On the mechanics of laminated doubly-curved shells subjected to point and line loads

By Francesco Tornabene, Nicholas Fantuzzi, M. Bacciocchi. 2016

89 citations recorded by the source corpus.

Abstract It is well-known that the implementation of concentrated forces, such as point and line loads, represents a challenging task, especially from the computational point of view, since a strong discontinuity has to be inserted in the structural model. The present paper aims to solve the static problem of laminated composite doubly-curved shell structures subjected to concentrated loads employing the Generalized Differential Quadrature (GDQ) as numerical tool, according to what has been shown by the authors in their previous works. Its accuracy and reliability features are proven for several grid distributions when the concentrated loads are modeled through the Dirac-delta function. The theoretical framework on which this approach is based is a Unified Formulation, which allows to investigate several Higher-order Shear Deformation Theories (HSDTs). The differential geometry is used to describe accurately the reference surface of various doubly-curved shell structures. The validity of the current approach is shown comparing the GDQ results with the exact and semi-analytical ones available in the literature. A posteriori recovery procedure based on the three-dimensional equilibrium equations for a shell structure is introduced to compute the through-the-thickness variation of strain, stress and displacement components by means of the GDQ method.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/95b6aff55875fb634ec55e7be3e2b7a7a378aff9

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

A Numerical Investigation on the Natural Frequencies of FGM Sandwich Shells with Variable Thickness by the Local Generalized Differential Quadrature Method (2017, background): “The formulation just presented can be easily extended to the case of two-dimensional domain following the same considerations shown in the works [108,109].”