과제정보
This project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, under grant no. (G: 118-130-1441). The authors, therefore, acknowledge with thanks DSR for technical and financial support.
참고문헌
- Abbas, I.A. (2011), "A two-dimensional problem for a fibre-reinforced anisotropic thermoelastic half-space with energy dissipation", Sadhana-Acad. Proc. Eng. Sci., 36(3), 411-423. https://doi.org/10.1007/s12046-011-0025-5.
- Abbas, I.A. (2013), "A GN model for thermoelastic interaction in an unbounded fiber-reinforced anisotropic medium with a circular hole", Appl. Math. Lett., 26(2), 232-239. https://doi.org/10.1016/j.aml.2012.09.001.
- Abbas, I.A. (2014), "The effects of relaxation times and a moving heat source on a two-temperature generalized thermoelastic thin slim strip", Can. J. Phys., 93(5), 585-590. http://dx.doi.org/10.1139/cjp-2014-0387.
- Abbas, I.A. (2014), "Nonlinear transient thermal stress analysis of thick-walled FGM cylinder with temperature-dependent material properties", Meccanica, 49(7), 1697-1708. https://doi.org/10.1007/s11012-014-9948-3.
- Abbas, I.A. (2015), "Eigenvalue approach to fractional order generalized magneto-thermoelastic medium subjected to moving heat source", J. Magnet. Magnetic Mater., 377, 452-459. https://doi.org/10.1016/j.jmmm.2014.10.159.
- Abbas, I.A. and Alzahrani, F.S. (2016), "Analytical solution of a two-dimensional thermoelastic problem subjected to laser pulse", Steel Compos. Struct., 21(4), 791-803. https://doi.org/10.12989/scs.2016.21.4.791.
- Abbas, I.A., El-Amin, M. and Salama, A. (2009), "Effect of thermal dispersion on free convection in a fluid saturated porous medium", Int. J. Heat Fluid Flow, 30(2), 229-236. https://doi.org/10.1016/j.ijheatfluidflow.2009.01.004.
- Abbas, I.A. and Kumar, R. (2014), "Deformation due to thermal source in micropolar generalized thermoelastic half-space by finite element method", J. Comput. Theor. Nanosci., 11(1), 185-190. https://doi.org/10.1166/jctn.2014.3335.
- Abbas, I.A. and Kumar, R. (2016), "2D deformation in initially stressed thermoelastic half-space with voids", Steel Compos. Struct., 20(5), 1103-1117. https://doi.org/10.12989/scs.2016.20.5.1103.
- Abbas, I.A. and Marin, M. (2017), "Analytical solution of thermoelastic interaction in a half-space by pulsed laser heating", Physica E: Low Dimens. Syst. Nanostruct., 87, 254-260. https://doi.org/10.1016/j.physe.2016.10.048.
- Abbas, I.A. and Zenkour, A.M. (2014), "The effect of rotation and initial stress on thermal shock problem for a fiber-reinforced anisotropic half-space using Green-Naghdi theory", J. Comput. Theor. Nanos., 11(2), 331-338. https://doi.org/doi/10.1166/jctn.2014.3356.
- Abouelregal, A.E. and Zenkour, A.M. (2013), "The effect of fractional thermoelasticity on a two-dimensional problem of a mode i crack in a rotating fiber-reinforced thermoelastic medium", Chin. Phys. B, 22(10), 108102. https://doi.org/10.1088/1674-1056/22/10/108102.
- Alzahrani, F.S. and Abbas, I.A. (2016), "The effect of magnetic field on a thermoelastic fiber-reinforced material under GN-III theory", Steel Compos. Struct., 22(2), 369-386. http://dx.doi.org/10.12989/scs.2016.22.2.369.
- Arefi, M. and Zenkour, A.M. (2017), "Nonlinear and linear thermo-elastic analyses of a functionally graded spherical shell using the Lagrange strain tensor", Smart Struct. Syst., 19(1), 33-38. http://doi.org/10.12989/sss.2017.19.1.033.
- Belfield, A., Rogers, T. and Spencer, A. (1983), "Stress in elastic plates reinforced by fibres lying in concentric circles", J. Mech. Phys. Solid., 31(1), 25-54. https://doi.org/10.1016/0022-5096(83)90018-2.
