Block Finite-Element Model of Layer-by-Layer Analysis of the Stress−Strain State of Three-Layer Generally Irregular Shells of Double-Curvature Revolution

Аннотация

The block finite-element approach is proposed for constructing a new corrected model for layer-by-layer analysis of the stress−strain state of three-layer generally irregular shells of double-curvature revolution. For the first time, a filler model has been developed for such shells, which is based on more accurate settings than those in similar conventional models; in this case, one succeeds in avoiding the breaking of generalized displacements on the interfaces with the carrier layers and, depending on the conditions of the problem, passes to simpler models. The model constructed makes it possible to take into account the change in the properties and parameters of the stress−strain state along all three coordinates to which the shell is assigned and to obtain for the first time the solution in a corrected formulation for various shell shapes and boundary conditions of the layers, as well as for their discontinuities.