Variation principle and energetics of deformation of applied model of micropolar elastic circular thin bar
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2016, Vol 69, Issue 2
Abstract
In the present paper the general variation principle of plane stress state of micropolar theory of elasticity is considered in a circular area, on the basis of which the basic equations and boundary conditions of the mentioned theory are obtained. Accepting the known hypotheses of the construction of the theory of micropolar elastic thin straight bars, plates and shells, general variation principle for applied model of micropolar elastic circular thin bars with transverse shear deformations is obtained on the basis of variation principle of plane stress state. Based on the constructed variation principle the basic equations and natural boundary conditions of applied model of micropolar elastic circular thin bar are obtained. It is confirmed that all energy theorems and Ritz, Bubnov-Galerkin, FEM variation methods are applicable for the constructed model of micropolar elastic circular thin bar and for solutions of corresponding boundary value problems of the applied model.
Authors and Affiliations
Samvel Sargsyan, Meline Khachatryan
Keywords
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