries for a general anisotropic tensor any other lower symmetry. Using gauge parameter, procedure done on dimensionless form based different generalized Euclidean distances, namely conventional, log-, power-Euclide...

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 application of uniaxial pressure can induce elastic anisotropy in otherwise isotropic rocks. We consider models based on two very different rock classes, granites and weakly consolidated granular systems. We show (1) that these models share common underlying assumptions, (2) that they lead to similar qualitative behavior, and (3) that both provide a microscopic basis for elliptical anisotro...

Decorin and its associated glycosaminoglycan (GAG) side chain, dermatan sulfate (DS), play diverse roles in soft tissue formation and potentially aid in the mechanical integrity of the tissue. Deeper understanding of the distribution and orientation of the GAGs on a microscopic level may help elucidate the structure/function relationship of these important molecules. The hypothesis of the prese...

We develop an anisotropic plane-wave migration method based on wavefield extrapolation. In this new scheme, we decompose both source and receiver wavefields into plane waves by delaying shots. For each plane wave, we design a tilted coordinate system whose tilting angle depends on the propagation direction of the plane wave. The wavefield extrapolation is done by an implicit isotropic operator ...

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...