Developments of Mindlin‐Reissner plate elements

S Cen, Y Shang - Mathematical Problems in Engineering, 2015 - Wiley Online Library
Since 1960s, how to develop high‐performance plate bending finite elements based on
different plate theories has attracted a great deal of attention from finite element researchers …

Accurate multilayered shell buckling analysis via the implicit-mesh discontinuous Galerkin method

G Guarino, V Gulizzi, A Milazzo - AIAA Journal, 2022 - arc.aiaa.org
A novel formulation for the linear buckling analysis of multilayered shells is presented. High-
order equivalent-single-layer shell theories based on the through-the-thickness expansion …

High-fidelity analysis of multilayered shells with cut-outs via the discontinuous Galerkin method

G Guarino, V Gulizzi, A Milazzo - Composite Structures, 2021 - Elsevier
A novel numerical method for the analysis of multilayered shells with cut-outs is presented.
In the proposed approach, the shell geometry is represented via either analytical functions …

[HTML][HTML] A discontinuous Galerkin formulation for nonlinear analysis of multilayered shells refined theories

G Guarino, A Milazzo - International Journal of Mechanical Sciences, 2023 - Elsevier
A novel pure penalty discontinuous Galerkin method is proposed for the geometrically
nonlinear analysis of multilayered composite plates and shells, modelled via high-order …

A high-resolution layer-wise discontinuous Galerkin formulation for multilayered composite plates

V Gulizzi, I Benedetti, A Milazzo - Composite Structures, 2020 - Elsevier
In this work, a novel high-resolution formulation for multilayered composite plates is
presented. The formulations is referred to as high-resolution since it combines (i) Layer-Wise …

An implicit mesh discontinuous Galerkin formulation for higher-order plate theories

V Gulizzi, I Benedetti, A Milazzo - Mechanics of Advanced Materials …, 2020 - Taylor & Francis
In this work, a discontinuous Galerkin formulation for higher-order plate theories is
presented. The starting point of the formulation is the strong form of the governing equations …

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

G Guarino, A Milazzo, V Gulizzi - Applied Mathematical Modelling, 2021 - Elsevier
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 …

Layer-wise discontinuous Galerkin methods for piezoelectric laminates

I Benedetti, V Gulizzi, A Milazzo - Modelling, 2020 - mdpi.com
In this work, a novel high-order formulation for multilayered piezoelectric plates based on the
combination of variable-order interior penalty discontinuous Galerkin methods and general …

The TDNNS method for Reissner–Mindlin plates

AS Pechstein, J Schöberl - Numerische mathematik, 2017 - Springer
A new family of locking-free finite elements for shear deformable Reissner–Mindlin plates is
presented. The elements are based on the “tangential-displacement normal-normal-stress” …

[HTML][HTML] The Immersed Boundary Conformal Method for Kirchhoff–Love and Reissner–Mindlin shells

G Guarino, A Milazzo, A Buffa, P Antolin - Computer Methods in Applied …, 2024 - Elsevier
This work utilizes the Immersed Boundary Conformal Method (IBCM) to analyze linear
elastic Kirchhoff–Love and Reissner–Mindlin shell structures within an immersed domain …