Bending, vibration and buckling of simply supported thick multilayered orthotropic plates: An evaluation of a new displacement model

Sciuva, Marco Di

doi:10.1016/0022-460x(86)90169-0

Cited by 353 publications

(151 citation statements)

References 11 publications

Supporting

Mentioning

148

Contrasting

Order By: Relevance

“…Zigzag theories seek to meet this requirements by adopting a kinematics having a number of generalized displacements as the corresponding ESL theory [16,37,38,40]. To do this, the in-plane displacement field within each layer is taken to be composed of the superposition of global and local contributions, while the transverse displacement is assumed to be constant over the thickness.…”

Section: First-order DI Sciuva's Zigzag Theory-dsczztmentioning

confidence: 99%

“…10), that is, a linear expansion of the in-plane displacements ( Figure 5(a)) [16,37,38,40]. It is easy to convince that the zigzag local enrichment, (a) is a continuous piece-wise linear function of the z coordinate (it satisfy a-priori the interface continuity conditions on the displacements); (b) has piece-wise constant first derivative; (c) adds N-1 unknown generalized displacements for each coordinate directions; (d) is zero on the first layer.…”

Section: First-order DI Sciuva's Zigzag Theory-dsczztmentioning

confidence: 99%

“…In addition to the weaknesses of the ESL models, it is well-know that FSDT needs ad hoc shear correction factors to yield accurate results [14,15,16,17,18]. As well-known, CLPT and FSDT perform relatively well in predicting global quantities, such as, transverse displacement, fundamental natural frequency and buckling load for thin and moderately thick laminates that have a relatively low degree of transverse heterogeneity; however, their accuracy diminishes rapidly when they are used to predict the displacement and stress fields in highly heterogeneous and/or thick composite and sandwich laminates [11,19,16,20,21]. Improved predictions can be obtained using higher order through-the-thickness expansions of the displacements and/or stresses [22].…”

Section: Introductionmentioning

confidence: 99%

“…Extensions of the kinematics of the Di Sciuva's First-order zigzag theory (linear zigzag model) include, among other: (i) extension to the linear [41] and nonlinear [48] multilayered shell theory; (ii) general lamination lay-up [42,47,49]; (iii) satisfaction of the shear stress-free boundary conditions on the top and bottom surfaces [44,46,50]; (iv) polynomial expansion of the global part to any degree [47,49]; (v) extension to the dynamics, buckling [16,47,49,48]; (vi) thermal effects [68], [69]; (vii) sublaminates approach [68,69,70,71,72,73,74]; (viii) inclusion of von Kármán geometrically nonlinear effects [16,48,49]; (ix) extension to the nonlinear theory of laminated composites with damaged interfaces [49,68,69,74,75,76]; (x) inclusion of the transverse normal strain and stress [74,77,78]; (xi) visco-elastic effects [79]; (xii) active control of beams, plates and shells [80].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

First-Order Displacement-Based Zigzag Theories for Composite Laminates and Sandwich Structures: A Review

Sciuva¹

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

View full text Add to dashboard Cite

show abstract

Section: First-order DI Sciuva's Zigzag Theory-dsczztmentioning

confidence: 99%

Section: First-order DI Sciuva's Zigzag Theory-dsczztmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

First-Order Displacement-Based Zigzag Theories for Composite Laminates and Sandwich Structures: A Review

Sciuva¹

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

View full text Add to dashboard Cite

show abstract

“…These theories assume that the axial displacement is the superposition of a linear piecewise zigzag distribution and a linear [6,7], quadratic [8,9] or cubic [10][11][12][13] in-plane displacement field. In the most of early zigzag theories the zigzag function is obtained by enforcing the continuity of the transverse shear stresses across the laminate thickness.…”

Section: -) Introductionmentioning

confidence: 99%

Two-noded zigzag beam element accounting for shear effects based on an extended Euler Bernoulli theory

Capua

Oñate

2015

Composite Structures

View full text Add to dashboard Cite

We present a new 2-noded beam element based on the refined zigzag theory and the classical EulerBernoulli beam theory for the static analysis of composite laminate and sandwich beams. The proposed element is able to take into account distortion effects due to shear elastic strains and can predict delamination. The element has four degrees of freedom per node. A 1 C cubic Hermite interpolation is used for the vertical deflection while a 0 C linear interpolation is employed for the other kinematics variables. The stiffness matrix and the load vector are calculated in explicit form using exact integration. The element is free from shear locking as confirmed with numerical tests on a wide range of the slenderness ratios. Numerical results show the ability of the EEBZ2 element to reproduce accurately the vertical deflection along the beam length and complex zigzag distributions of the axial displacement and the stresses across the thickness. Delamination effects are modeled by incorporating of an additional zigzag function corresponding to the kinematics of a zero thickness layer where delamination occurs. An example showing the capability of the new EEBZ2 element for accurately reproducing delamination effects is presented.

show abstract

Interlaminar Shear Stress Analysis of Composite Laminate With Layer Reduction Technique

Lee

Chen

1996

Int. J. Numer. Meth. Engng.

View full text Add to dashboard Cite

SUMMARYInterlaminar stress plays an important role in the delamination failure of laminated composites. A recently presented theory, the Interlaminar Shear Stress Continuity Theory (ISSCT), can directly and accurately predict interlaminar shear stresses in laminated composites by the constitutive equations. The present study further generalizes the derivation to a complete form from which many displacement-based laminate theories can be derived. Most of all, both the single-layer and multiple-layer approaches are incorporated into the analysis in the thickness direction. The laminate is discretized into several sublaminates and, then, a layerwise theory is applied in the analysis of this reduced laminate. This reduction in the number of layers used in the analysis makes the calculation of interlaminar shear stresses on the interested interface in a thick laminate more efficient. In addition, numerical solutions in closed-form and finite element form for laminates under cylindrical bending and bidirectional bending are examined. It is found that in the thickness direction the cubic order of the interpolation function and the discretization with four to six sublaminates can reduce the computational efforts dramatically and retain the accuracy of the predicted stresses within f 8 per cent.

show abstract

Bending, vibration and buckling of simply supported thick multilayered orthotropic plates: An evaluation of a new displacement model

Cited by 353 publications

References 11 publications

First-Order Displacement-Based Zigzag Theories for Composite Laminates and Sandwich Structures: A Review

First-Order Displacement-Based Zigzag Theories for Composite Laminates and Sandwich Structures: A Review

Two-noded zigzag beam element accounting for shear effects based on an extended Euler Bernoulli theory

Interlaminar Shear Stress Analysis of Composite Laminate With Layer Reduction Technique

Contact Info

Product

Resources

About