6533b7d8fe1ef96bd126a3b3

RESEARCH PRODUCT

Equivalent-Single-Layer discontinuous Galerkin methods for static analysis of multilayered shells

Alberto MilazzoVincenzo GulizziGiuliano Guarino

subject

PhysicsCurvilinear coordinatesApplied MathematicsMathematical analysisIsotropyShell (structure)02 engineering and technologyOrthotropic material01 natural sciences020303 mechanical engineering & transports0203 mechanical engineeringDiscontinuous Galerkin methodModeling and Simulation0103 physical sciencesDisplacement fieldCovariant transformationDiscontinuous galerkin methods Equivalent-Single-Layer theories High-order modelling Multilayered shellsBoundary value problemSettore ING-IND/04 - Costruzioni E Strutture Aerospaziali010301 acoustics

description

Abstract An original formulation for the elastic analysis of multilayered shells is presented in this work. The key features of the formulation are: the representation of the shell mean surface via a generic system of curvilinear coordinates; the unified treatment of general shell theories via an Equivalent-Single-Layer approach based on the through-the-thickness expansion of the covariant components of the displacement field; and an Interior Penalty discontinuous Galerkin scheme for the solution of the set of governing equations. The combined use of these features enables a high-order solution of the multilayered shell problem. Several numerical tests are presented for isotropic, orthotropic and multilayered shells with different geometrical configurations and boundary conditions, including the case of a non-smooth geometry. Comparisons with analytical solutions and finite-element simulations show the high-order accuracy as well as the capability and robustness of the proposed formulation, which can be a valuable tool for the analysis of generally-curved multilayered shells.

10.1016/j.apm.2021.05.024http://hdl.handle.net/10447/515277