Predictor–corrector procedures for analysis of laminated plates using standard Mindlin finite element models

Sze, K. Y.; He, Lei; Cheung, Y.K.

doi:10.1016/s0263-8223(00)00095-7

Cited by 23 publications

(12 citation statements)

References 20 publications

(42 reference statements)

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“…Therefore, some of the postprocessing and stress recovery approaches, based on the superconvergence concept, need to be used in evaluating these spatial derivatives (see, for example [23]). However, to simplify the calculations, a simple process is used for evaluating the transverse shear stresses in the element origin [19]. The equivalent loads in the element origin are calculated using a finite difference scheme.…”

Section: Methodsmentioning

confidence: 99%

“…Thus, the in-plane stress/strain are bilinear in x and y whereas their xand y-derivatives are linear in y and x, respectively. To avoid the complication of computing the second derivatives of the displacement inside a general quadrilateral [14], the simple process proposed by Sze et al [19] has been used. The transverse shear stress will be calculated in the element origin according to the in-plane stresses obtained in the 4 second-order Gaussian stations (reduced integration).…”

Section: Implementation Of the Model In Fem Codementioning

confidence: 99%

See 1 more Smart Citation

A model for thick laminates and sandwich plates

Nguyen

Caron

Sab

2005

Composites Science and Technology

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Section: Methodsmentioning

confidence: 99%

Section: Implementation Of the Model In Fem Codementioning

confidence: 99%

A model for thick laminates and sandwich plates

Nguyen

Caron

Sab

2005

Composites Science and Technology

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“…Among the possible methods, the zig-zag theories [1][2][3] can a priori satisfy the interlaminar continuity conditions of transverse shear stresses and the piecewise continuity of in-plane displacements, so that they can predict more accurate transverse shear stresses in comparison with the first-order shear deformation theories [4,5] and the global higher order theories [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

A new zig-zag theory and C0 plate bending element for composite and sandwich plates

Ren

Wanji

2010

Arch Appl Mech

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A higher-order zig-zag theory for laminated composite and sandwich structures is proposed. The proposed theory satisfies the interlaminar continuity conditions and free surface conditions of transverse shear stresses. Moreover, the number of unknown variables involved in present model is independent of the number of layers. Compared to the zig-zag theory available in literature, the merit of present theory is that the first derivatives of transverse displacement have been taken out from the in-plane displacement fields, so that the C 0 interpolation functions is only required during its finite element implementation. To obtain accurately transverse shear stresses by integrating three-dimensional equilibrium equations within one element, a six-node triangular element is employed to model the present zig-zag theory. Numerical results show that the present zig-zag theory can predict more accurate in-plane displacements and stresses in comparison with other zig-zag theories. Moreover, it is convenient to obtain transverse shear stresses by integration of equilibrium equations, as the C 0 shape functions is only used when implemented in a finite element.

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“…The first-order shear deformation theory and the global higher order theory belong to the C 0 -type laminated plate theories. For thin and moderately thick laminated composite plate, the first-order theory employing postprocessing approaches [6,7] can predict reasonably the transverse shear stresses. However, the accuracy of solutions of these theories depends on the shear correction factor.…”

Section: Introductionmentioning

confidence: 99%

A global-local higher order theory including interlaminar stress continuity and C0 plate bending element for cross-ply laminated composite plates

Wanji

2009

Comput Mech

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A C 0 -type global-local higher order theory including interlaminar stress continuity is proposed for the cross-ply laminated composite and sandwich plates in this paper, which is able to a priori satisfy the continuity conditions of transverse shear stresses at interfaces. Moreover, total number of unknowns involved in the model is independent of number of layers. Compared to other higher-order theories satisfying the continuity conditions of transverse shear stresses at interfaces, merit of the proposed model is that the first derivatives of transverse displacement w have been taken out from the in-plane displacement fields, so that the C 0 interpolation functions is only required during its finite element implementation. To verify the present model, a C 0 three-node triangular element is used for bending analysis of laminated composite and sandwich plates. It ought to be shown that all variables involved in present model are discretized by only using linear interpolation functions within an element. Numerical results show that the C 0 plate element based on the present theory may accurately calculate transverse shear stresses without any postprocessing, and the present results agree well with those obtained from the C 1 -type higher order theory. Compared with the C 1 plate bending element, the present finite element is simple, convenient to use and accurate enough.

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Predictor–corrector procedures for analysis of laminated plates using standard Mindlin finite element models

Abstract: First, second and third order Mindlin nine-node plate elements are employed for testing the proposed procedure. Its accuracy is demonstrated by a large number of examples.

Cited by 23 publications

References 20 publications

A model for thick laminates and sandwich plates

A model for thick laminates and sandwich plates

A new zig-zag theory and C0 plate bending element for composite and sandwich plates

A global-local higher order theory including interlaminar stress continuity and C0 plate bending element for cross-ply laminated composite plates

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