Assessment of the effect of the materials composition on the bending response of FG plates lying on two models of elastic foundations in thermo-hygro-mechanical environments

Ali Rachedi, Mohamed; Bouhadra, Abdelhakim; Mamen, Belgacem; Benyoucef, Samir; Tounsi, Abdelouahed; Ghazwani, M. H.

doi:10.1007/s00707-023-03696-y

Acta Mech

2023

DOI: 10.1007/s00707-023-03696-y

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Assessment of the effect of the materials composition on the bending response of FG plates lying on two models of elastic foundations in thermo-hygro-mechanical environments

Mohamed Ali Rachedi,

Abdelhakim Bouhadra,

Belgacem Mamen

et al.

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2024

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Cited by 2 publications

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Dynamic Analysis of 2D FG Porous Thick Cylindrical Shells Under Thermal Shock

Liu,

2024

Int. J. Str. Stab. Dyn.

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In this research, a thick hollow cylindrical shell made of bidirectional functionally graded open cell porous materials under internal thermal shock according to the classical theory of linear thermo-elasticity is examined for the first time. The cylinder is made of a porous cellular material and its porosity varies along both radial and axial directions continuously. The governing motion equations are obtained by using 2D-axisymmetric theory of linear thermo-elasticity rather than shell theories. This theory represents thickness stretching and gives more precise results. Graded finite element method is employed to model the problem. Applying this method rather than conventional FEM leads to more accurate results, especially for dynamic analyses. The cubic higher order element is used for dividing the solution domain. To obtain transient temperatures, Crank–Nicolson algorithm is used and then the Newmark procedure is used to derive time responses of displacement and stress components. The time history of displacements and stress components for different radial and axial power law exponents, porosity coefficient, boundary conditions, length-to-thickness ratio and two different porosity patterns are investigated in detail. The obtained results show that thermal-induced vibration is generally caused by hoop stress, and frequency and amplitude of vibrations and velocity of stress waves are considerably influenced by the porosity distribution, porosity coefficient and power law exponents in both directions.

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Dynamic Analysis of 2D FG Porous Thick Cylindrical Shells Under Thermal Shock

Liu,

2024

Int. J. Str. Stab. Dyn.

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Levy solution and state-space approach for hygro-thermo-magnetic bending of a cross-ply laminated plate on Kerr foundation under various loadings

Sobhy,

Radwan

2024

Journal of Composite Materials

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For the first time, Levy-type solution model and the state-space concept are employed to investigate the hygrothermal bending response of a cross-ply laminated plate on a three-parameter Kerr foundation subjected to a 2D magnetic field. The displacement field is established based on Shimpi’s two-variable plate theory. Based on Maxwell’s equations, the magnetic body force (Lorentz force) is established. In the present analysis, two opposite edges of the plate are simply supported. While, the other two edges have arbitrary boundary conditions. For more generality and reality, the mechanical load, temperature and moisture that are applied to the upper surface of the plate are assumed to be uniformly, linearly, exponentially, and sinusoidally varied. The principle of virtual displacements is employed to derive the governing partial differential equations based on the present theory, including Lorentz magnetic force. Levy procedure is employed to obtain the nonhomogeneous ordinary differential equations. The matrix method is utilized to get the homogeneous solution. While, the particular solution is obtained by employing the method of undetermined coefficients. The effects of Kerr foundation, loading type, boundary conditions, side-to-thickness ratio, plate aspect ratio, magnetic parameter, temperature, and moisture on deflection and stresses of Levy plate are investigated. It is noted that the magnetic field and hygrothermal loads reduce the structure’s strength, which leads to an increment in the deflection and stresses.

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Assessment of the effect of the materials composition on the bending response of FG plates lying on two models of elastic foundations in thermo-hygro-mechanical environments

Cited by 2 publications

References 55 publications

Dynamic Analysis of 2D FG Porous Thick Cylindrical Shells Under Thermal Shock

Dynamic Analysis of 2D FG Porous Thick Cylindrical Shells Under Thermal Shock

Levy solution and state-space approach for hygro-thermo-magnetic bending of a cross-ply laminated plate on Kerr foundation under various loadings

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