Advances in materials Research

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Transient thermo-mechanical response of a functionally graded beam under the effect of a moving heat source

  • Al-Huniti, Naser S. (Department of Mechanical Engineering, The University of Jordan) ;
  • Alahmad, Sami T. (Department of Mechanical Engineering, The University of Jordan)
  • Received : 2017.01.11
  • Accepted : 2017.03.08
  • Published : 2017.03.25
⟨ Previous Next ⟩

Abstract

The transient thermo-mechanical behavior of a simply-supported beam made of a functionally graded material (FGM) under the effect of a moving heat source is investigated. The FGM consists of a ceramic part (on the top), which is the hot side of the beam as the heat source motion takes place along this side, and a metal part (in the bottom), which is considered the cold side. Grading is in the transverse direction, with the properties being temperature-dependent. The main steps of the thermo-elastic modeling included deriving the partial differential equations for the temperatures and deflections in time and space, transforming them into ordinary differential equations using Laplace transformation, and finally using the inverse Laplace transformation to find the solutions. The effects of different parameters on the thermo-mechanical behavior of the beam are investigated, such as the convection coefficient and the heat source intensity and speed. The results show that temperatures, and hence the deflections and stresses increase with less heat convection from the beam surface, higher heat source intensity and low speeds.

Keywords

References

  1. Akbas, S.D. (2015), "Wave propagation of a functionally graded beam in thermal environments", Steel Compos. Struct., 19(6), 1421-1447. https://doi.org/10.12989/scs.2015.19.6.1421
  2. Al-Huniti, N.S. (2004), "Dynamic behavior of a laminated beam under the effect of a moving heat source", J. Compos. Mater., 38(23), 2143-2160. https://doi.org/10.1177/0021998304045588
  3. Al-Huniti, N.S., Al-Nimr, M.A. and Daas, M.A. (2004), "Transient variations of thermal stresses and the resulting residual stresses within a thin plate during welding processes", J. Therm. Stress., 27(8), 671-689. https://doi.org/10.1080/01495730490483850
  4. Al-Huniti, N.S., Al-Nimr, M.A. and Naij, N. (2001), "Dynamic response of a rod due to a moving heat source under the hyperbolic heat conduction model", J. Sound Vibr., 242(4), 629-640. https://doi.org/10.1006/jsvi.2000.3383
  5. Daouadji, T.H. and Adim, B. (2016), "Theoretical analysis of composite beams under uniformly distributed load", Adv. Mater. Res., 5(1), 1-9. https://doi.org/10.12989/amr.2016.5.1.001
  6. Ding, H., Huang, D. and Chen, W. (2007), "Elasticity solutions for plane anisotropic functionally graded beams", J. Sol. Struct., 44(1), 176-196. https://doi.org/10.1016/j.ijsolstr.2006.04.026
  7. Ebrahimi, F., Ehyaei, J. and Babaei, R. (2016), "Thermal buckling of FGM nanoplates subjected to linear and nonlinear varying loads on Pasternak foundation", Adv. Mater. Res., 5(4), 245-261. https://doi.org/10.12989/amr.2016.5.4.245
  8. Freund, L.B. (1993), "Stress distribution and curvature of a general compositionally graded semiconductor layer", J. Cryst. Grow., 132(1-2), 341-344. https://doi.org/10.1016/0022-0248(93)90280-A
  9. Jiang, A. and Ding, H. (2005), "The analytical solutions for orthotropic cantilever beams (I) subjected to surface forces", J. Zhejiang Univ., 6(2), 126-131.
  10. Jooybar, N., Malekzadeh, P. and Fiouz, A. (2016a), "Vibration of functionally graded carbon nanotubes reinforced composite truncated conical panels with elastically restrained against rotation edges in thermal environment", Compos. Part B: Eng., 106(1), 242-261. https://doi.org/10.1016/j.compositesb.2016.09.030
  11. Jooybar, N., Malekzadeh, P., Fiouz, A. and Vaghefi, M. (2016b), "Thermal effect on free vibration of functionally graded truncated conical shell panels", Thin-Wall. Struct., 103, 45-61. https://doi.org/10.1016/j.tws.2016.01.032
