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
Non-stationary flow of liquid in permeable walled tubes.
c
On synthesis of a spatial director four-link mechanism with two rotary, one cylindrical and one spherical pairs.
c
On the buckling of long layered plates and cylindrical shells.
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On an integral representation of Legendres functions, expressed in complex index and pure imaginary argument.
c
Stress-state of a circular disc in the conditions of smooth contact on the borders of the radial crack
An elastic equilibrium of a thin circular disc with a radial crack, the borders of which are in contact with the rigid stamps without friction, and in the contour of the disc 1) normal and tangential stresses, 2) a norma...