Performance of CUF Approach to Analyze the Structural Behavior of Slender Bodies

By Erasmo Carrera, Marco Petrolo, Enrico Zappino. 2012

107 citations recorded by the source corpus.

This paper deals with the accurate evaluation of complete three-dimensional (3D) stress fields in beam structures with compact and bridge-like sections. A refined beam finite-element (FE) formulation is employed, which permits any-order expansions for the three displacement components over the section domain by means of the Carrera Unified Formulation (CUF). Classical (Euler-Bernoulli and Timoshenko) beam theories are considered as particular cases. Comparisons with 3D solid FE analyses are provided. End effects caused by the boundary conditions are investigated. Bending and torsional loadings are considered. The proposed formulation has shown its capability of leading to quasi-3D stress fields over the beam domain. Higher-order beam theories are necessary for the case of bridge-like sections. Various theories are also compared in terms of shear correction factors on the basis of definitions found in the open literature. It has been confirmed that different theories could lead to very different values of shear correction factors, the accuracy of which is subordinate to a great extent to the section geometries and loading conditions. However, an accurate evaluation of shear correction factors is obtained by means of the present higher-order theories.

Subfields: Building and Construction, Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/af566078c47725aa35e6b875e927ac9102004698

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Citations in the corpus

Recent developments on refined theories for beams with applications (2015, unknown): “Analysis of Aerospace Structures via the Component-Wise Approach A free vibration analysis of wings by means of the 1D CUF has been conducted by Carrera et al. (2012b).”
Refined beam elements with only displacement variables and plate/shell capabilities (2012, background): “Static analyses, see [8, 11], showed the strength of CUF in dealing with warping, in-plane deformations, and shear effects.”
Analysis of reinforced and thin-walled structures by multi-line refined 1D/beam models (2013, unknown): “The strength of CUF TE 1D models in dealing with arbitrary geometries, thin-walled structures and identifying local eﬀects is well known for both static [33, 34] and free-vibration analysis [35, 36, 37].”
Carrera Unified Formulation for Free-Vibration Analysis of Aircraft Structures (2016, methodology): “The performances of the refined models obtained through the CUF have been shown in many works [34–36].”
Hierarchical theories of structures based on Legendre polynomial expansions with finite element applications (2017, methodology): “This class of 1D CUF models, which are known as TE (Taylor Expansion) models in the literature, have been used in various works (see for example [23, 24, 25, 26, 27]).”
Free vibration of FGM layered beams by various theories and finite elements (2014, unknown): “CUF has been extensively used for dealing with a wide range of structural problems including, for instance, the static and dynamic analysis of composite structures [22,23], the free vibration analysis of rotating beams [24] and the study of the mechanical behaviour of structures with unconventional ”
Static analyses of FGM beams by various theories and finite elements (2015, background): “CUF has been extensively used for dealing with a wide range of structural problems including, for instance, the static and dynamic analysis of composite structures [22–25], the free vibration analysis of rotors [26] and FG structures [27–29] and the study of the mechanical behavior of structures wit”
Refined dynamic stiffness elements applied to free vibration analysis of generally laminated composite beams with arbitrary boundary conditions (2014, unknown): “The strength of CUF TE 1D models in dealing with arbitrary geometries, thin-walled structures and identifying local effects are well known for both static [28,29] and free-vibration analysis [30–32].”
Use of Lagrange multipliers to combine 1D variable kinematic finite elements (2013, methodology): “An MSC/NASTRAN R © solid model was used for comparison purposes and it was taken from [23], where the mechanical behavior of the present bridge-like 19”
Free vibration analysis of rotating composite blades via Carrera Unified Formulation (2013, unknown): “) in [28–35].”
Refined One-Dimensional Formulations for Laminated Structure Analysis (2012, background): “Several other applications of theCUFmodels were proposed: joined wings [61], and bridgelike cross sections [62,63].”
Efficient CUF-based FEM analysis of thin-wall structures with Lagrange polynomial expansion (2020, methodology): “investigated the CUF approach to analyze the structural behavior of compact and bridge-like sections and demonstrated the CUF capability of leading to quasi-3D stress fields over the beam domain [3].”