|
In the present paper boundary value problems of three-dimensional micropolar
theory of elasticity with constrained rotation are considered in thin region of the plate. On the
basis of the previously developed hypotheses an applied theory of micropolar thin plates with
constrained rotation is constructed, where transverse shear strains are taken into account. The
energy balance equation is obtained and the corresponding variation functional is constructed.
The finite element method is developed for the boundary problems (statics and natural
oscillation) of micropolar plates with constrained rotation. On the basis of the analysis of the
corresponding numerical results main properties of the micropolarity of the material are
established.
Keywords: micropolar elasticity; constrained rotation; thin plate; applied theory; finite element method. |
full paper (pdf, 832 Kb)