Influence of different edge boundary conditions for the core and for the faces on deflections of the asymmetric sandwich strip and beam, with ends enabling carrying the bending moment are investigated in the paper. Two kinds of asymmetry of the clamped-clamped (C-C) sandwich structure are taken into account namely, asymmetry of faces and asymmetry of fastening of the faces to edge inserts. Numerical results which are presented to demonstrate the influence of the core conditions have been obtained according to a new analytical 2D model and by FEM. In order to make the analysis more valuable some experimental results have been compared. Influence of different edge conditions for the core, edge in-plane displacements of faces as well as asymmetry of faces and their fastening to inserts on the strip and beam deflection is examined. The usefulness of the new 2D model for validation of the FEM models is shown. All considerations and results refer to the sandwich structures composed of isotropic layers.
A new exact linear elasticity 2D local model of static bending of a sandwich strip is proposed in the paper. A passage from the strip solution to its counterpart for the sandwich beam is outlined. The model has been obtained by applying the semi-inverse technique as well as some original assumptions imposed on the stress and displacement fields and by expanding functions into a series which is not the Fourier series. New exact linear elasticity boundary conditions for the core at edges of the strip and some realistic edge boundary conditions for the facings have been included in the model. All through-the-thickness boundary and continuity conditions for the structure have been satisfied. Some numerical results are presented and compared with corresponding results predicted by a classical approximate model and by a refined model including the core compressibility.
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