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H. Altenbach, V.A. Eremeev, and N.F. Morozov, "On Equations of the Linear Theory of Shells with Surface Stresses Taken into Account," Mech. Solids. 45 (3), 331-342 (2010)
Year 2010 Volume 45 Number 3 Pages 331-342
DOI 10.3103/S0025654410030040
Title On Equations of the Linear Theory of Shells with Surface Stresses Taken into Account
Author(s) H. Altenbach (Martin Luther University Halle-Wittenberg, Kurt-Mothes 1, Halle (Saale), 06099 Germany, holm.altenbach@iw.uni-halle.de)
V.A. Eremeev (South Federal University, Mil'chakova 8a, Rostov-on-Don, 344090 Russia, eremeyev.victor@gmail.com)
N.F. Morozov (St. Petersburg State University, Universitetskaya nab. 7-9, St. Petersburg, 199034 Russia, morozov@nm1016.spb.edu)
Abstract We construct equations of equilibrium and constitutive relations of linear theory of plates and shells with transverse shear strain taken into account, which are based on reducing the spatial elasticity relations with surface stresses taken into account to two-dimensional equations given on the shell median surface. We analyze the influence of surface elasticity moduli on the effective stiffness of plates and shells.
Keywords surface stresses, shells, plates, effective stiffnesses, surface tension
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Received 21 August 2009
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