| Abstract: | A refined model for bending of a three-layered panel with a soft filler is proposed. The modified model permits us to consider
the asymmetry of elastic properties and thickness of the outer layer relative to the middle plane of the panel in a composite
sandwich structure. In constructing the deformation mechanism, a heterogeneous kinematic model was adopted, which, in contrast
to the assumptions for the deformation of the whole stack of layers, features four degrees of displacement freedom permitting
consideration of the separate nature of the deformation of the outer layers in bending and of the intermediate layer in transverse
compression combined with shear. This approach is postulated according to an energetic evaluation of the deformation of the
layers 2]. The specific features of the stress from point forces in cylindrical bending are considered using the operational
Laplace method, which avoids the additional difficulties in analyzing the solution convergence arising when it is represented
by a series of eigenfunctions of the boundary value problem. The fundamental functions of a twelfth-order set of equations
are used to construct the boundary problem reduced to a Cauchy problem. Various boundary effects of the point stress are described
using a generalized Dirac function. Variants are examined for the limiting transformation of the model parameters leading
to a qualitative change in its kinematics and the corresponding simplified bending models.
Institute of Polymer Mechanics, Latvian Academy of Sciences, LV-1006 Riga, Latvia. Translated from Mekhanika Kompozitnykh
Materialov, No. 5, pp. 588–611, September–October, 1996. |
