Geometrically nonlinear theory of thin-walled composite box beams using shear-deformable beam theory

Vo, Thuc P.; Lee, Jae Hong

doi:10.1016/j.ijmecsci.2009.10.005

Cited by 25 publications

(24 citation statements)

References 22 publications

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“…In agreement with many authors that have analysed large deformation in Timoshenko`s beams [7,8,24,25], only nonlinear terms product of the variation in the longitudinal direction of transverse displacements will be considered in this work (Von Karman strains), leading to the following simplification of the Almansi strain tensor for any generic C point on the contour:…”

Section: Strains Stress Resultants and Constituve Relationshipsmentioning

confidence: 84%

“…are included and it is assumed that they are uniform in each cross section of the beam element. According to this consideration and to the assumptions of the FSDT theory, Vo and Lee [7,8,23] • Displacement field of the contour midline in terms of displacements of the pole point P:…”

Section: The Vlasov Warping Theory and The Model Of Leementioning

confidence: 99%

“…However, as it was shown by Gu and Chattopadhyay [6], the transverse shear strains have relevant effects in the case box beams made of anisotropic composite materials, even for very thin-walled beams. In the present work, both transverse and warping shear strains are considered in the FEM formulation using the model proposed by Vo and Lee [7], but the warping shear strain energy is neglected in the shear correction factors computations based on the premise of small to moderate twist rotations.…”

Section: Introductionmentioning

confidence: 99%

“…A general theoretical model based on the FSDT theory to describe the behavior of composites box beams under flexural and torsional loads was developed by this author and his co-workers, for both linear and non-linear problems [7,8]. The present work makes use of the aforementioned theoretical model, so it is concisely presented in the Part 2 of the paper.…”

Section: Introductionmentioning

confidence: 99%

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Linear and non-linear finite element analysis of shear-corrected composites box beams

López

Patiño

2013

Lat. Am. j. solids struct.

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The Updated Lagrangian formulation for non-linear finite element analysis is applied to the problem of thin-walled composites box beams undergoing large displacements. A shear correction factor for thinclosed rectangular sections is introduced into some terms of the variational formulation and its influence in the results is analyzed, in both linear and non-linear problems. The Vlasov's theory describing the coupled flexural-torsional phenomenon and the implementation of the FSDT theory in thin-walled beams is discussed, as well as the strains, stress resultants and constitutive relationships for composites box beams. The application of the Mechanic of Laminated Beam theory (MLB) to the calculation of the shear correction factors considering more constitutive terms for computing the shear flow in flanges and webs than those ones used in the original theory is also debated. The Updated Lagrangian finite element model applied in this work for nonlinear analysis of box beams is described. A comparison of the numerical results with those obtained experimentally, analytically and by the numerical models proposed by other authors is done for both linear and non-linear problems. The assumptions made in this work and the formulation developed only applies to thin-walled beams that undergo large displacements, but small to moderate twist rotations.

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Section: Strains Stress Resultants and Constituve Relationshipsmentioning

confidence: 84%

Section: The Vlasov Warping Theory and The Model Of Leementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Linear and non-linear finite element analysis of shear-corrected composites box beams

López

Patiño

2013

Lat. Am. j. solids struct.

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“…This example is concerned with the nonlinear analysis of the cantilever laminated box beam subjected to a transverse force considered by Stemple and Lee (1989); Vo and Lee (2009b); Vo and Lee (2010b); Vanegas and Patiño (2013).…”

Section: Cantilever Box Beam With Transverse Loadmentioning

confidence: 99%

Geometrically nonlinear analysis of thin-walled laminated composite beams

Melo

Mororã

Parente

2015

Lat. Am. j. solids struct.

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The use of thin-walled composite beams in Engineering has attracted great interest in recent years. Composite beams and other structural elements tend to have thin walls due to the high strength of the material. Other important aspect is that, even without reaching large strains and without overcoming the elastic limit of the material, such as beams present geometric nonlinear behavior due to their high slenderness, leading to large displacements and rotations. In this paper, a three-dimensional frame finite element for geometric nonlinear analysis of thin-walled laminated composite beams is presented. The finite element uses the Total Lagrangian formulation in order to allow the treatment of large displacements, but with moderated rotations. The constitutive matrix of the laminated beams is evaluated through a suitable thin-walled beam theory. In this theory, the effects of the couplings for several layups are considered, but the effects of the warping and transverse shear are neglected. Comparisons with numerical experiments demonstrate the very good accuracy of the proposed finite element.

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Analysis of shear deflections of deep composite box-type of beams using different shear deformation models

Girhammar

Atashipour

2015

Computers & Structures

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Geometrically nonlinear theory of thin-walled composite box beams using shear-deformable beam theory

Cited by 25 publications

References 22 publications

Linear and non-linear finite element analysis of shear-corrected composites box beams

Linear and non-linear finite element analysis of shear-corrected composites box beams

Geometrically nonlinear analysis of thin-walled laminated composite beams

Analysis of shear deflections of deep composite box-type of beams using different shear deformation models

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