On Rayleigh Waves in a Homogeneous Orthotropic Electromagnetic Gravitational Half-Space Material with Rotation and Initial Stress Under Four Thermo-Elastic Models

Allam, M. N. M.; Rida, S. Z.; Mohamed, R. A.; Abo‐Dahab, S. M.; Kilany, A. A.

doi:10.1166/jctn.2014.3397

Cited by 11 publications

(3 citation statements)

References 11 publications

(13 reference statements)

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“…Chekhov and Zakora [9] have investigated transversely isotropic spherical shell with two circular rigid inclusions. Allam et al [10] investigated the effect of rotation with a uniform angular velocity, initial stress and gravity on Rayleigh waves in electro-magneto-elastic homogeneous orthotropic material half-space under Classical and Dynamical coupled model, Lord-Shulman model, Green-Lindsay model and Green-Naghdi model of generalized thermo elasticity. Marthelot et al [11] studied buckling of hemispherical elastic shells subjected to the combined effect of pressure loading and a probing force.…”

Section: Materials Usedmentioning

confidence: 99%

“…Allam et al. [10] investigated the effect of rotation with a uniform angular velocity, initial stress and gravity on Rayleigh waves in electro‐magneto‐elastic homogeneous orthotropic material half‐space under Classical and Dynamical coupled model, Lord‐Shulman model, Green‐Lindsay model and Green‐Naghdi model of generalized thermo elasticity. Marthelot et al.…”

Section: Introductionmentioning

confidence: 99%

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Thermal stress analysis in a hemispherical shell made of transversely isotropic materials under pressure and thermo‐mechanical loads

et al. 2021

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This article deals with the study of thermal stress in a hemispherical shell made of transversely isotropic material under the effect of thermal, pressure and mechanical load. Seth's transition theory and generalized strain measure are used for finding the governing equation. Mathematical modelling is based on stress–strain relation and equilibrium equation. Analytical solutions are presented for the hemispherical shell made of transversely isotropic material and isotropic material. The effects of different pertinent parameters (i.e., temperature, pressure and load) are considered for the spherical shell made of transversely isotropic material. The behaviour of stress distribution, mechanical load, pressure rise, and temperature distribution are investigated. From the obtained results, it is noticed that carbon fiber material hemispherical shell requires higher pressure at the internal surface in comparison to magnesium/polypropylene material. With the introduction of mechanical load, the value of pressure decreases at the internal surface, but reverse results are obtained in the case of thermal condition for the hemispherical shell made of carbon fiber/magnesium/polypropylene material. By applying thermal condition, the hemispherical shell made of carbon fiber material requires maximum hoop stress at the external surface as compared to the magnesium/polypropylene material. The transversely isotropic material hemispherical shell more convenient than that of isotropic material hemispherical shell. Results have been discussed numerically and graphically.

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Section: Materials Usedmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermal stress analysis in a hemispherical shell made of transversely isotropic materials under pressure and thermo‐mechanical loads

et al. 2021

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“…Abd-Alla et al 38 investigated effect of the rotation on Stonely waves in a non-homogeneous orthotropic elastic medium under the influence of gravity field. Allam et al 39 investigated Rayleigh waves in a homogeneous orthotropic electromagnetic gravitational half-space material with rotation and initial stress under four thermo-elastic models.…”

Section: Introductionmentioning

confidence: 99%

Green Lindsay Model on Propagation of Surface Waves in Magneto-Thermoelastic Materials with Voids and Initial Stress

Abo‐Dahab¹

2014

jnl of comp & theo nano

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In this paper, the surface waves propagation in a generalized magneto-thermoelastic materials taking (Green Lindsay) model with voids and initial stress is investigated. The basic governing equations have been formulated in xz-plane and the magnetic field is considered in y -axis that acts perpendicular to the wave propagation. Lame's potential method is applied to solve the problem. The boundary conditions that the continuity of forces stresses and Maxwell's stresses components, displacement components, heat flux, temperature and volume fraction field are estimated at the interfaces between two dissimilar half-space to obtain the frequency equation of the surface waves in the medium. Some special cases with neglecting: (i) the magnetic field and initial stress, (ii) the magnetic field, initial stress and voids parameters, and (iii) the magnetic field, initial stress and thermal parameters are deduced as special cases from this study.

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Magneto-thermoelastic surface waves phenomenon with voids, gravity, initial stress, and rotation under four theories

Abo-Dahab,

Bayones,

Alharbi

et al. 2024

Alexandria Engineering Journal

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On Rayleigh Waves in a Homogeneous Orthotropic Electromagnetic Gravitational Half-Space Material with Rotation and Initial Stress Under Four Thermo-Elastic Models

Cited by 11 publications

References 11 publications

Thermal stress analysis in a hemispherical shell made of transversely isotropic materials under pressure and thermo‐mechanical loads

Thermal stress analysis in a hemispherical shell made of transversely isotropic materials under pressure and thermo‐mechanical loads

Green Lindsay Model on Propagation of Surface Waves in Magneto-Thermoelastic Materials with Voids and Initial Stress

Magneto-thermoelastic surface waves phenomenon with voids, gravity, initial stress, and rotation under four theories

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