A Polynomial Approach for Thermoelastic Wave Propagation in Functionally Gradient Material Plates
Bibliographic record
Abstract
No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.
Source: Not provided · Quality: missing
Research context
OpenAlex topics: Thermoelastic and Magnetoelastic Phenomena · Elasticity and Wave Propagation · Ultrasonics and Acoustic Wave Propagation
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (40)
Show source-provided references
1. Ghanavati, R., Naffakh-Moosavy, H.: Additive manufacturing of functionally graded metallic materials: a review of experimental and numerical studies. J. Mark. Res. 13, 1628–1664 (2021)
2. Gupta, A., Talha, M.: Recent development in modeling and analysis of functionally graded materials and structures. Prog. Aerosp. Sci. 79, 1–14 (2015)10.1016/j.paerosci.2015.07.001 ↗
3. Sajjad, A., Bakar, W.Z.W., Basri, S.N., et al.: Functionally graded materials: an overview of dental applications. World J. Dent. 9(2), 137–144 (2017)10.5005/jp-journals-10015-1523 ↗
4. He, C.F., Zheng, M.F., Lv, Y.: Development, applications and challenges in ultrasonic guided waves testing technology. Chin. J. Sci. Instrum. 37(8), 1713–1735 (2016)
5. Wang, L., Yuan, F.G.: Group velocity and characteristic wave curves of Lamb waves in composites: modeling and experiments. Compos. Sci. Technol. 67(7), 1370–1384 (2007)10.1016/j.compscitech.2006.09.023 ↗
6. Mueller, E., Drašar, Č, Schilz, J., et al.: Functionally graded materials for sensor and energy applications. Mater. Sci. Eng. A 362(1–2), 17–39 (2003)10.1016/S0921-5093(03)00581-1 ↗
7. Naebe, M., Shirvanimoghaddam, K.: Functionally graded materials: a review of fabrication and properties. Appl. Mater. Today 5, 223–245 (2016)10.1016/j.apmt.2016.10.001 ↗
8. Zhang, W., Gui, S., Li, W., et al.: Functionally gradient silicon/graphite composite electrodes enabling stable cycling and high capacity for lithium-ion batteries. ACS Appl. Mater. Interfaces 14(46), 51954–51964 (2022)10.1021/acsami.2c15355 ↗
9. Fan, X.Z., Song, Y.Q.: Reflection of plane waves in a functionally graded thermoelastic medium. Waves Random Complex Med. 2021, 1–15 (2021)
10. Li, Y., Wei, P., Zhang, P., et al.: Thermoelastic wave and thermal shock based on dipolar gradient elasticity and fractional-order generalized thermoelasticity. Waves Random Complex Med. 1–25, 2021 (2021)
11. Manthena, V.R.: Uncoupled thermoelastic problem of a functionally graded thermosensitive rectangular plate with convective heating. Arch. Appl. Mech. 89(8), 1627–1639 (2019)10.1007/s00419-019-01532-1 ↗
12. Dai, J., Liu, Y., Tong, G.: Wave propagation analysis of thermoelastic functionally graded nanotube conveying nanoflow. J. Vib. Control 28(3–4), 339–350 (2022)10.1177/1077546320977044 ↗
13. Sheokand, S.K., Kalkal, K.K., Deswal, S.: Thermoelastic interactions in a functionally graded material with gravity and rotation under dual-phase-lag heat conduction. Mech. Based Des. Struct. Mach. 51(6), 3026–3045 (2023)10.1080/15397734.2021.1914653 ↗
14. Hosseini, S.M.: Strain gradient and Green–Naghdi-based thermoelastic wave propagation with energy dissipation in a Love–Bishop nanorod resonator under thermal shock loading. Waves Random Complex Med. 1–24, 2021 (2021)
15. Liu, G., Zhao, H., Liu, C.: Green–Naghdi generalized thermoelasticity of FG-GPLRC layer under thermal shock with viscosity effects. Waves Random Complex Med. 1–25, 2022 (2022)
16. Kalkal, K.K., Kumar, S., Kadian, A.: Plane wave propagation in a fiber-reinforced thermoelastic rotating medium with variable thermal conductivity under modified Green–Lindsay model. Waves Random Complex Med. 1–21, 2022 (2022)
17. Sharma, J.N., Pathania, V.: Thermoelastic waves in coated homogeneous anisotropic materials. Int. J. Mech. Sci. 48(5), 526–535 (2006)10.1016/j.ijmecsci.2005.12.004 ↗
18. Kumari, T., Som, R., Althobaiti, S., et al.: Bending wave at the edge of a thermally affected functionally graded poroelastic plate. Thin Walled Struct. 186, 110719 (2023)10.1016/j.tws.2023.110719 ↗
19. She, G.L.: Guided wave propagation of porous functionally graded plates: the effect of thermal loadings. J. Therm. Stresses 44(10), 1289–1305 (2021)10.1080/01495739.2021.1974323 ↗
