Transverse shear correction factors for laminates in cylindrical bending

Laitinen, M.; Lahtinen, H.; Sjölind, S.-G.

doi:10.1002/cnm.1640110107

Cited by 22 publications

(5 citation statements)

References 4 publications

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“…Finally, symbol denotes the component product (. * in [54]) that allows us to introduce different shear correction factors for each component of the E s matrix [55,56]…”

Section: Hellinger-reissner Formulation For Vatmentioning

confidence: 99%

Mixed shell element for static and buckling analysis of variable angle tow composite plates

Zucco

Groh

Madeo

et al. 2016

Composite Structures

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A mixed quadrilateral 3D finite element, obtained from the Hellinger-Reissner functional, is presented for linear static and buckling analyses of variable-angle tow (VAT) composite plates. Variable-angle tows describe curvilinear fiber paths within composite laminae and are a promising technology for tailoring the buckling and post-buckling capability of plates. Due to the variable stiffness across the planform of the VAT plates, pre-buckling stresses can be tailored and redistributed towards supported edges, thereby greatly improving the buckling load. A linear mixed element called MISS-4 is used as starting point for this work. The element presents a self-equilibrated and isostatic state of stress. The kinematics lead to element compatibility matrix calculations based solely on the interpolation along element edges. The drilling rotations do not require penalty functions or non-symmetric formulations, thus avoiding spurious energy modes. The buckling analysis is reliably performed via a co-rotational formulation. In this work VAT plates with linear fibre angle variation in one direction, and constant stiffness properties in the orthogonal direction are studied. Numerical examples of VAT plates subjected to different loads and boundary conditions are investigated herein. The convergence of displacements, stress resultants and buckling loads are presented, and comparisons with numerical results, obtained using the S4R finite element of Abaqus and the pseudo-spectral differential quadrature method, are shown.

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“…Finally, symbol denotes the component product (. * in [54]) that allows us to introduce different shear correction factors for each component of the E s matrix [55,56]…”

Section: Hellinger-reissner Formulation For Vatmentioning

confidence: 99%

Mixed shell element for static and buckling analysis of variable angle tow composite plates

Zucco

Groh

Madeo

et al. 2016

Composite Structures

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“…The shear correction factors are computed by assuming cylindrical bending (Laitinen et al, 1995) and are considered as constant (that is they are not updated using the recovered shear stress profiles): j 11 = 235445/404004, j 22 = 289/360, j 12 = 0 for the (0/90/0) laminate, j 11 = j 22 = 297680/362481 and j 12 = 0 for the (0/90) laminate. The reference solution have been computed according to Reddy (1997).…”

Section: Numerical Testsmentioning

confidence: 99%

“…It must be noted, however, that in FSDT transverse shear deformation effects are accounted for in a simplified manner while transverse normal effects, which could be also significant for thick laminates (see, Carrera, 1999), are completely neglected. Transverse shear effects can indeed be adjusted by introducing the shear correction factors, which cannot in general be determined a priori apart from very special cases (Laitinen et al, 1995). Another well known difficulty is the accurate evaluation of the transverse stress profiles.…”

Section: Introductionmentioning

confidence: 99%

A hybrid stress approach for laminated composite plates within the First-order Shear Deformation Theory

Daghia

Miranda

Ubertini

et al. 2008

International Journal of Solids and Structures

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This paper presents a hybrid stress approach for the analysis of laminated composite plates. The plate mechanical model is based on the so called First-order Shear Deformation Theory, rationally deduced from the parent three-dimensional theory. Within this framework, a new quadrilateral four-node finite element is developed from a hybrid stress formulation involving, as primary variables, compatible displacements and elementwise equilibrated stress resultants. The element is designed to be simple, stable and locking-free. The displacement interpolation is enhanced by linking the transverse displacement to the nodal rotations and a suitable approximation for stress resultants is selected, ruled by the minimum number of parameters. The transverse stresses through the laminate thickness are reconstructed a posteriori by simply using three-dimensional equilibrium. To improve the results, the stress resultants entering the reconstruction process are first recovered using a superconvergent patch-based procedure called Recovery by Compatibility in Patches, that is properly extended here for laminated plates. This preliminary recovery is very efficient from the computational point of view and generally useful either to accurately evaluate the stress resultants or to estimate the discretization error. Indeed, in the present context, it plays also a key role in effectively predicting the shear stress profiles, since it guarantees the global convergence of the whole reconstruction strategy, that does not need any correction to accommodate equilibrium defects. Actually, this strategy can be adopted together with any plate finite element. Numerical testing demonstrates the excellent performance of both the finite element and the reconstruction strategy.

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“…Shear correction factors for cylindrical bending are assumed and their values are set accordingly to [16]: k 11 = 235445/404004, k 22 = 289/360, k 12 = 0. The reference solution has been calculated according to [17].…”

Section: Structured Mesh: Convergence and Accuracy Assessmentmentioning

confidence: 99%

Transverse stress profiles reconstruction for finite element analysis of laminated plates

Miranda

Patruno

Ubertini

2012

Composite Structures

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Transverse shear correction factors for laminates in cylindrical bending

Cited by 22 publications

References 4 publications

Mixed shell element for static and buckling analysis of variable angle tow composite plates

Mixed shell element for static and buckling analysis of variable angle tow composite plates

A hybrid stress approach for laminated composite plates within the First-order Shear Deformation Theory

Transverse stress profiles reconstruction for finite element analysis of laminated plates

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