Results on best theories for metallic and laminated shells including Layer-Wise models

Carrera, Erasmo; Cinefra, Maria; Lamberti, Alessandro; Petrolo, Marco

doi:10.1016/j.compstruct.2015.02.027

Cited by 43 publications

(12 citation statements)

References 35 publications

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“…Future works will deal with the construction of best theory diagrams (BTDs) for RMVT models via genetic algorithms. As shown in [49,50,54], the combined use of AAM, CUF and genetic M A N U S C R I P T…”

Section: A N U S C R I P Tmentioning

confidence: 98%

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Evaluation of mixed theories for laminated plates through the axiomatic/asymptotic method

Petrolo¹,

Cinefra²,

Lamberti³

et al. 2015

Composites Part B: Engineering

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Section: A N U S C R I P Tmentioning

confidence: 98%

“…The BTD is problem-dependent, and it can be obtained by exploiting genetic algorithms [49,50]. The most recent developments have dealt with the definition of more accurate techniques to evaluate the accuracy of the model [51,52], layer-wise plate [53] and shell [54] models.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of mixed theories for laminated plates through the axiomatic/asymptotic method

Petrolo¹,

Cinefra²,

Lamberti³

et al. 2015

Composites Part B: Engineering

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“…This leads to the development of reduced models whose accuracies are equivalent to those of full higher-order models. The AAM has been applied to several problems, including: static and free vibration of beams [38,40], metallic and composite plates [39,41], shells [42,43], LW models [44,45], advanced models based on the Reissner Mixed Variational Theorem [46], and piezoelectric plates [47].…”

Section: Fgmmentioning

confidence: 99%

Best Theory Diagrams for cross-ply composite plates using polynomial, trigonometric and exponential thickness expansions

Yarasca

Mantari

Petrolo³

et al. 2017

Composite Structures

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This paper presents Best Theory Diagrams (BTDs) employing combinations of Maclaurin, trigonometric and exponential terms to build two-dimensional theories for laminated cross-ply plates. The BTD is a curve in which the least number of unknown variables to meet a given accuracy requirement is read. The used refined models are Equivalent Single Layer and are obtained using the Unified Formulation developed by Carrera. The governing equations are derived from the Principle of Virtual Displacement (PVD), and Navier-type closed form solutions have been obtained in the case of simply supported plates loaded by a bisinuisoidal transverse pressure. BTDs have been constructed using the Axiomatic/Asymptotic Method (AAM) and genetic algorithms (GA). The influence of trigonometric and exponential terms in the BTDs has been studied for different layer configurations, length-to-thickness ratios and stresses. It is shown that the addition of trigonometric and exponential expansion terms to Maclaurin ones may improve the accuracy and computational cost of refined plate theories. The combined use of CUF, AAM and GA is a powerful tool to evaluate the accuracy of any structural theory.

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“…Via the axiomatic/asymptotic method (AAM), this paper presents best theory diagrams (BTD) [37] providing the shell finite elements with the minimum computational cost and maximum accuracy for a given problem. In [37], the results stemmed from strongform solutions restricting the analysis concerning boundary conditions and stacking sequences. This paper is the first contribution based on shell finite elements allowing the generation of BTD for various boundary conditions and stacking sequences.…”

Section: Introductionmentioning

confidence: 99%

Best theory diagrams for multilayered structures via shell finite elements

Petrolo

Carrera

2019

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

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Composite structures are convenient structural solutions for many engineering fields, but their design is challenging and may lead to oversizing due to the significant amount of uncertainties concerning the current modeling capabilities. From a structural analysis standpoint, the finite element method is the most used approach and shell elements are of primary importance in the case of thin structures. Current research efforts aim at improving the accuracy of such elements with limited computational overheads to improve the predictive capabilities and widen the applicability to complex structures and nonlinear cases. The present paper presents shell elements with the minimum number of nodal degrees of freedom and maximum accuracy. Such elements compose the best theory diagram stemming from the combined use of the Carrera Unified Formulation and the Axiomatic/Asymptotic Method. Moreover, this paper provides guidelines on the choice of the proper higher-order terms via the introduction of relevance factor diagrams. The numerical cases consider various sets of design parameters such as the thickness, curvature, stacking sequence, and boundary conditions. The results show that the most relevant set of higher-order terms are third-order and that the thickness plays the primary role in their choice. Moreover, certain terms have very high influence, and their neglect may affect the accuracy of the model significantly.

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Results on best theories for metallic and laminated shells including Layer-Wise models

Cited by 43 publications

References 35 publications

Evaluation of mixed theories for laminated plates through the axiomatic/asymptotic method

Evaluation of mixed theories for laminated plates through the axiomatic/asymptotic method

Best Theory Diagrams for cross-ply composite plates using polynomial, trigonometric and exponential thickness expansions

Best theory diagrams for multilayered structures via shell finite elements

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