Generalized Unified Formulation shell element for functionally graded Variable-Stiffness Composite Laminates and aeroelastic applications

Demasi, Luciano; Ashenafi, Yonas; Cavallaro, Rauno; Santarpia, Enrico

doi:10.1016/j.compstruct.2015.05.022

Cited by 25 publications

(11 citation statements)

References 75 publications

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“…The types of theories that can be generated with the GUF approach are the Advanced Higher Order Shear Deformation Theories (AHOSDTs), Zig-Zag Theories (ZZTs), Advanced Zig-Zag Theories (AZZTs), Layer Wise (LW) Theories, Partially Zig Zag Higher Order Shear Deformation Theories (PZ-ZHSDTs), Partially Zig Zag Advanced Higher Order Shear Deformation Theories (PZZAHSDTs), Partially Layer Wise Higher Order Shear Deformation Theories (PLHSDTs), Partially Layer Wise Advanced Higher Order Shear Deformation Theories (PLAHSDTs), Partially Layer Wise Zig Zag and Higher Order Shear Deformation Theories (PLZZHSDTs) and are extensively discussed in refs. [33] and [34].…”

Section: Background and Literature Studymentioning

confidence: 99%

“…Using the same logic that led to equation 18 and adopting Legendre polynomials in the thickness direction it is possible to write the explicit form of G k 12 x, y, z k as follows (details for the other material properties are reported in Appendix A of ref. [34]):…”

Section: Element's Variable Materials Properties In Both In-plane and Out-of-plane Directionsmentioning

confidence: 99%

“…In the material coordinate system x k m , y k m , and z k m , Hooke's coefficients are calculated with the formulas reported in Ref. [34].…”

Section: Element's Variable Materials Properties In Both In-plane and Out-of-plane Directionsmentioning

confidence: 99%

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Generalized Unified Formulation Shell Element for Functionally Graded Variable-Stiffness Composite Laminates and Aeroelastic Applications

Demasi

Ashenafi

Cavallaro

2015

56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

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Composite materials have been extensively used in engineering thanks to their lightweight, superior mechanical performances and possibility to tailor the structural behavior, increasing the available design space. Variable Angle Tow (VAT) structures exploits this advantage by adopting a curvilinear patterns for the fibers constituting the lamina. This work, for the first time, extends the Generalized Unified Formulation (GUF) to the case of fourth-order triangular shell elements and VAT composites. Functionally graded material properties in both the thickness and in-plane directions are also possible. The finite element has been formulated with layers of variable thickness with respect to the in-plane coordinates.GUF is a very versatile tool for the analysis of Variable Stiffness Composite Laminates (VSCLs): it is possible to select generic element coordinate systems and

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Section: Background and Literature Studymentioning

confidence: 99%

Section: Element's Variable Materials Properties In Both In-plane and Out-of-plane Directionsmentioning

confidence: 99%

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Generalized Unified Formulation Shell Element for Functionally Graded Variable-Stiffness Composite Laminates and Aeroelastic Applications

Demasi

Ashenafi

Cavallaro

2015

56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

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“…Demasi et al [29] formulated ESL models refined with MZZF and LW models based on the Generalized Unified Formulation (GUF) [30][31][32], and benchmarked the performance of the different approaches. However, the study mainly focused on highlighting the computational efficiency gains over 3D FE models.…”

Section: Introductionmentioning

confidence: 99%

Efficient 3D Stress Capture of Variable-Stiffness and Sandwich Beam Structures

et al. 2019

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Accurate modeling of composite structures is important for their safe application under different loading conditions. To provide accurate predictions of three-dimensional (3D) stress fields in an efficient computational framework, we employ a modeling approach that builds upon the recently developed hierarchical Serendipity Lagrange finite elements. The approach provides Layer-Wise (LW) and Equivalent Single-Layer (ESL) models for analyzing constantand variable-stiffness laminated beam structures. To enhance the capability of the ESL model, two ZigZag (ZZ) functions, namely Murakami's ZZ function (MZZF) and the Refined ZZ theory function (RZT), are implemented. For constant-stiffness laminated and sandwich beams, the RZT ZZ function predicts the structural response more accurately than the MZZF. However, for variable-stiffness laminated structures, the applicability of RZT remains unknown and its accuracy is therefore tested within the present formulation. Results obtained are validated against 3D closed-form and 3D Finite Element (FE) solutions available from the literature. For similar levels of accuracy, significant gains in computational efficiency are achieved over 3D FE and LW models by using the ESL approach with RZT ZZ functions.

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“…Civalek (2013) investigated the non-linear dynamic response of rectangular laminated composite plate resting on non-linear elastic foundation using the first-order shear deformation plate theory (FSDT) in conjunction with von-Karman-type non-linearity. Demasi et al (2015) carried out the analysis of functionally graded (FG) variable stiffness composite laminate using generalized unified formulations. Dokainish and Rawtani (1971) studied the vibration of a rotating cantilever plate using the finite element technique and devised an appropriate Southwell coefficient that relates the frequency of rotating and nonrotating plates.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of FG rotating plate using nonlinear-FEM

Parida

Mohanty

2019

MMMS

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Purpose The purpose of this paper is to investigate the linear and non-linear free vibration of a functionally graded material (FGM) rotating cantilever plate in the thermal environment. The study employs the development of a non-linear mathematical model using the higher order shear deformation theory in which the traction free condition is applied to derive the simplified displacement model with seven field variables instead of nine. Design/methodology/approach A mathematical model is developed based on the higher order shear deformation theory using von-Karman type non-linearity. The rotating plate domain has been discretized into C0 eight-noded quadratic serendipity elements with node wise 7 degrees of freedom. The material properties are considered temperature dependent and graded along the thickness direction obeying a simple power law distribution in terms of the volume fraction of constituents, based on Voigt’s micromechanical method. The governing equations are derived using Hamilton’s principle and are solved using the direct iterative method. Findings The importance of the present mathematical model developed for numerical analysis has been stated through the comparison studies. The results provide an insight into the vibration response of FGM rotating plate under thermal environment. The influence of various parameters like setting angle, volume fraction index, hub radius, rotation speed parameter, aspect ratio, side-thickness ratio and temperature gradient on linear and non-linear frequency parameters is discussed in detail. Originality/value A non-linear mathematical model is newly developed based on C0 continuity for the functionally graded rotating plate considering the 1D Fourier equation of heat conduction. The present findings can be utilized for the design of rotating plates made up of a FGM in the thermal environment under real-life situations.

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Generalized Unified Formulation shell element for functionally graded Variable-Stiffness Composite Laminates and aeroelastic applications

Cited by 25 publications

References 75 publications

Generalized Unified Formulation Shell Element for Functionally Graded Variable-Stiffness Composite Laminates and Aeroelastic Applications

Generalized Unified Formulation Shell Element for Functionally Graded Variable-Stiffness Composite Laminates and Aeroelastic Applications

Efficient 3D Stress Capture of Variable-Stiffness and Sandwich Beam Structures

Vibration analysis of FG rotating plate using nonlinear-FEM

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