Bending of sandwich plates with anti-symmetric angle-ply face sheets – Analytical evaluation of higher order refined computational models

In the present work two higher order computational models with 9 and 12 DOF already available in the literature for which analytical formulations and solutions for the stress analysis not yet reported are considered. In addition to these models, few higher order models and the first order model developed by other investigators are also considered for the evaluation. A simply supported plate subjected to sinusoidal transverse load with SS-2 boundary conditions is considered for the analysis. Solutions are obtained using Navier's technique. Transverse stresses are computed by post processing technique and the accuracy of models in predicting the stresses is evaluated.

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Computational Models for Multilayered Composite Shells with Application to Tires

Tire Science and Technology ◽

10.2346/1.2137509 ◽

1996 ◽

Vol 24 (1) ◽

pp. 11-38 ◽

Cited By ~ 10

Author(s):

G. M. Kulikov

Keyword(s):

Type Theory ◽

Computational Models ◽

Geometrical Nonlinearity ◽

Higher Order ◽

Stress Strain ◽

Strain Fields ◽

First Order ◽

Timoshenko Type ◽

Joint Influence ◽

Discrete Layer

Abstract This paper focuses on four tire computational models based on two-dimensional shear deformation theories, namely, the first-order Timoshenko-type theory, the higher-order Timoshenko-type theory, the first-order discrete-layer theory, and the higher-order discrete-layer theory. The joint influence of anisotropy, geometrical nonlinearity, and laminated material response on the tire stress-strain fields is examined. The comparative analysis of stresses and strains of the cord-rubber tire on the basis of these four shell computational models is given. Results show that neglecting the effect of anisotropy leads to an incorrect description of the stress-strain fields even in bias-ply tires.

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Higher-order finite element for sandwich plates

AIAA Journal ◽

10.2514/3.14442 ◽

2000 ◽

Vol 38 ◽

pp. 525-533

Author(s):

S. Oskooei ◽

J. S. Hansen

Keyword(s):

Finite Element ◽

Higher Order ◽

Sandwich Plates

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A C0 three-node triangular element based on preprocessing approach for thick sandwich plates

Journal of Sandwich Structures & Materials ◽

10.1177/1099636217729731 ◽

2017 ◽

Vol 21 (6) ◽

pp. 1820-1842

Author(s):

Wu Zhen ◽

Ma Rui ◽

Chen Wanji

Keyword(s):

Transverse Shear ◽

Equilibrium Equation ◽

Three Dimensional ◽

Higher Order ◽

Triangular Element ◽

Shear Stresses ◽

Sandwich Plates ◽

Transverse Shear Stress ◽

Transverse Shear Stresses ◽

Derivatives Of

This paper will try to overcome two difficulties encountered by the C0 three-node triangular element based on the displacement-based higher-order models. They are (i) transverse shear stresses computed from constitutive equations vanish at the clamped edges, and (ii) it is difficult to accurately produce the transverse shear stresses even using the integration of the three-dimensional equilibrium equation. Invalidation of the equilibrium equation approach ought to attribute to the higher-order derivations of displacement parameters involved in transverse shear stress components after integrating three-dimensional equilibrium equation. Thus, the higher-order derivatives of displacement parameters will be taken out from transverse shear stress field by using the three-field Hu–Washizu variational principle before the finite element procedure is implemented. Therefore, such method is named as the preprocessing method for transverse shear stresses in present work. Because the higher-order derivatives of displacement parameters have been eliminated, a C0 three-node triangular element based on the higher-order zig-zag theory can be presented by using the linear interpolation function. Performance of the proposed element is numerically evaluated by analyzing multilayered sandwich plates with different loading conditions, lamination sequences, material constants and boundary conditions, and it can be found that the present model works well in the finite element framework.

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Stochastic buckling analysis of sandwich plates: The importance of higher order modes

International Journal of Mechanical Sciences ◽

10.1016/j.ijmecsci.2018.12.016 ◽

2019 ◽

Vol 152 ◽

pp. 630-643 ◽

Cited By ~ 23

Author(s):

R.R. Kumar ◽

T. Mukhopadhyay ◽

K.M. Pandey ◽

S. Dey

Keyword(s):

Higher Order ◽

Buckling Analysis ◽

Sandwich Plates ◽

Higher Order Modes

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New Higher-Order Models for Sandwich Plates with a Flexible Core and their Accuracy Assessment

International Journal of Structural Stability and Dynamics ◽

10.1142/s021945541950024x ◽

2019 ◽

Vol 19 (03) ◽

pp. 1950024 ◽

Cited By ~ 2

Author(s):

Ali Tian ◽

Renchuan Ye ◽

Peng Ren ◽

Pengming Jiang ◽

Zengtao Chen ◽

...

Keyword(s):

Dynamic Models ◽

Accuracy Assessment ◽

Order Theory ◽

Higher Order ◽

Analytical Models ◽

Core Material ◽

Sandwich Plates ◽

Higher Order Theory ◽

Flexible Core

Two higher-order analytical models based on a new higher-order theory for sandwich plates with flexible cores are developed considering the effect of the core material density and skin-to-core-stiffness-ratio (SCSR). The main difference between the two models is the role of the flexible core in the dynamic response of sandwich plates with cores of different stiffnesses. Firstly, the governing equations of a simply supported sandwich plate with a flexible core are derived based on the two models, and the analytical solutions are determined by using Navier’s approach. Then, the free vibration, static, dynamic bending and stress field characteristics of the sandwich plates with different SCSRs are investigated. The results obtained by the proposed method are compared with other published results. In particular, an accuracy assessment of the present dynamic models is conducted for different SCSRs. Finally, conclusions on the applicability of the proposed method and other theories on sandwich plates with different SCSRs are drawn.

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Processing Information in the Clouds

Proceedings ◽

10.3390/proceedings2020047025 ◽

2020 ◽

Vol 47 (1) ◽

pp. 25

Author(s):

Mark Burgin ◽

Eugene Eberbach ◽

Rao Mikkilineni

Keyword(s):

Artificial Intelligence ◽

Cloud Computing ◽

Human Brain ◽

Incremental Learning ◽

Computational Models ◽

Higher Order ◽

Turing Machines ◽

New Paradigm ◽

New Model ◽

Processing Information

Cloud computing makes the necessary resources available to the appropriate computation to improve scaling, resiliency, and the efficiency of computations. This makes cloud computing a new paradigm for computation by upgrading its artificial intelligence (AI) to a higher order. To explore cloud computing using theoretical tools, we use cloud automata as a new model for computation. Higher-level AI requires infusing features of the human brain into AI systems such as incremental learning all the time. Consequently, we propose computational models that exhibit incremental learning without stopping (sentience). These features are inherent in reflexive Turing machines, inductive Turing machines, and limit Turing machines.

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