References
- 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.
- 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
- Cosserat, E. and Cosserat, F. (1909), Theory of Deformable Bodies, Hermann et Fils, Paris, France.
- Daliwal, R.S. and Singh, A. (1980), Dynamical Coupled Thermoelasticity, Hindustan Publishers, Delhi, India.
- 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
- EI-Sirafy, I.H., Abdou, M.A. and Awad, E. (2014), "Generalized lagging response of thermoelastic beams", Math. Prob. Eng., 1-13.
- 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.
- 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
- Koiter, W.T. (1964), "Couple-stresses in the theory of elasticity", Proc. R. Neth. Acad. Sci., 67, 17-44.
- Mindlin, R.D. (1964), "Micro-structure in linear elasticity", Arch. Ratio. Mech. Anal., 16(1), 51-78. https://doi.org/10.1007/BF00248490
- 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
- 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
- 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
- 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
- Rao, S.S. (2007), Vibrations of Continuous Systems, John Wiley & Sons, New York, U.S.A.
- 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
- 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
- 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
- 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
- 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.
- 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
- Toupin, R.A. (1962), "Elastic materials with couple-stresses", Arch. Ratio. Mech. Anal., 11(1), 385-414. https://doi.org/10.1007/BF00253945
- Voigt, W. (1887), "Theoretische studienuber die elasticitatsverhaltnisse der krystalle", Abh. Ges. Wiss. Gottingen, 34.
- 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
- 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
- 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
- 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.
- 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.