On Equations of the Linear Theory of Shells with Surface Stresses Taken into Account

Holm Altenbach (1) , Victor A. Eremeyev (1) , Nikita F. Morozov (2)

1 Institut für Mechanik
2 Elasticity Department

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.

Domaines: Mécanique [physics.med-ph]

Holm Altenbach, Victor A. Eremeyev, Nikita F. Morozov. On Equations of the Linear Theory of Shells with Surface Stresses Taken into Account. Mechanics of Solids, 2010, 45 (3), pp.331-342. ⟨hal-00824841⟩