By using the method of compliance functions and the Hankel transformation of the first order, we propose a procedure for the solution of the problem of torsion of a multilayer plate with elastic links between the layers. Two auxiliary functions connected with the transforms of stresses and displacements at the points of the top boundary of the layer are introduced for each layer. The recurrence relations for the auxiliary functions and the compliance functions of neighboring layers of the plate are constructed. For a two-layer plate, we analyze the influence of the coefficients of elastic links and the geometric and mechanical parameters of layers on the distribution of stresses at points of the common boundary of the layers.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 59, No. 2, pp. 109–115, April–June, 2016.
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Antonenko, N.M. A Problem of Axisymmetric Torsion of a Multilayer Plate with Elastic Links between the Layers. J Math Sci 231, 619–628 (2018). https://doi.org/10.1007/s10958-018-3839-4
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DOI: https://doi.org/10.1007/s10958-018-3839-4