An adaptable refinement approach for shell finite element models based on node-dependent kinematics

Li, G.; Carrera, Erasmo; Cinefra, Maria; Miguel, A. G. de; Pagani, Alfonso; Zappino, Enrico

doi:10.1016/j.compstruct.2018.10.111

Cited by 43 publications

(19 citation statements)

References 32 publications

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“…By applying the Principle of Virtual Displacements (PVD), the general expressions of the stiffness matrix and load vector of the FE model, namely the Fundamental Neuclei (FNs), can be obtained. The explicit expressions of the FNs are given in [12]. As expounded by Carrera et al [46], the CUF-type FE formulation is independent of the kinematic assumptions adopted and is a general framework for the development of refined FE models.…”

Section: Carrera Unified Formulation (Cuf) For Refined 2d Modelsmentioning

confidence: 99%

“…Refined shell theories have been implemented in the Finite Element (FE) method and can provide solutions with great accuracy [10,11]. Towards implementing numerically efficient simulation methods for multi-layered structures, hierarchical functions have been adopted in the construction of refined shell elements in the framework of CUF [12]. Nevertheless, the effectiveness of hierarchical functions concerning the mitigation of shear and membrane locking on refined multi-layered shell finite elements remains to be quantitatively assessed.…”

Section: Introductionmentioning

confidence: 99%

“…The selective and reduced integration schemes on hierarchical elements were primarily discussed by Della Croce and Scapolla [39]. Carrera et al [12] reported a comparison between shell elements with MITC and plain hierarchical shape functions in the analysis of laminated structures.…”

Section: Introductionmentioning

confidence: 99%

“…The numerical efficiency of the hierarchical elements has been reported by many researchers [34,35,40,41]. In the framework of CUF, this type of hierarchical functions has been used on refined beam [42], plate [43], and shell [12] finite element models for multi-layered structures. Via refined hierarchical 2D elements, the FE models can be mathematically enriched on both the kinematic and shape function levels, leading to an adaptable refinement FE approach with optimal numerical efficiency.…”

Section: Introductionmentioning

confidence: 99%

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Evaluation of shear and membrane locking in refined hierarchical shell finite elements for laminated structures

Carrera

Cinefra

et al. 2019

Adv. Model. and Simul. in Eng. Sci.

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Shear and membrane locking phenomena are fundamental issues of shell finite element models. A family of refined shell elements for laminated structures has been developed in the framework of Carrera Unified Formulation, including hierarchical elements based on higher-order Legendre polynomial expansions. These hierarchical elements were reported to be relatively less prone to locking phenomena, yet an exhaustive evaluation of them regarding the mitigation of shear and membrane locking on laminated shells is still essential. In the present article, numerically efficient integration schemes for hierarchical elements, including also reduced and selective integration procedures, are discussed and evaluated through single-element p-version finite element models. Both shear and membrane locking are assessed quantitatively through the estimation of strain energy components. The numerical results show that the fully integrated hierarchical shell elements can overcome the shear and membrane locking effectively when a sufficiently high polynomial degree is reached. Reduced and selective integration schemes can help with the mitigation of locking on lower-order hierarchical shell elements.

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Section: Carrera Unified Formulation (Cuf) For Refined 2d Modelsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Evaluation of shear and membrane locking in refined hierarchical shell finite elements for laminated structures

Carrera

Cinefra

et al. 2019

Adv. Model. and Simul. in Eng. Sci.

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“…Also, a formulation of general shell elements using mixed interpolation of tonsorial components is discussed by Bathe and Dvorkin [36]. Petrolo and Carrera [37] and Li et al [38] present a novel methodology to construct refined finite shell elements. An adaptable two-level mathematical refinement approach was proposed for refined curvilinear finite shell elements based on Carrera unified formulation (CUF).…”

Section: Introductionmentioning

confidence: 99%

Buckling of Joined Composite Conical Shells Using Shear Deformation Theory under Axial Compression

Izadi

Shahrokh

Korayem

2019

SV-JME

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This paper investigates critical buckling loads in joined conical shells under axial compression. An analytical approach has been applied to study classical linear buckling of joined cones that are made of cross-ply fiber reinforced laminates. The governing equations have been extracted using first-order shear deformation theory (FSDT), and an analytical solution has been applied to extract critical buckling loads. Accordingly, the system of partial differential equations has been solved via separation of variables using Fourier expansion and power series method. The effects of the number of layers, lamination sequences, semi-vertex angles, shell thicknesses, shell lengths and boundary conditions on the stability of joined cones have been examined. For validation, the specific examples of the present study have been compared to previous studies. Using ABAQUSE/CAE software (a FEM-based software), the results of finite element have been extracted. The present method is in good agreement with the finite element and other research results. Finally, the differences in classical shell theory (CST) of Donnell type and first-order shear deformation theory have been discussed for different shell thicknesses.

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Introduction

Petrolo¹

2019

Advances in Predictive Models and Methodologies for Numerically Efficient Linear and Nonlinear Analysis of Composites

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An adaptable refinement approach for shell finite element models based on node-dependent kinematics

Cited by 43 publications

References 32 publications

Evaluation of shear and membrane locking in refined hierarchical shell finite elements for laminated structures

Evaluation of shear and membrane locking in refined hierarchical shell finite elements for laminated structures

Buckling of Joined Composite Conical Shells Using Shear Deformation Theory under Axial Compression

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