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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2012 Volume 12, Issue 2, Pages 56–64 (Mi isu297)

This article is cited in 10 papers

Mechanics

Asymptotic integration of dynamic elasticity theory equations in the case of multilayered thin shell

M. V. Wildea, L. Yu. Kossovichb, Yu. V. Shevtsovac

a Saratov State University, Educational Research Institute of Nanostructures and Biosystems
b Saratov State University, Chair of Mathematical Theory of Elasticity and Biomechanics
c Saratov State University, Chair of Geometry

Abstract: Asymptotic integration of elasticity theory 3D equations is fulfilled for the case of multilayered arbitrary-shaped thin-walled shells. The tangential and the transverse long-wave low-frequency approximations are constructed. The governing 2D equations are derived.

Key words: multilayered shells, long-wave low-frequency approximations, asymptotic methods.

UDC: 539.3

DOI: 10.18500/1816-9791-2012-12-2-56-64



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