Use of axiomatic/asymptotic approach to evaluate various refined theories for sandwich shells

Mashat, Daoud S.; Carrera, Erasmo; Zenkour, Ashraf M.; Khateeb, Sadah A. Al

doi:10.1016/j.compstruct.2013.10.046

Cited by 23 publications

(11 citation statements)

References 24 publications

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“…AAM examples can be found in [32] for plates, or in [36] for shells. In the following, the AAM is described, the Best Theory Diagram (BTD) for shells is introduced and then a method to build the BTD is explained.…”

Section: The Axiomatic/asymptotic Methods and The Best Theory Diagrammentioning

confidence: 99%

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

Carrera

Cinefra

Lamberti

et al. 2015

Composite Structures

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Section: The Axiomatic/asymptotic Methods and The Best Theory Diagrammentioning

confidence: 99%

“…The BTD is influenced by a number of geometrical and material parameters, and it can be obtained by exploiting genetic algorithms [35]. The most recent developments have dealt with the definition of more accurate techniques to evaluate the accuracy of the model [36,37] and with layer-wise plate models [38].…”

Section: Introductionmentioning

confidence: 99%

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

Carrera

Cinefra

Lamberti

et al. 2015

Composite Structures

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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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“…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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Use of axiomatic/asymptotic approach to evaluate various refined theories for sandwich shells

Cited by 23 publications

References 24 publications

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

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

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

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

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