Background: The theory of microstretch elastic bodies was first developed by Eringen (1971, 1990, 1999, 2004). This theory was developed by extending the theory of micropolar elastcity. Each material point in this theory has three deformable directors. Methods: The governing equations of a transversely isotropic microstretch material are specialized in x-z plane. Plane wave solutions of these g...

We show that a micropolar fluid model successfully describes granular flows on a slope. Micropolar fluid is the fluid with internal structures, and the coupling between the rotation of each particle and the macroscopic velocity field is taken into account; it is a hydrodynamical framework suitable for granular systems which consists of particles with macroscopic size. It is demonstrated that th...

and Applied Analysis 3 a bounded domain of R3. Indeed, the analysis of our situation is still more difficult. The difficulties arise from the lack of smoothness of the weak solution. To overcome this difficulty a penalization argument is needed. This argument generalizes the penalization method given in 10 , for the Navier-Stokes equations, to this case of micropolar fluids. In fact, if we take...

The problem of a blunt edge notch of elliptic contour in a strip of Cosserat (micropolar) elastic material under tension has been analyzed via two-dimensional (plane stress) finite element analysis. Both 3-node constant strain triangular elements and 4-node isoparametric elements were used. Three cases were explored: Cosserat characteristic length much less than the crack root radius, equal to ...