Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936

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IssuesArchive of Issues2010-5pp.712-723

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V.A. Shachnev, "Bending Equation for a Quasianisotropic Plate," Mech. Solids. 45 (5), 712-723 (2010)
Year 2010 Volume 45 Number 5 Pages 712-723
DOI 10.3103/S0025654410050067
Title Bending Equation for a Quasianisotropic Plate
Author(s) V.A. Shachnev (Moscow State Forest University, 1-ya Institutskaya St.,1, Mytishchi, Moscow Region, 141005 Russia)
Abstract In the framework of the linear theory of elasticity, an exact bending equation is obtained for the median plane of a plate whose material is a monoclinic system with the axis of symmetry perpendicular to the plate plane. As an example, the equation of the median plane of an isotropic plate is considered; the operator of this equation coincides with the operator of Sophie Germain's approximate equation. As the plate thickness tends to zero, the right-hand side of the equation is asymptotically equivalent to the right-hand side of the approximate equation. In addition, equations relating the median plane transverse stresses and the total stresses in the plate boundary planes to the median plane deflexions are obtained.
Keywords plate, anisotropy, elasticity, bending
Received 12 March 2007
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