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Original Articles

Response of thermoelastic cylindrical cavity in a non-local infinite medium due to a varying heat source

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Pages 1725-1742 | Received 07 Dec 2019, Accepted 05 Oct 2020, Published online: 26 Oct 2020

References

  • Biot MA. Thermoelasticity and irreversible thermodynamics. J Appl Phys. 1956;27:240–253.
  • Lord HW, Shulman Y. A generalized dynamical theory of thermoelasticity. J Mech Phys Solids. 1967;15:299–309.
  • Tzou DY. A unified approach for heat conduction from macro- to micro-scales. J Heat Trans. 1995;117:8–16.
  • Tzou DY. Macr o to micro-scale heat transfer: The Lagging behavior. DC (Washington): Taylor and Francis; 1996.
  • Hetnarski RB, Ignaczak J. Generalized thermoelasticity. J Therm Stress. 1999;22(4):451–476.
  • Eringen AC. Screw dislocation in non-local elasticity. J Physics D: Appl Phys. 1977;10(5):671–678.
  • Eringen AC. Non-local continuum field theories. Berlin Heidelberg: Springer-Verlag New York; 2002.
  • Nejad MZ, Hadi A, Farajpour A. Consistent couple stress theory for free vibration analysis of EulerBernoulli nano-beams made of arbitrary bi-directional functionally graded materials. Struct Eng Mech. 2017;63(2):161–169.
  • Hadi A, Nejad MZ, Rastgoo A, et al. Buckling analysis of FGM Euler-Bernoulli nano-beams with 3D-varying properties based on consistent couplestress theory. Steel Compos Struct. 2018;26(6):663–672.
  • Hakamiha S, Mojahedi M. Nonlinear analysis of microswitches considering nonclassical theory. Int J Appl Mech. 2017;09(08):1750113.
  • Eringen AC. Linear theory of non-local elasticity and dispersion of plane waves. Int J Eng Science. 1972;10(5):425–435.
  • Nejad MZ, Hadi A. Eringen's non-local elasticity theory for bending analysis of bi-directional functionally graded Euler–Bernoulli nano-beams. Int J Eng Science. 2016;106:1–9.
  • Farajpour M, Shahidi A, Hadi A, et al. Influence of initial edge displacement on the nonlinear vibration, electrical and magnetic instabilities of magneto-electro-elastic nanofilms. Mech Advan Mater Struct. 2019;26(17):1469–1481.
  • Gurtin M, Markenscoff X, Thurston R. Effect of surface stress on the natural frequency of thin crystals. Appl Phy Lett. 1976;29(9):529–530.
  • Lazar M, Maugin GA, Aifantis EC. Dislocations in second strain gradient elasticity. Int J Solids Struct. 2006;43(6):1787–1817.
  • Zhu HT, Zbib H, Aifantis EC. Strain gradients and continuum modeling of size effect in metal matrix composites. Acta Mech. 1997;121(1-4):165–176.
  • Hosseini M, Shishesaz M, Tahan KN, et al. Stress analysis of rotating nano-disks of variable thickness made of functionally graded materials. Int J Eng Science. 2016;109:29–53.
  • Hosseini M, Gorgani HH, Shishesaz M, et al. Size-Dependent stress analysis of single-wall carbon nanotube based on strain gradient theory. Int J Appl Mech. 2017;9(06):1750087.
  • Kumar R, Miglani A, Rani R. Transient analysis of nonolocal microstretch thermoelastic thick circular plate with phase lags. Med J Model Simul. 2018;09:025–042.
  • Zenkour AM, Abouelregal AE. Thermoelastic vibration of temperature-dependent nanobeams due to rectified sine wave heating-a state space approach. J Appl Comput Mech. 2019;5(2):299–310.
  • Abouelregal AE. Rotating magneto-thermoelastic rod with finite length due to moving heat sources via Eringen’s non-local model. J Comput Appl Mech. 2019;50(1):118–126.
  • Abouelregal AE, Zenkour AM. Non-local thermoelastic semi-infinite medium with variable thermal conductivity due to a laser short-pulse. J Comput Appl Mech. 2019;50(1):90–98.
  • Lim C, Zhang G, Reddy J. A higher-order non-local elasticity and strain gradient theory and its applications in wave propagation. J Mech Phys Solids. 2015;78:298–313.
  • Wang J, Dhaliwal RS. Uniqueness in generalized non-local thermoelasticity. J Therm Stress. 1993;16:71–77.
  • Zenkour AM, Abouelregal AE. Nonlinear effects of thermo-sensitive nanobeams via a non-local thermoelasticity model with relaxation time. Microsys Techn. 2016;22(10):2407–2415.
  • Sharma S, Sharma K. Influence of heat sources and relaxation times on temperature distribution in tissues. Int. J of Appl Mech Engg. 2014;19(2):427–433.
  • Kumar R, Vashishth AK, Ghangas S. Non-local heat conduction approach in a bi-layer tissue during magnetic fluid hyperthermia with dual phase lag model. Bio-Med Mater Engin. 2019;30(4):387–402.
  • Kumar R, Rani R, Miglani A. A problem of axisymmetric vibration of non-local microstretch thermoelastic circular plate with thermomechanical sources. J Solid Mech. 2019;11(1):1–13.
  • Abouelregal AE, Marin M. The size-dependent thermoelastic vibrations of nanobeams subjected to harmonic excitation and rectified sine wave heating. Mathematics. 2020;8(7):1128.
  • Abouelregal AE. A novel model of non-local thermoelasticity with time derivatives of higher order. Math Methods Appl Sci. 2020;43:6746–6760.
  • Dahab SMA, Abouelregal AE, Ahmad H. Fractional heat conduction model with phase lags for a half-space with thermal conductivity and temperature dependent. Math Meth Appl Sci. 2020. doi:https://doi.org/10.1002/mma.6614.
  • Singh D, Kaur G, Tomar SK. Waves in non-local elastic solid with voids. J Elast. 2017;128(1):85–114.
  • Sarkar N, Mondal S. Transient responses in a two-temperature thermoelastic infinite medium having cylindrical cavity due to moving heat source with memory-dependent derivative. Z Angew Math Mech. 2019;99:e201800343. doi:https://doi.org/10.1002/zamm.201800343.
  • Stehfest H. Algorithm 368: numerical inversion of laplace transforms [d5]. Commun ACM. 1970;13:47–49.
  • Gaver DP. Observing stochastic processes and approximate transform inversion. Oper Res. 1966;14(3):444–459.
  • Hassanzadeh H, Darvish MP. Comparison of different numerical Laplace inversion methods for engineering applications. Appl Math Comput. 2007;189(2):1966–1981.
  • Bai B, Li T. Solutions for cylindrical cavity in saturated thermoporoelastic medium. Acta Mech Solida Sin. 2009;22(1):85–94.
  • Abouelregal AE, Zenkour AM. Fractional viscoelastic Voigt’s model for initially stressed microbeams induced by ultrashort laser heat source. Waves Rand Comp Media. 2020;30:687–703.
  • Ansari R, Gholami R, Sahmani S. Free vibration analysis of size-dependent functionally graded microbeams based on the strain gradient Timoshenko beam theory. Compos Struct. 2011;94:221–228.
  • Othman M, Abouelregal AE. Magnetothermoelastic interactions in non-simple medium with a spherical cavity due to time-harmonic varying heat. Multidiscipline Model Mat Struct. 2019;15(5):932–946.

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