Generalization of Mindlin's Kinematical Plate Theory for Anisotropic Materials

El-Soaly, E. E.

doi:10.1016/b978-1-4832-8372-2.50039-7

Cited by 2 publications

(2 citation statements)

References 6 publications

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“…We apply variational analysis, based on Reissner's theory, on the assumed stress field (2) and (5). This leads to the following constitutive relations [3], which are organized to suit the orthotropic laminate: For orthotropic laminate, the laminate stiffness may be considered as the linear average of the ply stiffness as follow…”

Section: σ Variational Principle For Laminatesmentioning

confidence: 99%

Simplified Variational Approach for Analysis of Thick Orthotropic Laminated Plates: 1- Cylindrical Bending

Tmerek

El-Soaaly

Elnomrossy

et al. 2007

International Conference on Aerospace Sciences and Aviation Tec

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Reissner's, stress-based, shear deformation plate theory is chosen to approximate the stress field for balanced symmetric laminates. The longitudinal stresses are assumed to vary linearly along the plate thickness. In fact, we may view the purpose of this work as an examination of effectiveness of mathematical laminate models in which the response is defined in terms of force and moment resultants. Average stiffness moduli are considered to characterize the laminate properties. The accuracy and the range of application of the present approach are proved for laminated plate:1-in cylindrical bending and 2-simplly-supported with different thickness, for which elasticity solutions exist. The paper presents the first step of validation of the developed theory. The cylindrical bending of symmetric cross-ply laminated plates subjected to sinusoidal loading is investigated. Results from the present theory are compared with those from exact solutions and other known theories as well.

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Section: σ Variational Principle For Laminatesmentioning

confidence: 99%

Simplified Variational Approach for Analysis of Thick Orthotropic Laminated Plates: 1- Cylindrical Bending

Tmerek

El-Soaaly

Elnomrossy

et al. 2007

International Conference on Aerospace Sciences and Aviation Tec

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“…Due to rotational symmetry of disc problems, tr strain-displacement relationships reduce to , du y re = 0 r dr 6 r • (2) and the equilibrium equation, for the stationary case, can be written as…”

Section: Theoretical Analysismentioning

confidence: 99%

Effect of Pressure Difference on Stationary and Rotating Anisotropic Discs

Soaly

Sebai

1985

International Conference on Aerospace Sciences and Aviation Tec

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The stress analysis of pressurized and rotating isotropic discs is a classical problem which can be found in literature. In a recent paper, Kookson and Sathianathan indicated that the effect of anistropy, on the stress distribution within a rotating disc, is considerable. In our proposed work, the effect of pressure on stationary and steady rotating discSis studied. The stress distribution in stationary discs, under inner and outer pressures, is analyzed for different values of anisotropic constant X= A7E7 1 where Ee and Er are the material elastic moduli in tangential and radial directions respectively. The effect of variable parameters, radius ratio, anisotropic constant X , pressure difference, is determined for the case of orthotropic steady rotating annular discs. Our results indicate that the effect of anisotropy, on the stress distribution within a disc, is considerable.

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Generalization of Mindlin's Kinematical Plate Theory for Anisotropic Materials

Cited by 2 publications

References 6 publications

Simplified Variational Approach for Analysis of Thick Orthotropic Laminated Plates: 1- Cylindrical Bending

Simplified Variational Approach for Analysis of Thick Orthotropic Laminated Plates: 1- Cylindrical Bending

Effect of Pressure Difference on Stationary and Rotating Anisotropic Discs

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