Application of the Method of Power Series for Construction of Applied Model of Micropolar Elastic Thin Plates
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2013, Vol 66, Issue 4
Abstract
Dynamic equations, boundary and initial conditions of spatial stress state of the micropolar theory of elasticity with independent fields of displacements and rotations are considered in thin plate. Using the method of expansion to power series along the thickness of plate, applied two dimensional models of dynamic bending and plane stress state of micropolar elastic thin plates are constructed. It is shown that the constructed models coincide with the analogical models of micropolar plates, constructed on the basis of the asymptotically justified hypotheses method.
Authors and Affiliations
Knarik Zhamakochyan
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ON ONE PROBLEM OF THE PLANE THEORY OF ELASTICITY FOR A HALF-PLANE WEAKENED BY PERIODICALLY DISTRIBUTED EQUI-STRONG HOLES
The problem of elastic equilibrium of a lower half-plane which is weakened by periodically distributed equi- strong holes, is considered. The hole boundaries are assumed to be free from external stresses, an absolutely s...