Abstract A smoothed particle hydrodynamics code based on micropolar continua for geomaterials is developed problems involving large deformation and shear strain localization. Two typical geotechnical problems, i.e., biaxial compression test sand column collapse, are simulated using classical model to demonstrate the performance of newly proposed method. parameter study given scale effect in con...

1. Abstract In this paper we study concurrent material and structural optimum design of hollow plate with truss-like material based on a micropolar continua representation. The optimization formulation has two classes of design variables, relative density and local aperture distribution of truss-like material, under the given total material volume constraints. Three different objectives, which ...

The steady laminar stagnation point flow of an incompressible electrically conducting micropolar fluid impinging on a permeable flat plate with uniform suction/injection is considered. A uniform magnetic field is applied normal to the plate. The effect of viscous dissipation is taken into account. The governing partial differential equations are transformed into ordinary differential equations....

A numerical solution of the steady boundary layer equations under similarity assumptions is obtained for the three-dimensional flow of a micropolar fluid over a continuous stretching surface. The case when microrotation vector is zero on the solid surface is considered. Using properly similarity variables, the three-dimensional Navier – Stokes equations are reduced to a set of four coupled non-...

An initial-boundary value problem for 1D flow of a compressible viscous heat-conducting micropolar fluid is considered; the fluid is thermodynamically perfect and polytropic. Assuming that the initial data are Hölder continuous on 0, 1 and transforming the original problem into homogeneous one, we prove that the state function is Hölder continuous on 0, 1 × 0, T , for each T > 0. The proof is b...

The paper aims at investigating the effects of chemical reaction and thermal radiation on the steady two-dimensional laminar flow of viscous incompressible electrically conducting micropolar fluid past a stretching surface embedded in a non-Darcian porous medium. The radiative heat flux is assumed to follow Rosseland approximation. The governing equations of momentum, angular momentum, energy, ...