On the Effectiveness of Higher-Order Terms in Refined Beam Theories

By Erasmo Carrera, Marco Petrolo. 2011

204 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/1d59af63261bc3fdc99d17dc9f466e00a7c4164b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Performance of CUF Approach to Analyze the Structural Behavior of Slender Bodies (2012, unknown): “In the framework of the CUF (Carrera 2002, 2003; Carrera and Giunta 2010; Carrera et al. 2010a, b; Carrera and Petrolo 2011), the displacement field is assumed as an expansion in terms of generic functions, F τ as follows: where F τ = functions of coordinates x and z on the cross section; u τ =…”
Use of Lagrange multipliers to combine 1D variable kinematic finite elements (2013, methodology): “Moreover, an asymptotic-like analysis aimed at reducing refined models were carried out in [26].”
Refined One-Dimensional Formulations for Laminated Structure Analysis (2012, background): “Models with a reduced number of terms can also be obtained, as shown in [2].”
Static and free vibration analysis of laminated beams by refined theory based on Chebyshev polynomials (2015, unknown): “Over the last years, the CUF has been extended to beam structures [33, 34].”
Recent developments on refined theories for beams with applications (2015, unknown): “…structural theory, and to build reduced reﬁned theories which have the same accuracies as full expansion models but fewer unknown variables and to obtain the best theory diagram (BTD), where the accuracy of a model can be evaluated against the number of variables (Carrera and Petrolo, 2010, 2011).”
Accurate free vibration analysis of thermo-mechanically pre/post-buckled anisotropic multilayered plates based on a refined hierarchical trigonometric Ritz formulation (2013, background): “Guidelines and recommendations to construct theories for metallic and composite plates were given by Carrera and Petrolo in [26,27] and recently in [28] a genetic algorithm to evaluate the best plate theory diagram has been proposed.”
Efficient CUF-based FEM analysis of thin-wall structures with Lagrange polynomial expansion (2020, background): “This beam formulation has the advantage of being hierarchical, allowing to improve the corresponding solutions toward a more accurate representation of higher-order effects [36].”