On equations of the linear theory of shells with surface stresses taken into account

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 shel...

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Bibliographic Details
Published inMechanics of solids Vol. 45; no. 3; pp. 331 - 342
Main Authors Altenbach, H., Eremeev, V. A., Morozov, N. F.
Format Journal Article
LanguageEnglish
Published Heidelberg Allerton Press, Inc 01.06.2010
Subjects
Classical Mechanics
Physics
Physics and Astronomy
surface stresses
plates
shells
effective stiffnesses
surface tension
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ISSN0025-6544
1934-7936
DOI10.3103/S0025654410030040

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Summary: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.
ISSN:0025-6544
1934-7936
DOI:10.3103/S0025654410030040