| Abstract: | Summary The basic principles of reducing the three-dimensional equations for laminate plates and shells to two-dimensional ones have been analyzed here. The equations for laminate plates and shells have been derived on the basis of the concept of a uniform stress-strain state of a thin-walled element, and without involvement of kinematic hypotheses. Two possible approaches have been considered, one without and one with the transverse shearing stress taken into account. In the first case the resulting equations are the classical equations based on the Kirchhoff-Love hypothesis., In the second case the resulting equations are more general than equations of the Timoshenko kind. Referred elasticity constants are defined which characterize the stiffnesses, longitudinal, flexural, and tangential of a stack of layers. It has been found that the correction introduced by taking into account the transverse shearing stressesis determined by the ratio of longitudinal stiffness to shear modulus as well as by the ratio of longitudinal to transverse stiffness.Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 14, No. 10, pp. 3–21, October, 1978. |
