|
In this paper, a thin round plate of isotropic micropolar elastic material is
considered, in which the elastic deflections are comparable with their thickness, and small in
relation to the basic size, also both the angles of rotation of the normal elements to the middle
plane before deformation and their free rotations are small. Thus, the strain tensor and tensor
of bending-torsion takes into account not only linear but also the nonlinear terms in the
gradients of displacement and rotation. The stability problem is solved in the case when the
solid round plate is hinge supported along the contour and is under the action of radial
compressive forces. After solving the obtained boundary value problem, the critical value of
the external force is determined. The critical force of the micropolar problem is compared
with the value of the classical solution. The important properties of micropolar material are
established.
Keywords: micropolar, elastic, thin round plate, curvilinear coordinates, geometrically nonlinear, applied model, stability |
full paper (pdf, 912 Kb)