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

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Abstract

A discontinuous Galerkin formulation for the mechanical behaviour of VariableAngle Tow multi-layered composite plates is presented. The starting point of theformulation is the strong form of the governing equations, which are obtained by meansof the Principle of Virtual Displacement, the Generalized Unified Formulation and theEquivalent Single Layer assumption for the mechanical behaviour of the whole assembly.To obtain the corresponding discontinuous Galerkin formulation, an auxiliary flux variableis introduced and the governing equations are rewritten as a first-order system ofpartial differential equations. To link neighbouring mesh elements, suitably defined numericalfluxes are introduced and an Interior Penalty discontinuous Galerkin formulationis obtained and presented. hp-convergence analyses for straight-fiber composite platesand a comparison with the results available in the literature for variable angle tow platesshow the accuracy of the proposed formulation as well as the computational savings interms of overall degrees of freedom.
Original languageEnglish
Title of host publicationProceedings of the 6th. European Conference on Computational Mechanics (Solids, Structures and Coupled Problems) ECCM 6 7th. European Conference on Computational Fluid Dynamics ECFD 7
Pages243-254
Number of pages12
Publication statusPublished - 2020

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Computational Theory and Mathematics
  • Mechanics of Materials
  • Mechanical Engineering

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