Multilayered shell model with variable representation of displacements across the thickness

Icardi, Ugo; Ferrero, Laura

doi:10.1016/j.compositesb.2010.09.022

Cited by 18 publications

(22 citation statements)

References 41 publications

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“…are unnecessary for capturing the through-thethickness variation of stresses in thick laminates and sandwiches, as shown in Refs. [38,39] and also by the present numerical results.…”

Section: Introductionmentioning

confidence: 72%

“…As SBB fails to be accurate using a reasonable number of computational layers when the properties abruptly change [36], Icardi and Ferrero developed a ZZ model with a hierarchical representation of the displacements across the thickness, either in mixed [37] and displacement-based [38] version, that does not need postprocessing or staking of computational layers. These models, which are constructed incorporating hierarchic high-order terms into the ZZ model [39], have a fixed number of functional d.o.f., since the coefficients of these terms are determined enforcing equilibrium conditions at intermediate points across the thickness.…”

Section: Introductionmentioning

confidence: 99%

“…In the mixed version [37], the d.o.f. are the displacement components and the interlaminar stresses at the upper and lower faces of the computational layers, while in the displacement-based version [38], they are the mid-plane displacements and the shear rotations as in ESL and ZZ classical plate models.…”

Section: Introductionmentioning

confidence: 99%

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Multilayered Plate Model with “Adaptive” Representation of Displacements and Temperature Across the Thickness and Fixed D.O.F.

Icardi

2011

Journal of Thermal Stresses

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A new multilayered zig-zag plate model for analysis of thermo-elastic problems is developed. It a priori fulfils the boundary conditions and the stress contact conditions on interlaminar shear and normal stresses and the continuity of the heat flux and temperature at the layer interfaces, as prescribed by the elasticity theory and heat conduction equation. The functional d.o.f. are the mid-plane displacements and shear rotations, like for classical plate models, and the temperature at the upper and lower bounding faces. A non-classical feature, a high-order piecewise variation of the transverse displacement is assumed across the thickness aimed at accurately describing the transverse normal stress, as it has a significant bearing for keeping equilibrium in thermo-elastic problems. Also non classical feature, the representation of displacements and temperature can be different from point to point across the thickness, to adapt to the variation of solutions. This refinement is obtained by keeping the number of functional d.o.f. unchanged, since the coefficients of the hierarchic contributions are determined enforcing the fulfillment of the equilibrium and heat conduction equation at selected points across the thickness. As shown by the comparison with exact solutions of benchmark test cases, the present model accurately predicts displacement, stress and temperature variations across the thickness from constitutive equations, even when thickness is extreme and the thermo-elastic properties of layers are distinctly different. Its basic advantage over existing models is a lower computational effort under the same accuracy.

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“…are unnecessary for capturing the through-thethickness variation of stresses in thick laminates and sandwiches, as shown in Refs. [38,39] and also by the present numerical results.…”

Section: Introductionmentioning

confidence: 72%

Section: Introductionmentioning

confidence: 99%

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Multilayered Plate Model with “Adaptive” Representation of Displacements and Temperature Across the Thickness and Fixed D.O.F.

Icardi

2011

Journal of Thermal Stresses

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“…(18), the equation of the sliding-sliding laminated orthotropic truncated conical shells resting on the Pasternak type elastic foundation are obtained. Here Q i and h j are given below:…”

Section: Solution Of the Eigenvalue Problemmentioning

confidence: 99%

“…Therefore the study of the vibrations of laminated composite conical shells assumes importance. The corresponding researches for the vibration of laminated composite conical shells without an elastic foundation were reviewed by [1,2] and some recent work on the laminated composite conical shells without an elastic foundation was done by [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Furthermore, recently, the comprehensive monograph on the laminated plates and shells is published by Reddy [19].…”

Section: Introductionmentioning

confidence: 99%

Natural frequency of laminated orthotropic shells with different boundary conditions and resting on the Pasternak type elastic foundation

Sofiyev

Kuruoğlu

2011

Composites Part B: Engineering

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Multiresolution strategies for the modeling of composite shell structures based on the variable separation method

Vidal

Gallimard

Polit

2018

Numerical Meth Engineering

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Summary We are interested in the layer‐wise modeling of composite cylindrical shell structures based on a variable separation method. The present study is focused on the use of a multiresolution strategy to decrease the computational cost of numerous analyses where some parameters can change. For this purpose, the displacement field is approximated as a sum of separated functions of the in‐plane coordinates and the transverse coordinate. Thus, an iterative process that consists of solving a two‐dimensional (2D) and a one‐dimensional problem successively at each iteration is required. In the thickness direction, a fourth‐order expansion in each layer is considered. For the in‐plane description, a classical finite element method is used. In our framework of a multiresolution process, once a first computation is achieved, the previously built 2D functions can be used. Thus, the following problems to be solved can be limited to a one‐dimensional problem. If needed, only few 2D functions might be built. The approach is assessed through mechanical tests on L‐angle specimens by comparing with a quasi–three‐dimensional layer‐wise approach. It is illustrated by varying the geometry and the stacking sequences of the shell.

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Multilayered shell model with variable representation of displacements across the thickness

Cited by 18 publications

References 41 publications

Multilayered Plate Model with “Adaptive” Representation of Displacements and Temperature Across the Thickness and Fixed D.O.F.

Multilayered Plate Model with “Adaptive” Representation of Displacements and Temperature Across the Thickness and Fixed D.O.F.

Natural frequency of laminated orthotropic shells with different boundary conditions and resting on the Pasternak type elastic foundation

Multiresolution strategies for the modeling of composite shell structures based on the variable separation method

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