  12. Kadoli, R., Akhtar, K. and Ganesan, N. (2008), "Static analysis of functionally graded beams using higher order shear deformation theory", Appl. Math. Model., 32(12), 2509-2525. https://doi.org/10.1016/j.apm.2007.09.015
  13. Koizumi, M. (1997), "FGM Activities in Japan", Compos. Part B, 28(1-2), 1-4. https://doi.org/10.1016/S1359-8368(96)00016-9
  14. Lee, P.H. (2013), "Fabrication, characterization and modeling of functionally graded materials", Ph.D. Dissertation, Columbia University, New York, U.S.A.
  15. Malekzadeh, P. and Alibeygi, B.A. (2010), "Free vibration of functionally graded arbitrary straight-sided quadrilateral plates in thermal environment", Compos. Struct., 92(11), 2758-2767. https://doi.org/10.1016/j.compstruct.2010.04.011
  16. Malekzadeh, P. and Heydarpour, Y. (2012), "Free vibration analysis of rotating functionally graded cylindrical shells in thermal environment", Compos. Struct., 94(9), 2971-2978. https://doi.org/10.1016/j.compstruct.2012.04.011
  17. Malekzadeh, P. and Heydarpour, Y. (2012), "Response of functionally graded cylindrical shells under moving thermo-mechanical loads", Thin-Wall. Struct., 58, 51-66. https://doi.org/10.1016/j.tws.2012.04.010
  18. Malekzadeh, P. and Monajjemzadeh, S.M. (2016), "Dynamic response of functionally graded beams in a thermal environment under a moving load", Mech. Adv. Mater. Struct., 23(3), 248-258. https://doi.org/10.1080/15376494.2014.949930
  19. Malekzadeh, P. and Shojaee, A. (2014), "Dynamic response of functionally graded beams under moving heat source", J. Vibr. Contr., 20(6), 803-814. https://doi.org/10.1177/1077546312464990
  20. Malekzadeh, P. and Shojaee, S.A. (2013), "Dynamic response of functionally graded plates under moving heat source", Compos. Part B: Eng., 44(1), 295-303. https://doi.org/10.1016/j.compositesb.2012.05.023
  21. Nakamura, T., Wang, T. and Sampath, S. (2000), "Determination of properties of graded materials by inverse analysis and instrumented indentation", Acta Mater., 48(17), 4293-4306. https://doi.org/10.1016/S1359-6454(00)00217-2
  22. Ozisik, M.N. (1993), Heat Conduction, Wiley, New York, U.S.A.
  23. Prakash, T. Singha, M. and Ganapathi, M. (2007), "Thermal post buckling analysis of FGM skew plates", Eng. Struct., 30(1), 22-32. https://doi.org/10.1016/j.engstruct.2007.02.012
  24. Praveen, G.N. and Reddy, J.N. (1998), "Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates", J. Sol. Struct., 35(33), 4457-4476. https://doi.org/10.1016/S0020-7683(97)00253-9
  25. Reddy, J.N. (2004), Mechanics of Laminated Composite Plates and Shells: Theory and Analysis", CRC Press, Boca Raton, FL.
  26. Sankar, B. (2001), "An elasticity solution for functionally graded beams", Compos. Sci. Technol., 61(2), 689-696. https://doi.org/10.1016/S0266-3538(01)00007-0
  27. Sankar, B. and Tzeng, T. (2002), "Thermal stresses in functionally graded beams", AIAA J., 40(6), 1228-1232. https://doi.org/10.2514/2.1775
  28. Simsek, M. (2010), "Vibration analysis of a functionally graded beam under a moving mass by using different beam theories", Compos. Struct., 92(4), 904-917. https://doi.org/10.1016/j.compstruct.2009.09.030
  29. Tzou, D. (1997), Macro-to-Microscale Heat Transfer, Taylor and Francis, Washington, U.S.A.
  30. Wang, R. and Pan, E. (2011), "Three dimensional modeling of functionally graded multiferroic composites", Mech. Adv. Mater. Struct., 18(1), 68-76. https://doi.org/10.1080/15376494.2010.519227
  31. Zamanzadeh, M., Rezazadeh, G., Ilgar, J. and Shabani, R. (2014), "Thermally induced vibration of a functionally graded micro-beam subjected to a moving laser beam", J. Appl. Mech., 6(6), 1450066. https://doi.org/10.1142/S1758825114500665
  32. Zenkour, A.M. and Abouelregal, A.E. (2014), "Vibration of FG nanobeams induced by sinusoidal pulse-heating via a nonlocal thermoelastic model", Acta Mech., 225(12), 3409-3421. https://doi.org/10.1007/s00707-014-1146-9
  33. Zhu, H. and Sankar, B. (2004), "A combined fourier series-Galerkin method for the analysis of functionally graded beams", J. Appl. Mech., 71(3), 421-424. https://doi.org/10.1115/1.1751184

Cited by

  1. Non-linear longitudinal fracture in a functionally graded beam vol.7, pp.4, 2017, https://doi.org/10.12989/csm.2018.7.4.441