Multi thermal waves in a thermo diffusive piezo electric functionally graded rod via refined multi-dual phase-lag model

References

[1] Suresh S, Mortensen A. Fundamentals of Functionally Graded Materials: Processing and Thermomechanical Behavior of Graded Metals and Metal-Ceramic Composites. London: IOM Communications, LTD; 1998.Search in Google Scholar

[2] Tzou HS, Ye R. Pyroelectric and thermal strain effects of piezoelectric (PVDF and PZT) devices Mech Syst Signal Process. 1996;10(4):459-469.10.1006/mssp.1996.0032Search in Google Scholar

[3] Miyamoto Y, Kaysser WA, Rabin BH, Kawasaki A, Ford RG. Functionally Graded Materials: Design, Processing and Applications. London: Kluwer Academic Publishers; 1999. [doi:10.1016/j.mspro.2014.07.442].10.1016/j.mspro.2014.07.442Search in Google Scholar

[4] Paulino GH, Jin ZH, Dodds RH Jr. Failure of functionally graded materials. In: Comprehensive Structural Integrity. Elsevier Ltd; 2007. p. 607-644.10.1016/B0-08-043749-4/02101-7Search in Google Scholar

[5] Müller E, Drašar C, Schilz J, Kaysser WA. Functionally graded materials for sensor and energy applications. Mater Sci Eng A. 2003 Dec;362(1-2):17-30.10.1016/S0921-5093(03)00581-1Search in Google Scholar

[6] Niino M, Kisar K, Mori M. Feasibility study of FGM technology in space solar power systems(SPSS), Mater Sci Forum. 2005;492:163-8.10.4028/www.scientific.net/MSF.492-493.163Search in Google Scholar

[7] Malinina M, Sammi T, Gasik M. Corrosion resistance of homogeneous and FGM coatings]. Mater Sci Forum. 2005;492–493:305-10. [doi:10.4028/www.scientific.net/MSF.492-493.30510.4028/www.scientific.net/MSF.492-493.305Search in Google Scholar

[8] Xing A, Jun Z, Chuanzhen H, Jianhua Z. Development of an advanced ceramic tool material – functionally gradient cutting ceramics. Mater Sci Eng A. 1998;248(1-2):125–31.10.1016/S0921-5093(98)00502-4Search in Google Scholar

[9] Kawasaki A, Watanabe R. Thermal fracture behavior of metal/ceramic functionally graded materials. Eng Fract Mech. 2002;69(14-16):1713-1728.10.1016/S0013-7944(02)00054-1Search in Google Scholar

[10] Woodward B, Kashtalyan M. Performance of functionally graded plates under localised transverse loading. Compos Struct. 2012;94(7):2254-62. [doi:10.1016/j.compstruct.2012.02.012]10.1016/j.compstruct.2012.02.012Search in Google Scholar

[11] Mindlin RD. Equations of high frequency vibrations of thermo piezoelectric crystal plates. Int J Solids Struct. 1974;10(6):625-37. [doi:10.1016/0020-7683(74)90047-X]10.1016/0020-7683(74)90047-XSearch in Google Scholar

[12] Chandrasekharairh DS. A generalized linear thermoelasticity theory for piezoelectric media. Acta Mech. 1988;71:39-49.10.1007/BF01173936Search in Google Scholar

[13] Lebon G. A generalized theory of thermoelasticity. J Tech Phys. 1982;23:37-46.Search in Google Scholar

[14] Mindlin RD. On the equations of motion of piezoelectric crystals. In: Muskilishivili NI, Editor. Problems of continuum mechanics. Philadelphia:SIAM, 1961. p.282-290.Search in Google Scholar

[15] Rao SS, Sunar M. Analysis of distributed thermopiezoelectric sensors and actuators in advanced intelligent structures. AIAA J. 1993;31(7):1280-6. [doi:10.2514/3.11764]10.2514/3.11764Search in Google Scholar

[16] Selvamani R, Poongkothai J, Jayakumar S. Hygro thermal vibration characteristics of an axisymmetric piezoelctric functionally graded rod. AIP Conf Proc. 2019;2166:020026.10.1063/1.5131613Search in Google Scholar

[17] Poongkothai J, Selvamani R. Thermo electro environment effects in a dispersion of functionally graded thermo piezo electric rod coupled with inviscid fluid. AIP Conf Proc. 2019;2166:020027. [doi:10.1063/1.5131614]10.1063/1.5131614Search in Google Scholar

[18] Dube GP, Kapuria S, Dumir PC. Exact piezothermoelastic solution of simply-supported orthotropic flat panel in cylindrical bending. Int J Mech Sci. 1996;38(11):1161-77. [doi:10.1016/0020-7403(96)00020-3].10.1016/0020-7403(96)00020-3Search in Google Scholar

[19] Ding HJ, Wang HM, Chen WQ. Dynamic responses of a functionally graded pyroelectric hollow sphere for spherically symmetric problems. Int J Mech Sci. 2003 Jun;45(6-7):1029-51. [doi:10.1016/j.ijmecsci.2003.09.005]10.1016/j.ijmecsci.2003.09.005Search in Google Scholar

[20] Ootao Y, Tanigawa Y. Transient piezothermoelastic analysis for a functionally graded thermopiezoelectric hollow sphere. Compos Struct. 2007 Dec;81(4):540-54. [doi:10.1016/j.compstruct.2006.10.002]10.1016/j.compstruct.2006.10.002Search in Google Scholar

