Computers and Concrete

  • 제19권6호
  • /
  • Pages.701-710
  • /
  • 2017
  • /
  • 1598-8198(pISSN)
  • /
  • 1598-818X(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Thermoelastic beam in modified couple stress thermoelasticity induced by laser pulse

  • Kumar, Rajneesh (Department of Mathematics, Kurukshetra University) ;
  • Devi, Shaloo (Department of Mathematics & Statistics, Himachal Pradesh University)
  • 투고 : 2016.03.10
  • 심사 : 2017.03.01
  • 발행 : 2017.06.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this study, the thermoelastic beam in modified couple stress theory due to laser source and heat flux is investigated. The beam are heated by a non-Guassian laser pulse and heat flux. The Euler Bernoulli beam theory and the Laplace transform technique are applied to solve the basic equations for coupled thermoelasticity. The simply-supported and isothermal boundary conditions are assumed for both ends of the beam. A general algorithm of the inverse Laplace transform is developed. The analytical results have been numerically analyzed with the help of MATLAB software. The numerically computed results for lateral deflection, thermal moment and axial stress due to laser source and heat flux have been presented graphically. Some comparisons have been shown in figures to estimate the effects of couple stress on the physical quantities. A particular case of interest is also derived. The study of laser-pulse find many applications in the field of biomedical, imaging processing, material processing and medicine with regard to diagnostics and therapy.

