On micropolar theory of shallow shells.

Note on a Micropolar Gas-Kinetic Theory

The micropolar fluid mechanics and its transport coefficients are derived from the linearized Boltzmann equation of rotating particles. In the dilute limit, as expected, transport coefficients relating to microrotation are not important, but the results are useful for the description of collisional granular flow on an inclined slope. (This paper will be published in Traffic and Granular Flows 2...

Rotating Shallow Elastic Shells of Revolution

Introduction. I n what follows, we wish to show that the problem of the rotating thin elastic shell of revolution is intriguing in the following sense. It is possible to obtain a solution by means of a linear theory which looks so reasonable that one expects the nonlinear effects to be of secondary nature. However, when one considers the problem on the basis of a nonlinear theory, one finds tha...

On the Nonlinear Theory of Micropolar Bodies with Voids

Theory and simulation of micropolar fluid dynamics

This paper reviews the fundamentals of micropolar fluid dynamics (MFD), and proposes a numerical scheme integrating Chorin’s projection method and time-centred split method (TCSM) for solving unsteady forms of MFD equations. It has been known that Navier–Stokes equations are incapable of explaining the phenomena at micro and nano scales. On the contrary, MFD can naturally pick up the physical p...

Thermomechanical Buckling of Simply Supported Shallow FGM Spherical Shells with Temperature dependent Material

The thermomechanical buckling of simply supported thin shallow spherical shells made of functionally graded material is presented in this paper. A metal-ceramic functionally graded shell with a power law distribution for volume fraction is considered, where its properties vary gradually through the shell thickness direction from pure metal on the inner surface to pure ceramic on the outer surfa...