M. V. Wilde, L. Yu. Kossovich, Yu. V. Shevtsova, “Asymptotic integration of dynamic elasticity theory equations in the case of multilayered thin shell”, Izv. Saratov Univ. Math. Mech. Inform., 2012, Volume 12, Issue 2,Pages <nobr>56

This article is cited in 9 papers

Mechanics

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

M. V. Wilde^a, L. Yu. Kossovich^b, Yu. V. Shevtsova^c

^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