MITC9 Shell Elements Based on Refined Theories for the Analysis of Isotropic Cylindrical Structures

Cinefra, Maria; Chinosi, C.; Croce, Lucia Della

doi:10.1080/15376494.2011.581417

Cited by 39 publications

(20 citation statements)

References 29 publications

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“…Among others, Carrera [42] extends principle of virtual displacement (PVD) and RMVT variational statements to piezo-laminated plates, see also [43][44][45][46]. The plate geometry is considered and the MITC method [47][48][49][50][51][52] is used to contrast the shear locking. The governing equations for the free-vibration analysis of plate structures are derived from the PVD, in order to apply the FE method.…”

Section: Introductionmentioning

confidence: 99%

A layer-wise MITC9 finite element for the free-vibration analysis of plates with piezo-patches

Cinefra

Valvano

Carrera

2015

International Journal of Smart and Nano Materials

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The present article considers the free-vibration analysis of plate structures with piezoelectric patches by means of a plate finite element with variable through-the-thickness layer-wise kinematic. The refined models used are derived from Carrera's Unified Formulation (CUF) and they permit the vibration modes along the thickness to be accurately described. The finite-element method is employed and the plate element implemented has nine nodes, and the mixed interpolation of tensorial component (MITC) method is used to contrast the membrane and shear locking phenomenon. The related governing equations are derived from the principle of virtual displacement, extended to the analysis of electromechanical problems. An isotropic plate with piezoelectric patches is analyzed, with clamped-free boundary conditions and subjected to open-and short-circuit configurations. The results, obtained with different theories, are compared with the higher-order type solutions given in the literature. The conclusion is reached that the plate element based on the CUF is more suitable and efficient compared to the classical models in the study of multilayered structures embedding piezo-patches.

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Section: Introductionmentioning

confidence: 99%

A layer-wise MITC9 finite element for the free-vibration analysis of plates with piezo-patches

Cinefra

Valvano

Carrera

2015

International Journal of Smart and Nano Materials

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“…We compare the deflections obtained with the RBF method with the LW analytical solution given in [29] and the results obtained with two different shell finite elements: MITC4 and MITC9. These elements are based on CUF and they are described in details in [61] and [62], respectively. Various thickness ratios and laminations are considered.…”

Section: Spherical Shell In Bendingmentioning

confidence: 99%

Analysis of laminated doubly-curved shells by a layerwise theory and radial basis functions collocation, accounting for through-the-thickness deformations

et al. 2011

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In this paper, the static and free vibration analysis of laminated shells is performed by radial basis functions (RBFs) collocation, according to a layerwise deformation theory (LW). The present LW theory accounts for throughthe-thickness deformation, by considering an Mindlin-like evolution of all displacements in each layer. The equations of motion and the boundary conditions are obtained by Carrera's unified formulation, and further interpolated by collocation with RBFs.

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“…Both equivalent single layer (ESL) and layer-wise (LW) models are considered. The solution is obtained via finite element method (FEM) using a 9-node element based on the MITC9 formulation [21]. The fluid model is based on the linear formulation of the piston theory, therefore only supersonic regimes are investigated.…”

Section: Introductionmentioning

confidence: 99%

Aeroelastic Analysis of Composite Pinched Panels Using Higher-Order Shell Elements

Zappino

Carrera

Cinefra

2015

Journal of Spacecraft and Rockets

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MITC9 Shell Elements Based on Refined Theories for the Analysis of Isotropic Cylindrical Structures

Abstract: Original MITC9 shell elements based on refined theories for the analysis of isotropic cylindrical structures.

Cited by 39 publications

References 29 publications

A layer-wise MITC9 finite element for the free-vibration analysis of plates with piezo-patches

A layer-wise MITC9 finite element for the free-vibration analysis of plates with piezo-patches

Analysis of laminated doubly-curved shells by a layerwise theory and radial basis functions collocation, accounting for through-the-thickness deformations

Aeroelastic Analysis of Composite Pinched Panels Using Higher-Order Shell Elements

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