An improved higher order zigzag theory for the static analysis of laminated sandwich plate with soft core

Pandit, Mihir Kumar; Sheikh, Abdul Hamid; Singh, B.N.

doi:10.1016/j.finel.2008.02.001

Cited by 125 publications

(68 citation statements)

References 29 publications

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“…Nevertheless, the number of displacement variables in LW models depends on the number of constitutive layers, though the number of displacement fields can be reduced by also enforcing the continuity of transverse stresses at laminar interfaces [8][9][10][11][12][13][14]. These methods are typically labelled as zigzag theories.…”

Section: Wise (Lw) Description and Equivalent Single Layer (Esl) Descmentioning

confidence: 99%

Large displacement analysis of sandwich plates and shells with symmetric/asymmetric lamination

Liang

Izzuddin

2016

Computers & Structures

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This paper proposes a kinematic model for sandwich plates and shells, utilising a novel zigzag function that is effective for symmetric and asymmetric cross-sections, and employing a piecewise through-thickness distribution of the transverse shear strain. The proposed model is extended to large displacement analysis using a co-rotational framework, where a 2D local shell system is proposed for the direct coupling of additional zigzag parameters. A 9-noded co-rotational shell element is developed based on the proposed approach, which utilises the MITC method for overcoming locking effects. Several linear/nonlinear analysis examples of sandwich structures demonstrate the effectiveness of the proposed approach.

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Section: Wise (Lw) Description and Equivalent Single Layer (Esl) Descmentioning

confidence: 99%

Large displacement analysis of sandwich plates and shells with symmetric/asymmetric lamination

Liang

Izzuddin

2016

Computers & Structures

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“…Mechanical properties of the core and the face sheets are given in Table 1. The face sheet to panel thickness ratio was 0.1 and the core to panel thickness ratio was 0.8 (Pandit et al, 2008). The top face sheet of the sandwich panel was subjected to the harmonic load (Pandit et al, 2008) in Table 2.…”

Section: Static Bending Analysis Of Flat Composite Sandwich Panel Witmentioning

confidence: 99%

“…The face sheet to panel thickness ratio was 0.1 and the core to panel thickness ratio was 0.8 (Pandit et al, 2008). The top face sheet of the sandwich panel was subjected to the harmonic load (Pandit et al, 2008) in Table 2. As can be seen in Table 2, there was quite good agreement between the results and there was a little difference between them.…”

Section: Static Bending Analysis Of Flat Composite Sandwich Panel Witmentioning

confidence: 99%

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Improved high-order bending analysis of double curved sandwich panels subjected to multiple loading conditions

Fard

Livani

Veisi

et al. 2014

Lat. Am. j. solids struct.

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For the first time, the bending analysis of a double curved sandwich panel was presented which was subjected to point load, uniform distributed load on a patch, and harmonic distributed loads and was based on a new improved higher order sandwich panel theory. Since the cross-sectional warping was accurately modeled by this theory, it did not require any shear correction factor. Also, the present analysis incorporated trapezoidal shape factor (the 1+z/R terms) of a curved panel element. Geometry was used for the consideration of different radii curvatures of the face sheets, while the core was unique. Unlike most of other reference works, the core can have non-uniform thickness. The governing equations were derived by the principle of minimum potential energy. The effects of types of boundary conditions, types of applied loads, core to panel, and radii curvatures ratios on the bending response were also studied.

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“…It is evident that accuracy of these theories may encounter problems when number of the layers increases or when the material properties experience severe changes in the transverse direction. In such cases, using the layerwise or zigzag theories is more appropriate (Pandit et al, 2008;Fares and Elmarghany, 2008;Shariyat, 2010;Shariyat, 2012a). For the both general categories of the plates, i.e., the equivalent single-layer and zigzag first-order theories, the first-order shear-deformation theories (FSDT) are computationally more economic and relatively simpler.…”

Section: Introductionmentioning

confidence: 99%

Novel Layerwise Shear Correction Factors for Zigzag Theories of Circular Sandwich Plates with Functionally Graded Layers

Shariyat

2015

Lat. Am. j. solids struct.

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The available shear correction factors have mainly been proposed for single-layer rectangular plates with zero shear tractions and isotropic homogenous materials. The present analytical shear factors are especially suitable for the first-order zigzag or layerwise theories of circular sandwich plates with functionally graded cores/face sheets and simultaneous normal and shear tractions. Although the present layerwise correction factors are general, they are evaluated for the modal analyses where effects of the shear correction are more remarkable than those of the stress analyses. It is the first time that the concept of the local shear correction factor is introduced. To present more accurate results, the MoriTanaka micromechanical-based material properties model is used instead of the traditional rule of mixtures. The governing equations are solved using the analytical Taylor transform method. Comparisons made among results associated with the known shear correction factors, present results, and results of the threedimensional theory of elasticity reveal that significant enhancements may occur through using the proposed analytical shear correction factors.

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An improved higher order zigzag theory for the static analysis of laminated sandwich plate with soft core

Cited by 125 publications

References 29 publications

Large displacement analysis of sandwich plates and shells with symmetric/asymmetric lamination

Large displacement analysis of sandwich plates and shells with symmetric/asymmetric lamination

Improved high-order bending analysis of double curved sandwich panels subjected to multiple loading conditions

Novel Layerwise Shear Correction Factors for Zigzag Theories of Circular Sandwich Plates with Functionally Graded Layers

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