Publicou 6 edições por ano
ISSN Imprimir: 1940-2503
ISSN On-line: 1940-2554
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MATHEMATICAL MODEL FOR THERMOELASTIC POROUS SPHERICAL REGION PROBLEMS
RESUMO
This study investigates the thermal stresses and temperatures during a porous spherical region hydrous with liquid. The general solution is obtained within the Laplace transform domain. The resulting formulation is used to resolve two issues for a solid sphere and a thick spherical shell. The impact of time on a solid sphere and the impact of porosity on a thick spherical shell are analyzed through graphs. A comparison is formed with a solid sphere with identical configuration within absence of the fluid. It was found that the existence of fluid decreased the temperature and displacement, whereas the opposite behavior is observed for stress.
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Hussein, E., Effect of the Porosity on a Porous Plate Saturated with a Liquid and Subjected to a Sudden Change in Temperatures, Acta Mech., vol. 229, pp. 2431-2444,2018.
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Hussein, E., Problem in Poroelastic Media for an Infinitely Long Solid Circular Cylinder with Thermal Relaxation, Transp. Porous Media, vol. 106, pp. 145-161,2015.
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Mittal, G. and Kulkarni, S., Two Temperature Fractional Order Thermoelasticity Theory in a Spherical Domain, J. Therm. Stresses, vol. 42, pp. 1136-1152,2019.
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Raslan, E., Application of Fractional Order Theory of Thermoelasticity to a 1D Problem for a Spherical Shell, J. Theoretical and Appl. Mech, vol. 54, pp. 295-304,2016.
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Sherief, H. and Hussein, E., A Mathematical Model for Short-Time Filtration in Poroelastic Media with Thermal Relaxation and Two Temperatures, Transp. Porous Media, vol. 91, pp. 199-223,2012.
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Sherief, H. and Hussein, E., Contour Integration Solution for a Thermoelastic Problem of a Spherical Cavity, Appl. Math. Comput., vol. 320, pp. 557-571,2018.
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Sherief, H. and Hussein, E., Fundamental Solution of Thermoelasticity with Two Relaxation Times for an Infinite Spherically Symmetric Space, Z. Angew. Math. Phys, vol. 68, pp. 1-14,2017.
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Sherief, H. and Hussein, E., The Effect of Fractional Thermoelasticity on Two-Dimensional Problems in Spherical Regions under Axisymmetric Distributions, J. Therm. Stresses, vol. 43, pp. 440-455,2020.
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Tajuddin, M. and Shah, S., Longitudinal Shear Vibrations of Composite Poroelastic Cylinders, Int. J. Eng. Sci. and Tech., vol. 3, pp. 22-33,2011.
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Tajuddin, M., Nageswara, N., and Manoj, J., Axial-Shear Vibrations of an Infinitely Long Poroelastic Composite Circular Cylinder, Special Topics and Rev. in Porous Media, An Int. J, vol. 2, pp. 133-143,2011.
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Xiong, X., Xiao, R., and Tian, O., Effect of Initial Stress on a Fiber-Reinforced Thermoelastic Porous Media without Energy Dissipation, Transp. Porous Media, vol. 111, pp. 81-95,2016.
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Saeed Tareq, A. Abbas Ibrahim, The Effect of Fractional Time Derivative on Two-Dimension Porous Materials Due to Pulse Heat Flux, Mathematics, 9, 3, 2021. Crossref
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Sherief Hany H., Hussein Eman M., New fractional order model of thermoporoelastic theory for a porous infinitely long cylinder saturated with fluid, Waves in Random and Complex Media, 2021. Crossref
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Hussein Eman M., New Fractional Order Model of Thermoporoelastic Theory for a Half Space Saturated with Fluid, Mechanics of Solids, 56, 5, 2021. Crossref
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Hussein Eman M., New fractional model for 2 dimensional half space problem with in the theory of generalized thermoelastic diffusion, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 102, 1, 2022. Crossref
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Hussein Eman M., New Fractional Application on A homogenous Isotropic Thermo-Poroelastic Half-Space, Mechanics of Solids, 57, 4, 2022. Crossref
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Fu Yu, Li Li, Hu Yujin, Efficient Design of Thermoelastic Structures Using a Krylov Subspace Preconditioner and Parallel Sensitivity Computation, Applied Sciences, 12, 18, 2022. Crossref