[21] Wu CP, Huang SE. Three-dimensional solutions of functionally graded piezo-thermo-elastic shells and plates using a modified Pagano method. Comput Mater Contin. 2009;12(3):251-281.Search in Google Scholar

[22] Akbarzadeh AH, Chen ZT. Heat conduction in one-dimensional functionally graded media based on the dual-phase-lag theory. Proc Inst Mech Eng C J Mech Eng. Sci. 2013, 227(4), 744-759. [doi:10.1177/0954406212456651]10.1177/0954406212456651Search in Google Scholar

[23] Abouelregal AE, Zenkour AM. Effect of phase lags on thermoelastic functionally graded microbeams subjected to ramp-type heating. IJST-T Mech Eng. 2014;38(M2):321-35. [doi:10.22099/IJSTM.2014.2498]Search in Google Scholar

[24] Elhagary MA. A Two-Dimensional Generalized Thermoelastic Diffusion Problem for a Thick Plate Subjected to Thermal Loading Due to Laser Pulse. J Therm Stresses. 2014;37(12):1416-32.10.1080/01495739.2014.937256Search in Google Scholar

[25] Abbas AI, Kumar R, Kaushal S. Interaction due to thermal source in micropolar thermoelastic diffusion medium. J Comput Theor Nanosci. 2015;12(8):1780-6.10.1166/jctn.2015.3958Search in Google Scholar

[26] He TH, Cao L, Li S. Dynamic response of a piezoelectric rod with thermal relaxation. J Sound Vib. 2007;306(3-5):897–907.10.1016/j.jsv.2007.06.018Search in Google Scholar

[27] Babaei MH, Chen ZT. Transient thermo piezoelectric response of a one-dimensional functionally graded piezoelectric medium to a moving heat source. Arch Appl Mech. 2010;80(7):803-13. [doi:10.1007/s00419-009-0342-x]10.1007/s00419-009-0342-xSearch in Google Scholar

[28] Ma Y, He TH. Dynamic response of a generalized piezoelectric-thermoelastic problem under fractional order theory of thermoelasticity. Mech Adv Mater Struct. 2016;23(10):1173-80. [doi:10.1080/15376494.2015.1068397]10.1080/15376494.2015.1068397Search in Google Scholar

[29] Othman MI, Hilal MI, Elmaklizi YD. The effect of gravity and diffusion on micropolar thermoelasticity with temperature-dependent elastic medium under G–N theory. Mech Mech Eng. 2017;21(3):657–77.Search in Google Scholar

[30] Zenkour AM. Wave propagation of a gravitated piezothermoelastic half-space via a refined multi-phase-lags theory, mechanics of advanced materials and structures. Mech Adv Mater Struct. 2020;27(22):1923-34. [doi:10.1080/15376494.2018.1533057]10.1080/15376494.2018.1533057Search in Google Scholar

[31] Zenkour AM, Kutbi MA. Multi thermal relaxations for thermodiffusion problem in a thermoelastic half-space Int J Heat Mass Transf. 2019;143:118568. [doi:1016/j.ijheatmasstransfer.2019.118568]10.1016/j.ijheatmasstransfer.2019.118568Search in Google Scholar

[32] Sharma JN, Kumar M. Plane harmonic waves in piezo thermo elastic materials. Indian J Eng Mater Sci. 2000;7(5):434-42.Search in Google Scholar

[33] Othman MI, Hasona WM, Abd-Elaziz EM. Effect of rotation on micro-polar generalized thermoelasticity with two-temperature using a dual-phase-lag model. Can J Phys. 2014;92(2):149-158.10.1139/cjp-2013-0398Search in Google Scholar

[34] Othman MI. A Lord-Shulman theory under the dependence of the modulus of elasticity on the reference temperature in two dimensional generalized thermoelasticity. J Therm Stresses. 2002;25(11):1027-45. [doi:10.1080/01495730290074621]10.1080/01495730290074621Search in Google Scholar

[35] Othman MI, Abbas IA. Effect of rotation on a magneto-thermoelastic homogeneous isotropic hollow cylinder with energy dissipation using finite element method. J Comput Theor Nanosci. 2015;12:2399-404. [doi:https://doi.org/10.1166/jctn.2015.4039]10.1166/jctn.2015.4039Search in Google Scholar

[36] Sharma JN, Kumar PK, Mishra KC. Dynamic response of functionally graded cylinders due to time-dependent heat flux. Meccanica. 2016;51:139-154.10.1007/s11012-015-0191-3Search in Google Scholar

[37] Sharma JN, Kumar PK, Mishra C. Analysis of free vibrations in axisymmetric functionally graded thermo elastic cylinders. Acta Mech. 2014;225(6):1581-1594.10.1007/s00707-013-1010-3Search in Google Scholar

[38] Ebrahimi F, Dabbagh A. Magnetic field effects on thermally affected propagation of acoustical waves in rotary double-nanobeam systems. Waves Random Complex Media. 2018;31(1):1–21. [doi:10.1080/17455030.2018.1558308].10.1080/17455030.2018.1558308Search in Google Scholar

[39] Pradhan SC, Phadikar JK. Small scale effect on vibration of embedded multilayered graphene sheets based on nonlocal continuum models. Phys Lett A. 2009;373(11):1062–9. [doi:10.1016/j.physleta.2009.01.030].10.1016/j.physleta.2009.01.030Search in Google Scholar

[40] Reddy JN. Analysis of functionally graded plates. Int J Numer Methods Eng. 2000;47(1-3):663–84.10.1002/(SICI)1097-0207(20000110/30)47:1/3<663::AID-NME787>3.0.CO;2-8Search in Google Scholar