New finite element for analysis of shear lag

Prokić, Aleksandar

doi:10.1016/s0045-7949(02)00036-6

Cited by 32 publications

(11 citation statements)

References 6 publications

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“…Not all studies deal with the torsional behavior of the beam, whereas in most cases, it is examined within the context of classical nonuniform torsion theory . Beam elements of thin‐walled homogeneous cross sections without the aforementioned simplifications, capable of dealing with torsional shear lag effects as well, have been developed in the studies of .…”

Section: Introductionmentioning

confidence: 99%

“…Not all studies deal with the torsional behavior of the beam, whereas in most cases, it is examined within the context of classical nonuniform torsion theory [27,29,32]. Beam elements of thin-walled homogeneous cross sections without the aforementioned simplifications, capable of dealing with torsional shear lag effects as well, have been developed in the studies of [33,34].The development of advanced beam elements without adhering to the simplifying assumptions of thin-walled structures has received limited amount of literature. Among these studies, Park et al.…”

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confidence: 99%

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Advanced 3D beam element of arbitrary composite cross section including generalized warping effects

Sapountzakis

Dikaros

2015

Numerical Meth Engineering

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SummaryIn this paper, an advanced 20 × 20 stiffness matrix and the corresponding nodal load vector of a member of arbitrary composite cross section is developed taking into account shear lag effects due to both flexure and torsion (the case of the three‐dimensional beam element of arbitrary homogeneous cross section is treated as a special one). The composite member consists of materials in contact each of which can surround a finite number of inclusions. Nonuniform warping distributions are taken into account by employing four independent warping parameters multiplying a shear warping function in each direction and two torsional warping functions. Ten boundary value problems with respect to the kinematical components are formulated and solved employing the analog equation method, a BEM‐based technique. The aforementioned boundary value problems are formulated employing either an improved stress field arising from the correction of shear stress components or the stress field arising directly from displacement considerations. The warping functions and the geometric constants including the additional ones due to warping are evaluated employing a pure BEM approach, that is, only boundary discretization of the cross section is used. Numerical results are presented to illustrate the method and demonstrate its efficiency and accuracy. The deviations arising from the use of the advanced 20 × 20 stiffness matrix and the classical 12 × 12 or 14 × 14 ones employed in commercial software packages are illustrated through examples of great practical interest. Moreover, the influence of nonuniform warping effects necessitating the use of the aforementioned ‘advanced’ stiffness matrix is also demonstrated. Copyright © 2015 John Wiley & Sons, Ltd.

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Section: Introductionmentioning

confidence: 99%

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confidence: 99%

Advanced 3D beam element of arbitrary composite cross section including generalized warping effects

Sapountzakis

Dikaros

2015

Numerical Meth Engineering

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“…Beam models based on a cross-section discretization that considers warping functions of thin-walled cross-sections were presented in Laudiero [29], Razaqpur and Li [41], Prokić [37], Razaqpur and Li [42], Prokić [38,39], Kim and Kim [25], Prokić [40], Kim and Kim [26], Saadé et al [44]. A new finite beam model for the analysis of non-uniform torsion of beams that considers the cross-section warping through an additional degree of freedom and includes secondary torsional phenomena and shear effects has been proposed in Murin [34].…”

Section: Introductionmentioning

confidence: 99%

A higher order beam model for thin-walled structures with in-plane rigid cross-sections

Vieira

Virtuoso

Pereira

2015

Engineering Structures

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“…Due to extremely high susceptibility to geometrically non-linear effects, structural analysis of thin-walled members generally requires computationally expensive methods, employing shell finite elements or finite strips. Alternatively, following the pioneering work of Vlasov [1], several authors have proposed thinwalled beam theories incorporating cross-section in-and/or out-of-plane (warping) deformation (e.g., [2][3][4][5][6][7]). These formulations aim at small-to-moderate displacements and, in this context, have been proven to be extremely versatile and computationally efficient alternatives to finite strips and shell finite elements.…”

Section: Introductionmentioning

confidence: 99%

Incorporation of wall finite relative rotations in a geometrically exact thin-walled beam element

Gonçalves

Ritto‐Corrêa²,

Camotim³

2011

Comput Mech

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In this paper, a large displacement and finite rotation thin-walled beam element previously developed by the authors, which accounts for cross-section deformation, is extended by including finite relative rotations of the beam walls in the in-plane kinematic description of the crosssections. The inclusion of these relative rotations is motivated by the fact that it enables a simple and meaningful representation of the cross-section in-plane distortion and allows for a co-rotational description of the wall "local-plate" behavior, which leads to a computationally efficient numerical implementation. The present extension preserves all features of the original formulation, namely the geometrically exact description of the beam mid-surface and the allowance for arbitrary cross-section deformation modes complying with Kirchhoff's assumption. The efficiency of the resulting beam finite element is demonstrated by means of numerical examples, which include comparisons with solutions obtained by means of the previous beam finite element and standard shell finite elements.

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New finite element for analysis of shear lag

Cited by 32 publications

References 6 publications

Advanced 3D beam element of arbitrary composite cross section including generalized warping effects

Advanced 3D beam element of arbitrary composite cross section including generalized warping effects

A higher order beam model for thin-walled structures with in-plane rigid cross-sections

Incorporation of wall finite relative rotations in a geometrically exact thin-walled beam element

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