- Bhatti, M.M., Marin, M., Zeeshan, A., Ellahi, R. and Abdelsalam, S.I. (2020), "Swimming of Motile Gyrotactic Microorganisms and nanoparticles in blood flow through anisotropically tapered arteries", Front. Phys., 8, 95. https://doi.org/10.3389/fphy.2020.00095.
- Biot, M.A. (1956), "Thermoelasticity and irreversible thermodynamics", J. Appl. Phys., 27(3), 240-253. http://dx.doi.org/10.1063/1.1722351.
- Boussoula, A., Boucham, B., Bourada, M., Bourada, F., Tounsi, A., Bousahla, A.A. and Tounsi, A. (2020), "A simple nth-order shear deformation theory for thermomechanical bending analysis of different configurations of FG sandwich plates", Smart Struct. Syst., 25(2), 197-218. http://dx.doi.org/10.12989/sss.2020.25.2.197.
- Ezzat, M. and El-Bary, A. (2016), "Modeling of fractional magneto-thermoelasticity for a perfect conducting materials", Smart Struct. Syst., 18(4), 707-731. http://doi.org/10.12989/sss.2016.18.4.707.
- Gupta, R.R. and Gupta, R.R. (2013), "Analysis of wave motion in an anisotropic initially stressed fiberreinforced thermoelastic medium", Earthq. Struct., 4(1), 1-10. http://doi.org/10.12989/eas.2013.4.1.001.
- Hashin, Z. and Rosen, B.W. (1964), "The elastic moduli of fiber-reinforced materials", J. Appl. Mech., 31(2), 223-232. https://doi.org/10.1115/1.3629590.
- Itu, C., Ochsner, A., Vlase, S. and Marin, M.I. (2019), "Improved rigidity of composite circular plates through radial ribs", Proc. Inst. Mech. Eng., Part L: J. Mater.: Des. Appl., 233(8), 1585-1593. https://doi.org/10.1177/1464420718768049.
- Khan, A.A., Bukhari, S.R., Marin, M. and Ellahi, R. (2019), "Effects of chemical reaction on third-grade MHD fluid flow under the influence of heat and mass transfer with variable reactive index", Heat Transf. Res., 50(11), 1061-1080, https://doi.org/10.1615/HeatTransRes.2018028397.
- Kondaiah, P. and Shankar, K. (2017), "Pyroeffects on Magneto-Electro-Elastic Sensor patch subjected to thermal load", Smart Struct. Syst., 19(3), 299-307. http://doi.org/10.12989/sss.2017.19.3.299.
- Kumar, R. and Gupta, R.R. (2010), "Study of wave motion in an anisotropic fiber-reinforced thermoelastic solid", J. Solid Mech., 2(1), 91-100.
- Lord, H.W. and Shulman, Y. (1967), "A generalized dynamical theory of thermoelasticity", J. Mech. Phys. Solid., 15(5), 299-309. https://doi.org/10.1016/0022-5096(67)90024-5.
- Lotfy, K. (2012), "Mode-I crack in a two-dimensional fibre-reinforced generalized thermoelastic problem", Chin. Phys. B, 21(1), 014209. https://doi.org/10.1088/1674-1056/21/1/014209.
- Lotfy, K. and Othman, M.I.A. (2014), "The effect of magnetic field on 2-D problem for a mode-I Crack of a fiber-reinforced in generalized Thermoelasticity", Int. J. Thermophys., 35(1), 154-174. https://doi.org/10.1007/s10765-013-1540-x.
- Ma, Y., Cao, L. and He, T. (2018), "Variable properties thermopiezoelectric problem under fractional thermoelasticity", Smart Struct. Syst., 21(2), 163-170. http://doi.org/10.12989/sss.2018.21.2.163.
- Mahesh, V., Kattimani, S., Harursampath, D. and Trung, N.-T. (2019), "Coupled evaluation of the free vibration characteristics of magneto-electro-elastic skew plates in hygrothermal environment", Smart Struct. Syst., 24(2), 267-292. http://doi.org/10.12989/sss.2019.24.2.267.
- Marin, M. (2010), "Lagrange identity method for microstretch thermoelastic materials", J. Math. Anal. Appl., 363(1), 275-286. https://doi.org/10.1016/j.jmaa.2009.08.045.
- Marin, M., Ellahi, R. and Chirila, A. (2017), "On solutions of Saint-Venant's problem for elastic dipolar bodies with voids", Carpath. J. Math., 33(2), 219-232.
