A discontinuous Galerkin formulation for the mechanical behaviour of Variable Angle Tow multi-layered composite plates is presented. The starting point of the formulation is the strong form of the governing equations, which are obtained by means of the Principle of Virtual Displacement, the Generalized Unified Formulation and the Equivalent Single Layer assumption for the mechanical behaviour of the whole assembly. To obtain the corresponding discontinuous Galerkin formulation, an auxiliary flux variable is introduced and the governing equations are rewritten as a first-order system of partial differential equations. To link neighbouring mesh elements, suitably defined numerical fluxes are introduced and an Interior Penalty discontinuous Galerkin formulation is obtained and presented. hp-convergence analyses for straight-fiber composite plates and a comparison with the results available in the literature for variable angle tow plates show the accuracy of the proposed formulation as well as the computational savings in terms of overall degrees of freedom.

Vincenzo Gulizzi, Ivano Benedetti, Alberto Milazzo (2020). A discontinuous Galerkin formulation for variable angle tow composite plates higher-order theories. In R.d.B. Roger Owen (a cura di), Proceedings of the 6th. European Conference on Computational Mechanics (Solids, Structures and Coupled Problems) ECCM 6 7th. European Conference on Computational Fluid Dynamics ECFD 7 (pp. 243-254).

### A discontinuous Galerkin formulation for variable angle tow composite plates higher-order theories

#### Abstract

A discontinuous Galerkin formulation for the mechanical behaviour of Variable Angle Tow multi-layered composite plates is presented. The starting point of the formulation is the strong form of the governing equations, which are obtained by means of the Principle of Virtual Displacement, the Generalized Unified Formulation and the Equivalent Single Layer assumption for the mechanical behaviour of the whole assembly. To obtain the corresponding discontinuous Galerkin formulation, an auxiliary flux variable is introduced and the governing equations are rewritten as a first-order system of partial differential equations. To link neighbouring mesh elements, suitably defined numerical fluxes are introduced and an Interior Penalty discontinuous Galerkin formulation is obtained and presented. hp-convergence analyses for straight-fiber composite plates and a comparison with the results available in the literature for variable angle tow plates show the accuracy of the proposed formulation as well as the computational savings in terms of overall degrees of freedom.
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2020
Settore ING-IND/04 - Costruzioni E Strutture Aerospaziali
978-84-947311-6-7
Vincenzo Gulizzi, Ivano Benedetti, Alberto Milazzo (2020). A discontinuous Galerkin formulation for variable angle tow composite plates higher-order theories. In R.d.B. Roger Owen (a cura di), Proceedings of the 6th. European Conference on Computational Mechanics (Solids, Structures and Coupled Problems) ECCM 6 7th. European Conference on Computational Fluid Dynamics ECFD 7 (pp. 243-254).
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/10447/366478`