Transient responses of a cylindrical lining in a thermoelastic medium based on the discontinuous interfacial model

References

• M. J. Forrestal and M. J. Sagartz, “Radiated pressure in an acoustic medium produced by pulsed cylindrical and spherical shells,” J. Appl. Mech., vol. 38, no. 4, pp. 1057–1060, 1971. DOI: 10.1115/1.3408916.
   Google Scholar
• T. A. Duffey, “Transient response of viscoplastic and viscoelastic shells submerged in fluid media,” J. Appl. Mech., vol. 43, no. 1, pp. 137–143, 1976. DOI: 10.1115/1.3423764.
   Web of Science ®Google Scholar
• R. R. Karpp, T. A. Duffey, T. R. Neal, R. H. Warnes, and J. D. Thompson, “Dynamic response of containment vessels to blast loading,” Joint Conf. Exp. Mech., vol. 105, no. 1, pp. 723–726, 1983. DOI: 10.1115/1.3264234.
   Google Scholar
• L. A. Glenn and R. E. Kidder, “Blast loading of a spherical container surrounded by an infinite elastic medium,” J. Appl. Mech., vol. 50, no. 4a, pp. 723–726, 1983. DOI: 10.1115/1.3167136.
   Web of Science ®Google Scholar
• J. Penzien and C. L. Wu, “Stresses in linings of bored tunnels,” Earthquake Engng. Struct. Dyn., vol. 27, no. 3, pp. 283–300, 1998. DOI: 10.1002/(SICI)1096-9845(199803)27:3 < 283::AID-EQE732 > 3.0.CO;2-T.
   Web of Science ®Google Scholar
• F. Auslender and A. Combescure, “Spherical elastic-plastic structures under internal explosion: approximate analytical solutions and applications,” Eng. Struct., vol. 22, no. 8, pp. 984–992, 2000. DOI: 10.1016/S0141-0296(99)00035-8.
   Web of Science ®Google Scholar
• U. Zakout and N. Akkas, “Transient response of a cylindrical cavity with and without a bonded shell in an infinite elastic medium,” Int. J. Eng. Sci., vol. 35, no. 12–13, pp. 1203–1220, 1997. DOI: 10.1016/S0020-7225(97)00011-6.
   Web of Science ®Google Scholar
• M. Gao, Y. Wang, and G. Y. Gao, “Dynamic response of cylindrical lined cavity in elastic medium,” J. Cent. South Univ., vol. 20, no. 10, pp. 2849–2855, 2013. DOI: 10.1007/s11771-013-1805-3.
   Web of Science ®Google Scholar
• M. A. Biot, “Thermoelasticity and irreversible thermodynamics,” J. Appl. Phys., vol. 27, no. 3, pp. 240–253, 1956. DOI: 10.1063/1.1722351.
   Web of Science ®Google Scholar
• H. W. Lord and Y. Shulman, “A generalized dynamical theory of thermoelasticity,” J. Mech. Phys. Solids, vol. 15, no. 5, pp. 299–309, 1967. DOI: 10.1016/0022-5096(67)90024-5.
   Web of Science ®Google Scholar
• A. E. Green and K. A. Lindsay, “Thermoelasticity,” J. Elasticity, vol. 2, no. 1, pp. 1–7, 1972. DOI: 10.1007/BF00045689.
   Google Scholar
• H. H. Sherief and F. A. Hamza, “Modeling of variable thermal conductivity in a generalized thermoelastic infinitely long hollow cylinder,” Meccanica, vol. 51, no. 3, pp. 551–558, 2016. DOI: 10.1007/s11012-015-0219-8.
   Web of Science ®Google Scholar
• H. M. Youssef and A. A. El-Bary, “Generalized thermoelastic infinite layer subjected to ramp-type thermal and mechanical loading under three theoriesstate space approach,” J. Therm. Stresses, vol. 32, no. 12, pp. 1293–1310, 2009. DOI: 10.1080/01495730903249276.
   Web of Science ®Google Scholar
• A. A. Delouei, M. H. Kayhani, and M. Norouzi, “Exact analytical solution of unsteady axi-symmetric conductive heat transfer in cylindrical orthotropic composite laminates,” Int. J. Heat Mass Transfer, vol. 55, no. 15–16, pp. 4427–4436, 2012. DOI: 10.1016/j.ijheatmasstransfer.2012.04.012.
   Web of Science ®Google Scholar
• H. H. Sherief and M. N. Anwar, “A problem in generalized thermoelasticity for an infinitely long annular cylinder composed of two different materials,” Acta Mech., vol. 80, no. 1–2, pp. 137–149, 1989. DOI: 10.1080/01495738908961982.
   Web of Science ®Google Scholar
• A. M. Abd El-Latief and S. E. Khader, “Fractional model of thermoelasticity for a half-space overlaid by a thick layer,” Z. Angew. Math. Mech., vol. 95, no. 5, pp. 511–518, 2015. DOI: 10.1002/zamm.201300174.
   Web of Science ®Google Scholar
• M. J. Wen, J. M. Xu, and H. R. Xiong, “Thermal diffusion effects in a tunnel with a cylindrical lining and soil system under explosive loading,” Math. Probl. Eng., vol. 2019, pp. 1–11, 2019. DOI: 10.1155/2019/2535980.
   Web of Science ®Google Scholar
• T. B. Cheng, W. G. Li, C. Z. Zhang, and D. N. Fang, “Unified thermal shock resistance of ultra-high temperature ceramics under different thermal environments,” J. Therm. Stresses, vol. 37, no. 1, pp. 14–33, 2014. DOI: 10.1080/01495739.2013.818891.
