Assessment of mixed and displacement-based models for static analysis of composite beams of different cross-sections

Aguiar, R.M.; Moleiro, F.; Soares, Cristóvão M. Mota

doi:10.1016/j.compstruct.2011.08.028

Cited by 38 publications

(19 citation statements)

References 11 publications

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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%

“…Assessments of several beam theories were performed by Aguiar et al [3] and Zhen and Wanji [4] for static, vibration, and stability analyses of composite beams. According to Ghugal and Shimpi [2], all of these beam theories can be classified into three main categories: the classical beam theory (CBT), the first-order beam theory (FOBT) and the higher-order beam theory (HOBT).…”

Section: Introductionmentioning

confidence: 99%

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Static behavior of composite beams using various refined shear deformation theories

Thai

2012

Composite Structures

103

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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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Section: Numerical Examplesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Static behavior of composite beams using various refined shear deformation theories

Thai

2012

Composite Structures

103

View full text Add to dashboard Cite

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“…These beam theories can be divided into three following categories: classical beam theory (CBT), first-order beam theory (FBT) and higher-order theory (HBT). A general review and assessment of these theories for composite beams can be found in [1][2][3]. It should be noted that CBT is only suitable for thin beams due to neglecting shear effect.…”

Section: Introductionmentioning

confidence: 99%

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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“…'s are the transformed elastic constants or stiffness matrix with respect to laminate axis x. The transformed elastic constant can be given by: 12 and 21 are the six independent engineering constants. To describe the RBT the following coordinate system is introduced.…”

Section: Theory and Formulationmentioning

confidence: 99%

“…In the third order shear deformation theory which is named as the RBT, the transverse shear strain is quadratic trough the thickness of the beam and does not need to use a SCF. Many higher order beam theories (HBT) including quasi-3D ones (HBT) have been developed to study the bending behaviour of composite beams and only some of them [4][5][6][7][8][9][10][11][12][13][14] are referenced here. The static behavior of of composite and sandwich beams have been investigated by using analytical and numerical methods.…”

Section: Introductionmentioning

confidence: 99%

Static Analysis of Reddy-Bickford Composite and Sandwich Beams via Ritz Method

Karamanlı¹

2017

Celal Bayar Üniversitesi Fen Bilimleri Dergisi

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This paper is dedicated to present static behaviour of Reddy-Bickford laminated composite and sandwich beams subjected to various sets of boundary conditions which are simply supported (SS), clamped-simply supported (CS), clamped-clamped (CC) and clamped-free (CF) by using Ritz method. An analytical solution based on polynomial series including auixiliary functions which are used to satisfy the boundary conditions is developed to solve the studied problem. The polynomial shape functions for axial, transverse deflections and the rotation of the crosssection are presented. The validation and convergence studies are performed by solving symmetric and antisymmetric cross-ply composite beam problems with various boundary conditions and aspect ratios. The numerical results in terms of mid-span deflections, axial and shear stresses are obtained to make comparison with previous studies and to investigate the accuracy of the present study. The effects of fiber angle, lay-up and aspect ratio on displacements and stresses are studied. The static response of the various laminated composite sandwich structures which have symmetric lay-up based on the various boundary conditions, fiber angles and thickness ratios is also studied. It is found that the polynomial series with auxiliary functions can be used for the static analysis of the composite and sandwich beams via Ritz method.

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Assessment of mixed and displacement-based models for static analysis of composite beams of different cross-sections

Cited by 38 publications

References 11 publications

Static behavior of composite beams using various refined shear deformation theories

Static behavior of composite beams using various refined shear deformation theories

Trigonometric-series solution for analysis of laminated composite beams

Static Analysis of Reddy-Bickford Composite and Sandwich Beams via Ritz Method

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