20. Wang, X., Li, F., Yu, J., et al.: Circumferential thermoelastic Lamb wave in fractional order cylindrical plates. ZAMM J. Appl. Math. Mech./Z. Angew. Math. Mech. 101(5), e202000208 (2021)10.1002/zamm.202000208 ↗
21. Wang, X., Li, F., Zhang, B., et al.: Wave propagation in thermoelastic inhomogeneous hollow cylinders by analytical integration orthogonal polynomial approach. Appl. Math. Model. 99, 57–80 (2021)10.1016/j.apm.2021.06.008 ↗
22. Wang, X., Hou, Y., Zhang, X., et al.: Thermoelastic wave propagation in functionally graded nanohollow cylinders based on nonlocal theory. J. Braz. Soc. Mech. Sci. Eng. 45(7), 370 (2023)10.1007/s40430-023-04278-8 ↗
23. Jiangong, Y., Bin, W., Cunfu, H.: Circumferential thermoelastic waves in orthotropic cylindrical curved plates without energy dissipation. Ultrasonics 50(3), 416–423 (2010)10.1016/j.ultras.2009.09.031 ↗
24. Yu, J., Wu, B., He, C.: Guided thermoelastic wave propagation in layered plates without energy dissipation. Acta Mech. Solida Sin. 24(2), 135–143 (2011)10.1016/S0894-9166(11)60015-3 ↗
25. Hayashi, T., Song, W.J., Rose, J.L.: Guided wave dispersion curves for a bar with an arbitrary cross-section, a rod and rail example. Ultrasonics 41(3), 175–183 (2003)10.1016/S0041-624X(03)00097-0 ↗
26. Treyssede, F., Laguerre, L.: Investigation of elastic modes propagating in multi-wire helical waveguides. J. Sound Vib. 329(10), 1702–1716 (2010)10.1016/j.jsv.2009.11.021 ↗
27. Yang, Z., Wu, Z., Zhang, J., et al.: Acoustoelastic guided wave propagation in axial stressed arbitrary cross-section. Smart Mater. Struct. 28(4), 045013 (2019)10.1088/1361-665X/aadb6e ↗
28. Yang, Z., Liu, K., Zhou, K., et al.: Investigation of thermo-acoustoelastic guided waves by semi-analytical finite element method. Ultrasonics 106, 106141 (2020)10.1016/j.ultras.2020.106141 ↗
29. Gao, J., Lyu, Y., Zheng, M., et al.: Modeling guided wave propagation in functionally graded plates by state-vector formalism and the Legendre polynomial method. Ultrasonics 99, 105953 (2019)10.1016/j.ultras.2019.105953 ↗
30. Jie, G., Yan, L., Mingfang, Z., et al.: Analysis of longitudinal guided wave propagation in the functionally graded hollow cylinder using state-vector formalism and Legendre polynomial hybrid approach. J. Nondestr. Eval. 40, 1–13 (2021)10.1007/s10921-021-00764-y ↗
31. Green, A.E., Naghdi, P.M.: Thermoelasticity without energy dissipation. J. Elast. 31(3), 189–208 (1993)10.1007/BF00044969 ↗
32. Green, A.E., Naghdi, P.M.: On undamped heat waves in an elastic solid. J. Therm. Stresses 15(2), 253–264 (1992)10.1080/01495739208946136 ↗
33. Green, A.E., Naghdi, P.M.: A re-examination of the basic postulates of thermomechanics. Proc. R. Soc. Lond. Ser. A: Math. Phys. Sci. 1991(432), 171–194 (1885)
34. Han, X., Liu, G.R.: Elastic waves in a functionally graded piezoelectric cylinder. Smart Mater. Struct. 12, 962–971 (2003)10.1088/0964-1726/12/6/014 ↗
35. Hong, Ke.: Analysis of Lamb waves propagation in functional gradient materials using Taylor expansion method. Acta Physica Sinica 60(10), 104303 (2011)10.7498/aps.60.104303 ↗
36. Yonghua, H., Zhe, W., Xiaoci, L.: Development of simple thermal expansion coefficient measurement apparatus and its application to several materials. CIESC J. 67(S2), 38–45 (2016)
37. Gomez Garcia, P., Fernández-Álvarez, J.P.: Floquet–Bloch theory and its application to the dispersion curves of nonperiodic layered systems. Math. Problems Eng. 2015, 1 (2015)10.1155/2015/475364 ↗
38. Zhu, F., Wang, B., Qian, Z.: A numerical algorithm to solve multivariate transcendental equation sets in complex domain and its application in wave dispersion curve characterization. Acta Mech. 230, 1303–1321 (2019)10.1007/s00707-017-2025-y ↗
39. Lefebvre, J.E., Zhang, V., Gazalet, J., et al.: Legendre polynomial approach for modeling free-ultrasonic waves in multilayered plates. J. Appl. Phys. 85(7), 3419–3427 (1999)10.1063/1.369699 ↗
40. Yu, J., Zhang, X., Xue, T.: Generalized thermoelastic waves in functionally graded plates without energy dissipation. Compos. Struct. 93(1), 32–39 (2010)10.1016/j.compstruct.2010.06.020 ↗