키워드

참고문헌

  1. Abouelregal, A.E. and Zenkour, A.M. (2014), "Effect of phase lags on thermoelastic functionally graded microbeams subjected to ramp-type heating", Iran. J. Sci. Technol.: Trans. Mech. Eng., 38(M2), 321-335.
  2. Banerjee, A., Ogale, A.A., Das, C., Mitra, K. and Subramanian, C. (2005), "Temperature distribution in different materials due to short pulse laser irradiation", Heat Transf. Eng., 26(8), 41-49. https://doi.org/10.1080/01457630591003754
  3. Cosserat, E. and Cosserat, F. (1909), Theory of Deformable Bodies, Hermann et Fils, Paris, France.
  4. Daliwal, R.S. and Singh, A. (1980), Dynamical Coupled Thermoelasticity, Hindustan Publishers, Delhi, India.
  5. Dehrouyeh-Semnani, A.M., Dehrouyeh, M., Torabi-Kafshgari, M. and Nikkhah-Bahrami, M. (2015), "A damped sandwich beam model based on symmetric-deviatoric couple stress theory", J. Eng. Sci., 92, 83-94. https://doi.org/10.1016/j.ijengsci.2015.03.007
  6. EI-Sirafy, I.H., Abdou, M.A. and Awad, E. (2014), "Generalized lagging response of thermoelastic beams", Math. Prob. Eng., 1-13.
  7. Guo, X., Yi, Y.B. and Pourkamali, S. (2013), "A finite element analysis of thermoelastic damping in vented MEMS beam resonators", J. Mech. Sci., 4, 73-82.
  8. Honig, G. and Hirdes, U. (1984), "A method for the numerical inversion of the laplace transform", J. Comput. Appl. Math., 10(1), 113-132. https://doi.org/10.1016/0377-0427(84)90075-X
  9. Koiter, W.T. (1964), "Couple-stresses in the theory of elasticity", Proc. R. Neth. Acad. Sci., 67, 17-44.
  10. Mindlin, R.D. (1964), "Micro-structure in linear elasticity", Arch. Ratio. Mech. Anal., 16(1), 51-78. https://doi.org/10.1007/BF00248490
  11. Mindlin, R.D. and Tiersten, H.F. (1962), "Effects of couple-stresses in linear elasticity", Arch. Ratio. Mech. Anal., 11(1), 415-448. https://doi.org/10.1007/BF00253946
  12. Mohammad-Abadi, M. and Daneshmehr, A.R. (2014), "Size dependent buckling analysis of micro beams based on modified couple stress theory with high order theories and general boundary conditions", J. Eng. Sci., 74, 1-14. https://doi.org/10.1016/j.ijengsci.2013.08.010
  13. Nowacki, W. (1976), "Dynamical problems of thermo diffusion in solids", Eng. Fract. Mech., 8, 261-266. https://doi.org/10.1016/0013-7944(76)90091-6
  14. Park, S.K. and Gao, X.L. (2006), "Bernoulli-euler beam model based on a modified couple stress theory", J. Micromech. Micro. Eng., 16(11), 2355. https://doi.org/10.1088/0960-1317/16/11/015
  15. Rao, S.S. (2007), Vibrations of Continuous Systems, John Wiley & Sons, New York, U.S.A.
  16. Rezazadeh, G., Vahdat, A.S., Tayefeh-rezaei, S. and Cetinkaya, C. (2012), "Thermoelastic damping in a micro-beam resonator using modified couple stress theory", Acta Mech., 223(6), 1137-1152. https://doi.org/10.1007/s00707-012-0622-3
  17. Sharma, J.N. and Kaur, M. (2014), "Transverse vibrations in thermoelastic-diffusive thin micro-beam resonators", J. Therm. Stress., 37(11), 1265-1285. https://doi.org/10.1080/01495739.2014.936252
  18. Soh, A.K., Sun, Y. and Fang, D. (2008), "Vibration of microscale beam induced by laser pulse", J. Sound Vibr., 311(1), 243-253. https://doi.org/10.1016/j.jsv.2007.09.002
  19. Sun, Y., Fang, D., Saka, M. and Soh, A.K. (2008), "Laser-induced vibrations of micro-beams under different boundary conditions", J. Sol. Struct., 45(7), 1993-2013. https://doi.org/10.1016/j.ijsolstr.2007.11.006
  20. Sur, A. and Kanoria M. (2014), "Vibration of a gold nano-beam induced by ramp-type laser pulse under three-phase-lag model", J. Appl. Math. Mech., 10(5), 86-104.
  21. Tang, D.W. and Araki, N. (2000), "Non-fourier heat conduction behavior in finite mediums under pulse surface heating", Mater. Sci. Eng. A, 292(2), 173-178. https://doi.org/10.1016/S0921-5093(00)01000-5
  22. Toupin, R.A. (1962), "Elastic materials with couple-stresses", Arch. Ratio. Mech. Anal., 11(1), 385-414. https://doi.org/10.1007/BF00253945
  23. Voigt, W. (1887), "Theoretische studienuber die elasticitatsverhaltnisse der krystalle", Abh. Ges. Wiss. Gottingen, 34.
  24. Wang, X. and Xu, X. (2001), "Thermoelastic wave induced by pulsed laser heating", Appl. Phys. A, 73(1), 107-114. https://doi.org/10.1007/s003390000593
  25. Yaghoub, T.B., Fahimeh, M. and Hamed, R. (2015), "Free vibration analysis of size-dependent shear deformable functionally graded cylindrical shell on the basis of modified couple stress theory", Compos. Struct., 120, 65-78. https://doi.org/10.1016/j.compstruct.2014.09.065
  26. Yang, F., Chong, A.C.M., Lam, D.C.C. and Tong, P. (2002), "Couple stress based strain gradient theory for elasticity", J. Sol. Struct., 39(10), 2731-2743. https://doi.org/10.1016/S0020-7683(02)00152-X
  27. Zenkour, A.M. and Abouelregal, A.E. (2015), "The fractional effects of a two-temperature generalized thermoelastic semiinfinite solid induced by pulsed laser heating", Arch. Mech., 67(1), 53-73.
  28. Zenkour, A.M. and Abouelregal, A.E. (2015), "Thermoelastic vibration of an axially moving microbeam subjected to sinusoidal pulse heating", J. Str. Stab. Dyn., 15(6), 1-15.