   Web of Science ®Google Scholar
• W. G. Li, D. J. Li, C. Z. Zhang, and D. N. Fang, “Modelling the effect of temperature and damage on the fracture strength of ultra-high temperature ceramics,” Int. J. Fract., vol. 176, no. 2, pp. 181–188, 2012. DOI: 10.1007/s10704-012-9743-x.
   Web of Science ®Google Scholar
• W. G. Li et al., “Effect of the cooling medium temperature on the thermal shock resistance of ceramic materials,” Mater. Lett., vol. 138, pp. 216–218, 2015. DOI: 10.1016/j.matlet.2014.09.137.
   Web of Science ®Google Scholar
• W. B. Lor and H.-S. Chu, “Effect of interface thermal resistance on heat transfer in a composite medium using the thermal wave model,” Int. J. Heat Mass Transfer, vol. 43, no. 5, pp. 653–663, 2000. DOI: 10.1016/S0017-9310(99)00178-7.
   Web of Science ®Google Scholar
• Z. N. Xue, Y. J. Yu, and X. G. Tian, “Transient responses of bi-layered structure based on generalized thermoelasticity: interfacial conditions,” Int. J. Mech. Sci., vol. 99, pp. 179–186, 2015. DOI: 10.1016/j.ijmecsci.2015.05.016.
   Web of Science ®Google Scholar
• Z. N. Xue, Y. J. Yu, and X. G. Tian, “Transient responses of multi-layered structures with interfacial conditions in the generalized thermoelastic diffusion theory,” Int. J. Mech. Sci., vol. 131–132, pp. 63–74, 2017. DOI: 10.1016/j.ijmecsci.2017.05.054.
   Web of Science ®Google Scholar
• Z. N. Xue, Y. J. Yu, C. L. Li, and X. G. Tian, “Application of fractional order theory of thermoelasticity to a bilayered structure with interfacial conditions,” J. Therm. Stresses, vol. 39, no. 9, pp. 1017–1034, 2016. DOI: 10.1080/01495739.2016.1192451.
   Web of Science ®Google Scholar
• X. R. Liu, X. G. Tian, T. J. Lu, and B. Liang, “Sandwich plates with functionally graded metallic foam cores subjected to air blast loading,” Int. J. Mech. Sci., vol. 84, pp. 61–72, 2014. DOI: 10.1016/j.ijmecsci.2014.03.021.
   Web of Science ®Google Scholar
• X. R. Liu, X. G. Tian, T. J. Lu, D. Q. Zhou, and B. Liang, “Blast resistance of sandwich-walled hollow cylinders with graded metallic foam cores,” Compos. Struct., vol. 94, no. 8, pp. 2485–2493, 2012. DOI: 10.1016/j.compstruct.2012.02.029.
   Web of Science ®Google Scholar
• D. D. Li, Z. B. Deng, H. Z. Xiao, and L. J. Zhu, “Thermomechanical bending analysis of functionally graded sandwich plates with both functionally graded face sheets and functionally graded cores,” Mech. Adv. Mater. Struct., vol. 25, no. 3, pp. 179–191, 2018. DOI: 10.1080/15376494.2016.1255814.
   Web of Science ®Google Scholar
• D. Punera, T. Kant, and Y. M. Desai, “Thermoelastic analysis of laminated and functionally graded sandwich cylindrical shells with two refined higher order models,” J. Therm. Stresses, vol. 41, no. 1, pp. 54–79, 2018. DOI: 10.1080/01495739.2017.1373379.
   Web of Science ®Google Scholar
• B. Das, Problems and Solutions in Thermoelasticity and Magneto-Thermoelasticity, Vol. XIV, Cham, Switzerland: Springer International Publishing AG, 2017, p. 104. DOI: 10.1007/978-3-319-48808-0.
   Google Scholar
• P. Ailawalia and N. S. Narah, “Effect of rotation in a generalized thermoelastic medium with hydrostatic initial stress subjected to ramp-type heating and loading,” Int. J. Thermophys., vol. 30, no. 6, pp. 2078–2097, 2009. DOI: 10.1007/s10765-009-0686-z.
   Web of Science ®Google Scholar
• Z. N. Xue, Y. J. Yu, and X. G. Tian, “Effects of two-temperature parameter and thermal nonlocal parameter on transient responses of a half-space subjected to ramp-type heating,” Waves Random Complex Medium, vol. 27, no. 3, pp. 440–457, 2017. DOI: 10.1080/17455030.2016.1262974.
   Web of Science ®Google Scholar
• K. S. Crump, “Numerical inversion of Laplace transforms using a Fourier series approximation,” J. ACM, vol. 23, no. 1, pp. 89–96, 1976. DOI: 10.1145/321921.321931.
   Web of Science ®Google Scholar
• M. R. Kundu and B. Mukhopadhyay, “A thermoviscoelastic problem of an infinite medium with a spherical cavity using generalized theory of thermoelasticity,” Math. Comp. Model., vol. 41, no. 1, pp. 25–32, 2005. DOI: 10.1016/j.mcm.2004.07.009.
   Google Scholar
• X. G. Tian, Y. P. Shen, C. Q. Chen, and T. H. He, “A direct finite element method study of generalized thermoelastic problems,” Int. J. Solids Struct., vol. 43, no. 7–8, pp. 2050–2063, 2006. DOI: 10.1016/j.ijsolstr.2006.06.071.
   Web of Science ®Google Scholar