Applied model of elastic thin plates made from micropolar material with constrained rotation and application of the finite element method
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2018, Vol 71, Issue 2
Abstract
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.
Authors and Affiliations
Qnarik Zhamakochyan, Samvel Sargsyan
The estimation of application of equations of short waves in derivation of modulation equation for fluid-gas mixture.
c
On two-dimentional equations two-layer anisotropic plate, with full contact between the layers
Asimptotic method is applied and two dimention differential equations with partial derivatives from geometrically nonlinear equations of three demention problem of elastisity theory for two-layer anisotropic plate are re...
Design of anisotropic elastic plates of minimum volume.
c
Mathematical model of thermoelasticity of micropolar orthotropic elastic thin plates
In the present paper on the basis of asymptotically confirmed hypotheses method mathematical models of thermoelasticity of bending and plane stress state of micropolar orthotropic elastic thin plates are constructed.
Diffraction of a shock wave near wall make up an obtuse angle.
c