- Marin, M. and Nicaise, S. (2016), "Existence and stability results for thermoelastic dipolar bodies with double porosity", Continu. Mech. Thermodyna., 28(6), 1645-1657. https://doi.org/10.1007/s00161-016-0503-4.
- Marin, M., Vlase, S., Ellahi, R. and Bhatti, M. (2019), "On the partition of energies for the backward in time problem of thermoelastic materials with a dipolar structure", Symmetry. 11(7), 863. https://doi.org/10.3390/sym11070863.
- Mohamed, R., Abbas, I.A. and Abo-Dahab, S. (2009), "Finite element analysis of hydromagnetic flow and heat transfer of a heat generation fluid over a surface embedded in a non-Darcian porous medium in the presence of chemical reaction", Commun. Nonlin. Sci. Numer. Simul., 14(4), 1385-1395. https://doi.org/10.1016/j.cnsns.2008.04.006.
- Nowacki, W. (1975), Dynamic Problems of Thermoelasticity, Springer Science & Business Media.
- Othman, M.I.A. and Lotfy, K. (2013), "The effect of magnetic field and rotation of the 2-D problem of a fiber-reinforced thermoelastic under three theories with influence of gravity", Mech. Mater., 60, 129-143 https://doi.org/10.1016/j.mechmat.2013.01.007.
- Othman, M.I.A. and Said, S.M. (2012), "The effect of mechanical force on generalized thermoelasticity in a fiber-reinforcement under three theories", Int. J. Thermophys., 33(6), 1082-1099. https://doi.org/10.1007/s10765-012-1203-3.
- Othman, M.I.A. and Said, S.M. (2013), "Plane waves of a fiber-reinforcement magneto-thermoelastic comparison of three different theories", Int. J. Thermophys., 34(2), 366-383. https://doi.org/10.1007/s10765-013-1417-z.
- Sadowski, T., Marsavina, L., Peride, N. and Craciun, E.-M. (2009), "Cracks propagation and interaction in an orthotropic elastic material: analytical and numerical methods", Comput. Mater. Sci., 46(3), 687-693. https://doi.org/10.1016/j.commatsci.2009.06.006.
- Saeed, T., Abbas, I. and Marin, M. (2020), "A GL model on thermo-elastic interaction in a poroelastic material using finite element method", Symmetry, 12(3), 488. https://doi.org/10.3390/sym12030488.
- Sarkar, N. and Lahiri, A. (2013), "The effect of gravity field on the plane waves in a fiber-reinforced two-temperature magneto-thermoelastic medium under lord-shulman theory", J. Therm. Stress., 36(9), 895-914. https://doi.org/10.1080/01495739.2013.770709.
- Sengupta, P. and Nath, S. (2001), "Surface waves in fibre-reinforced anisotropic elastic media", Sadhana, 26(4), 363-370. https://doi.org/10.1007/BF02703405.
- Singh, B. and Singh, S.J. (2004), "Reflection of plane waves at the free surface of a fibre-reinforced elastic half-space", Sadhana, 29(3), 249-257. https://doi.org/10.1007/BF02703774.
- Singh, V.K. and Panda, S.K. (2015), "Large amplitude free vibration analysis of laminated composite spherical shells embedded with piezoelectric layers", Smart Struct. Syst., 16(5), 853-872. http://doi.org/10.12989/sss.2015.16.5.853.
- Spencer, A.J.M. (1972), Deformations of Fibre-reinforced Materials, Clarendon Press, Oxford.
- Verma, P. (1986), "Magnetoelastic shear waves in self-reinforced bodies", Int. J. Eng. Sci., 24(7), 1067-1073. https://doi.org/10.1016/0020-7225(86)90002-9.
- Zenkour, A.M. and Abbas, I.A. (2014), "A generalized thermoelasticity problem of an annular cylinder with temperature-dependent density and material properties", Int. J. Mech. Sci., 84, 54-60. https://doi.org/10.1016/j.ijmecsci.2014.03.016.
- Zenkour, A.M. and Abbas, I.A. (2014), "Magneto-thermoelastic response of an infinite functionally graded cylinder using the finite element model", J. Vib. Control, 20(12), 1907-1919. https://doi.org/10.1177/1077546313480541.
- Zenkour, A.M. and Abbas, I.A. (2014), "Thermal shock problem for a fiber-reinforced anisotropic half-space placed in a magnetic field via GN model", Appl. Math. Comput., 246 482-490. https://doi.org/10.1016/j.amc.2014.08.052.