References
- Lord H, Shulman Y. A generalized dynamical theory of thermoelasticity. J Mech Phys Solids. 1967;15:299–309. https://doi.org/https://doi.org/10.1016/0022-5096(67)90024-5.
- Mukhopadhyay S, Kumar R. Solution of a problem of generalized thermoelasticity of an annular cylinder with variable material properties by finite difference method. Comput Methods Sci Tech. 2009;15:169–176. https://doi.org/https://doi.org/10.12921/cmst.2009.15.02.169-176.
- Sherief H, Hussein E. Contour integration solution for a thermoelastic problem of a spherical cavity. Appl Math Comp. 2018;320:557–571. https://doi.org/https://doi.org/10.1016/j.amc.2017.10.024.
- Sherief H, Anwar M. Two-dimensional generalized thermoelasticity problem for an infinitely long cylinder. J Thermal Stresses. 1994;17:213–227. https://doi.org/https://doi.org/10.1080/01495739408946256.
- Sherief H, Abd El-Latief A. Application of fractional order theory of thermoelasticity to a 2D problem for a half-space. Appl Mat. Comput. 2014;248:584–592. https://doi.org/https://doi.org/10.1016/j.amc.2014.10.019.
- Sherief H, Abd El-Latief A. A one-dimensional fractional order thermoelastic problem for a spherical cavity. Math Mech Solids. 2015;20:512–521. https://doi.org/https://doi.org/10.1177/1081286513505585.
- Sherief H, Abd El-Latief A, Fayik M. 2D hereditary thermoelastic application of a thick plate under axisymmetric temperature distribution. Math Methods Appl Sci. 2022;45(2):1080–1092. https://doi.org/https://doi.org/10.1002/mma.7837
- Sherief H, El-Maghraby N, Allam A. Stochastic thermal shock problem in generalized thermoelasticity. Appl Math Modelling. 2013;37(3):762–775. https://doi.org/https://doi.org/10.1016/j.apm.2012.02.056.
- Mukhopadhyay S, Kumar R. A study of generalized thermoelastic interactions in an unbounded medium with a spherical cavity. Comput Math Appl. 2009;56(9):2329–2339. https://doi.org/https://doi.org/10.1016/j.camwa.2008.05.031.
- Elhagary M. Generalized thermoelastic diffusion problem for an infinitely long hollow cylinder for short times. Acta Mech. 2011;218(3–4):205–215. https://doi.org/https://doi.org/10.1007/s00707-010-0415-5.
- Lyu Q, Li J, Zhang N. Quasi-static and dynamical analyses of a thermoviscoelastic Timoshenko beam using the differential quadrature method. Appl Math Mech. 2019;40(4):549–562. https://doi.org/https://doi.org/10.1007/s10483-019-2470-8.
- Mehditabar A, Rahimi G, AnsariSadrabadi S. Three-dimensional magneto-thermo-elastic analysis of functionally graded cylindrical shell. Appl Math Mech. 2017;33(4):479–494. https://doi.org/https://doi.org/10.1007/s10483-017-2186-6.
- Abd El-Latief A, Abd-elhameid A. The memory time effects for unsteady seas and oceans water flow through the limestone porous medium in the presence of chemical reaction and Soret effects. ZAMM; 2022. https://doi.org/http://doi.org/10.1002/zamm.201900057
- Nath F, Chopra K. Thermal conductivity of copper films. Thin Solid Films. 1974;20(1):52–62. https://doi.org/https://doi.org/10.1016/0040-6090(74)90033-9.
- Sherief H, Abd El-Latief A. Modeling of variable Lamé’s moduli for a FGM generalized thermoelastic half space. Lat Am J Solids Struc. 2016;13(4):715–730. https://doi.org/https://doi.org/10.1590/1679-78252086.
- Sherief H, Abd El-Latief A. Effect of variable thermal conductivity on a half-space under the fractional order theory of thermoelasticity. Int J Mech Sci 2013;74:185–189. https://doi.org/https://doi.org/10.1016/j.ijmecsci.2013.05.016.
- Sherief H, Hamza F. Modeling of variable thermal conductivity in a generalized thermoelastic infinitely long hollow cylinder. Meccanica. 2016;51(3):551–558.
- Wang Y, Liu D, Wang Q, et al. Fractional order theory of thermoelasticity for elastic medium with variable material properties. J Thermal Stresses. 2015;38:665–676. https://doi.org/https://doi.org/10.1080/01495739.2015.1015840.
- Li C, Guo H, Tian X, et al. Transient response for a half-space with variable thermal conductivity and diffusivity under thermal and chemical shock. J Thermal Stresses. 2017;40(3):389–401. https://doi.org/https://doi.org/10.1080/01495739.2016.1218745.
- Wang Y, Liu D, Wang Q, et al. Effect of fractional order parameter on thermoelastic behaviors of elastic medium with variable properties. Acta Mech Solida Sin. 2015;28(6):682–692. https://doi.org/https://doi.org/10.1016/S0894-9166(16)30009-X.
- Wang Y, Liu D, Wang Q, et al. Thermoelastic response of thin plate with variable material properties under transient thermal shock. Int Mech Sci. 2015;104:200–206. https://doi.org/https://doi.org/10.1016/j.ijmecsci.2015.10.013.
- Hetnarski R. Thermal stresses. Amsterdam: North-Holland; 1996.
- Honig G, Hirdes U. A method for the numerical inversion of the Laplace transform. J Comput Appl Math. 1984;10(1):113–132. https://doi.org/https://doi.org/10.1016/0377-0427(84)90075-X.
- Sherief H, Hamza F. Generalized thermoelastic problem of a thick plate under axisymmetric temperature distribution. J Thermal Stresses. 1994;17(3):435–452. https://doi.org/https://doi.org/10.1080/01495739408946271.