Discrete-layer models for multilayered shells accounting for interlayer continuity

Based on adiscrete-layer approach, in a recent series of papers, the first author has developed the equations governing the elastodynamic behaviour of moderately thick multilayered anisotropic plates by making use of a displacement field which allows a non-linear variation of the in-plane displacements through the laminate thickness and fulfilsa priori the static and geometric continuity conditions at the interfaces between two adjacent layers. Based on this approach, in the present paper we derive the equations of motion and variationally consistent boundary conditions of moderately multilayered anisotropic shells. To show the accuracy and reliability of the proposed approach, closed-form solutions are given and compared with results from three-dimensional elasticity and other approximate bi-dimensional models with and without continuous interlayer stresses. Based on this numerical investigation, the proposed approach appears to work very well.SommarioFacendo uso di un approccio del tipodiscrete-layer, in una recente serie di lavori, il primo autore ha rieavato le equazioni del moto indefinite e le condizioni al contorno per piastre anisotrope multistrato, moderatamente spesse. L'approccio si basa sull'assunzione di una legge di variazione degli spostamenti secondo il piano tangente alla superficie media, ottenuta sovrapponendo una legge cubica ad una legge continua lineare a tratti; in tal modo risultano soddisfatte le condizioni di continuitá degli spostamenti e delle tensioni tangenziali all'interfaccia tra due strati. Nel presente lavoro, tale approccio viene esteso al caso di gusci multistrato anisotropi, moderatamente spessi. La validitá dell'approccio proposto viene suffragata mediante confronti numerici con risultati, reperiti in letteratura, ottenuti utilizzando o la teoria dell'elasticitá tridimensionale o altri modelli bidimensionali piú o meno sofisticati.

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