Mixed finite elements for nonlocal elastic multilayered composite plate refined theories

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A novel mixed finite element formulation for the layerwise analysis of nonlocal multilayered composite plates ispresented. The finite elements are formulated starting from the weak form of a set of governing equations for thelaminate layers that were deduced via the Reissner Mixed Variational Theorem. The primary variables, namelydisplacements and out-of-plane stresses, are expressed at layer level as through-the-thickness expansions of suitableselected functions with coefficients approximated by the finite element scheme. The through-the-thickness expansionorder is considered as a free parameter. This way, finite elements for different refined higher order platetheories can be systematically developed by assembling the layers contributions associated with the variable expansionterms. These contributions are called fundamental nuclei and their definition is formally unique whateverthe considered expansion order. The obtained finite elements inherently ensure stresses and displacements continuityat the layer interfaces and they allow to associate different values of the nonlocal parameter to the laminatelayers. Standard 9-node and 16-node isoparametric, quadrilateral finite elements have been implemented to verifythe viability of the proposed formulation. The obtained results compare favourably with literature solutions andhighlight the characteristics of the approach. Original results are proposed also to serve as benchmarking data.
Lingua originaleEnglish
pagine (da-a)112291-
Numero di pagine12
RivistaComposite Structures
Stato di pubblicazionePublished - 2020

All Science Journal Classification (ASJC) codes

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  • ???subjectarea.asjc.2200.2205???


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