Beam Structures: Classical and Advanced Theories

By Erasmo Carrera, Gaetano Giunta, Marco Petrolo. 2011

605 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/30cc7ecce018cc2077b7a83a7095ba0abb8d0d28

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Unified formulation of geometrically nonlinear refined beam theories (2018, methodology): “These matrices are given in terms of FNs which, according to CUF, allow to engender the element matrices of any arbitrary refined and classical beam theories.”
Efficient CUF-based FEM analysis of thin-wall structures with Lagrange polynomial expansion (2020, methodology): “A beam formulation obtained by considering the definition of the displacement field through Taylor expansions is derived within the framework of a so-called unified formulation (CUF) [33, 34], which has been developed for the higher-order analysis of shell and plate structures [35].”
Free vibration of FGM layered beams by various theories and finite elements (2014, positive): “CUF is a well-known procedure, which was initially conceived for the development of refined plate and shell theories [20] and later extended to beam formulation [21].”
Vibration and buckling analysis of functionally graded sandwich beams by a new higher-order shear deformation theory (2015, neutral): “([23],[24]) developed Carrera Unified Formulation”
Use of Lagrange multipliers to combine 1D variable kinematic finite elements (2013, background): “The matrices C̃pp, C̃nn, C̃pn, and C̃np contains the material coefficients and they can be found in [20].”
Analysis of reinforced and thin-walled structures by multi-line refined 1D/beam models (2013, positive): “1D higher-order ﬁnite elements are developed within the framework of the Carrera Uniﬁed Formulation (CUF), which has been well established in the literature for over a decade [29, 30, 31, 32].”
Nonlinear bending analysis of FGM beams based on physical neutral surface and high order shear deformation theory (2013, background): “In the last few years, a powerful beam model [9] that is very general and has the accuracy of a 3D model, but the computational cost is far lower that solid 3D elements, Giunta et al.”
A new simple shear and normal deformations theory for functionally graded beams (2015, background): “The importance of thickness stretching effect is studied by Carrera et al. (2011b), Houari et al. (2013), Bessaim et al. (2013), Saidi et al. (2013), Hebali et al. 417 Mohamed Bourada, Abdelhakim Kaci, Mohammed Sid Ahmed Houari and Abdelouahed Tounsi (2014), Fekrar et al. (2014), Belabed et al.…”