Asymptoticaly Confirmed Hypoteses Metod for the Construction of Micropolar and Classical Theories of Elastic Thin Shells
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2014, Vol 67, Issue 1
Abstract
In the present paper, the system of equations of three-dimensional micropolar theory of elasticity, written down for thin shell as singularly perturbed with small geometric parameter system, is analyzed asymptotically: the internal iteration process and boundary layers are constructed, their interaction is studied, boundary conditions are obtained for each of them. Then, the main specific properties of the asymptotic solution accepting as hypotheses, general applied theory of micropolar elastic thin shells is constructed and it is shown that the constructed theory is asymptotically correct. Passing from the micropolar theory of thin shells to the classical theory, it is shown, that this applied classical theory of thin shells, when transverse shifts are taken into account, is asymptotically correct theory in relation to the other corrected theories of thin shells.
Authors and Affiliations
Samvel Sargsyan
Keywords
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