In this paper we study the hydrostatic limit of Navier-Stokes-alpha model in a very thin strip domain. We derive some Prandtl-type equations for and prove global well-posedness system small initial conditions an appropriate analytic function space.

Cells swell in response a hypoosmotic challenge. By converting osmotic pressure to hydrostatic pressure at the cell membrane via van't Hoff's law, and converting that to tension via Laplace's law one predicts that the cell membrane should stretch and become stiff. We tested this prediction using the atomic force microscopy. During osmotic swelling cells did not become stiff and generally became...

A new quantitative tissue differentiation theory which relates the local tissue formation in a fracture gap to the local stress and strain is presented. Our hypothesis proposes that the amounts of strain and hydrostatic pressure along existing calcified surfaces in the fracture callus determine the differentiation of the callus tissue. The study compares the local strains and stresses in the ca...

Although much is known about the effects of uniaxial mechanical loading on fibrocartilage development, the stress fields to which fibrocartilaginous regions are subjected to during development are mutiaxial. That fibrocartilage develops at tendon-to-bone attachments and in compressive regions of tendons is well established. However, the three-dimensional (3D) nature of the stresses needed for t...

Cold compaction is an essential step of the powder metallurgy process, which cost-effective in manufacturing industry. In present study, pure iron investigated. A MATLAB code developed to create a representative volume element with given size distribution, number particles, and initial relative density. The finite analysis performed by implementing ABAQUS/Explicit python script. Multi-particle ...

First-principles density functional theory DFT calculations have been used to obtain the constitutive relationships of pentaerythritol tetranitrate PETN-I , a crystalline energetic material. The isotropic equation of state EOS for hydrostatic compression has been extended to include uniaxial compressions in the 100 , 010 , 001 , 110 , 101 , 011 , and 111 crystallographic directions up to a comp...

The effect of stress (exerted by hydrostatic pressure of argon ambient enhanced up to 1.2 GPa) on the creation of oxygen-related defects in annealed Czochralski grown silicon (Cz-Si) was investigated. Concentrations of oxygen interstitials and of dislocations in Cz-Si samples with before-created nucleation centres for oxygen precipitation were markedly lower after pressure treatment at 1120 to ...