A refined higher order finite element for asymmetric composite beams

Murthy, M. Krishna; Mahapatra, D. Roy; Badarinarayana, K.; Gopalakrishnan, S.

doi:10.1016/j.compstruct.2004.01.005

Cited by 92 publications

(62 citation statements)

References 15 publications

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“…It is observed that the present solutions are in excellent agreement with those calculated by various higher-order theories ( [11], [14], [24], [36], [37]). The axial and transverse shear stresses of these beams with L/h=5, 10, 20 are presented in Table 6 and compared to solutions obtained by Vo and Thai [14] and Zenkour [37].…”

Section: Static Analysissupporting

confidence: 77%

“…The present solutions are validated by comparison with those derived from HBTs ( [11], [15], [21], [22], [24], [25], [26]). Excellent agreements between solutions from the present model and previous ones are observed while a slight deviation with those from Mantari and Canales [24] is found for L/h=5.…”

Section: Vibration and Buckling Analysismentioning

confidence: 98%

“…For numerical methods, finite element method has been widely used to analyze composite beams [4][5][6][7][8][9][10][11][12][13][14][15][16][17]. For analytical approach, Navier solution is the simplest one, which is only applicable for simply supported boundary conditions ( [18][19][20]).…”

Section: Introductionmentioning

confidence: 99%

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Trigonometric-series solution for analysis of laminated composite beams

Nguyen

et al. 2017

Composite Structures

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Northumbria University has developed Northumbria Research Link (NRL) to enable users to access the University's research output. Copyright © and moral rights for items on NRL are retained by the individual author(s) and/or other copyright owners. Single copies of full items can be reproduced, displayed or performed, and given to third parties in any format or medium for personal research or study, educational, or not-for-profit purposes without prior permission or charge, provided the authors, title and full bibliographic details are given, as well as a hyperlink and/or URL to the original metadata page. The content must not be changed in any way. Full items must not be sold commercially in any format or medium without formal permission of the copyright holder. The full policy is available online: http://nrl.northumbria.ac.uk/policies.html This document may differ from the final, published version of the research and has been made available online in accordance with publisher policies. To read and/or cite from the published version of the research, please visit the publisher's website (a subscription may be required.) Trigonometric-series solution for analysis of laminated composite beams

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Section: Static Analysissupporting

confidence: 77%

Section: Vibration and Buckling Analysismentioning

confidence: 98%

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Trigonometric-series solution for analysis of laminated composite beams

Nguyen

et al. 2017

Composite Structures

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“…The mid-span displacements for different L/h ratios are compared with exact solutions [7] and the finite elements results ( [3], [12], [18], [35]) in Tables 5 and 6. Effect of span-to-height ratio on in-plane and transverse shear stresses of a simply-supported composite beam is given in Table 7.…”

Section: Numerical Examplesmentioning

confidence: 99%

“…To remove the discrepancies in the CBT and FOBT, the HOBTs are developed to avoid the use of shear correction factor and have a better prediction of response of laminated beams. The HOBTs can be developed based on the assumption of the higher-order variation of in-plane displacement ([8]- [12]) or both in-plane and transverse displacements ( [13]- [20]) through the depth of the beam. There is another type of higher-order theories which use trigonometric, hyperbolic and exponential functions to represent the shear deformation effects.…”

Section: Introductionmentioning

confidence: 99%

Static behavior of composite beams using various refined shear deformation theories

Thai

2012

Composite Structures

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Citation: Vo, Thuc and Thai, Huu-Tai (2012) Static behavior of composite beams using various refined shear deformation theories. Composite Structures, 94 (8) Northumbria University has developed Northumbria Research Link (NRL) to enable users to access the University's research output. Copyright © and moral rights for items on NRL are retained by the individual author(s) and/or other copyright owners. Single copies of full items can be reproduced, displayed or performed, and given to third parties in any format or medium for personal research or study, educational, or not-for-profit purposes without prior permission or charge, provided the authors, title and full bibliographic details are given, as well as a hyperlink and/or URL to the original metadata page. The content must not be changed in any way. Full items must not be sold commercially in any format or medium without formal permission of the copyright holder. The full policy is available online: http://nrl.northumbria.ac.uk/policies.html This document may differ from the final, published version of the research and has been made available online in accordance with publisher policies. To read and/or cite from the published version of the research, please visit the publisher's website (a subscription may be required.) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 Static behaviour of composite beams using various refined shear deformation theories AbstractStatic behaviour of composite beams with arbitrary lay-ups using various refined shear deformation theories is presented. The developed theories, which do not require shear correction factor, account for parabolical variation of shear strains and consequently shear stresses through the depth of the beam. In addition, they have strong similarity with Euler-Bernoulli beam theory in some aspects such as governing equations, boundary conditions, and stress resultant expressions. A two-noded C 1 finite element with six degree-of-freedom per node which accounts for shear deformation effects and all coupling coming from the material anisotropy is developed to solve the problem. Numerical results are performed for symmetric and anti-symmetric cross-ply composite beams under the uniformly distributed load and concentrated load. The effects of fiber angle and lay-ups on the shear deformation parameter and extension-bending-shear-torsion response are investigated.

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Buckling and Vibration Analysis Based on a Novel Unified Model for Laminated Composite Beams

Nguyen

2021

Proceedings of the 2nd Annual International Conference on Material, Machines and Methods for Sustainable Development (MMMS2020)

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A refined higher order finite element for asymmetric composite beams

Cited by 92 publications

References 15 publications

Trigonometric-series solution for analysis of laminated composite beams

Trigonometric-series solution for analysis of laminated composite beams

Static behavior of composite beams using various refined shear deformation theories

Buckling and Vibration Analysis Based on a Novel Unified Model for Laminated Composite Beams

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