Nonlocal effects in a functionally graded thermoelastic layer due to volumetric absorption laser

References

• Eringen AC. Nonlocal continum field theories. New York: Springer Verlag; 2002.
   Google Scholar
• Edelen DGB, Green AE, Lows N. Nonlocal continuum mechanics. Arch Ration Mech Anal. 1971;43:36–44.
   Web of Science ®Google Scholar
• Eringen AC, Edelen DGB. On nonlocal elasticity. Int J Eng Sci. 1972;10(3):233–248.
   Web of Science ®Google Scholar
• Farajpour A, Ghayesh MH, Farokhi H. A review on the mechanics of nanostructures. Int J Eng Sci. 2018;133:231–263.
   Web of Science ®Google Scholar
• Srinivasa AR, Reddy J. An overview of theories of continuum mechanics with nonlocal elastic response and a general framework for conservative and dissipative systems. Appl Mech Rev. 2017;69(3):031401.
   Web of Science ®Google Scholar
• Eringen AC. A unified theory of thermomechanical materials. Int J Eng Sci. 1966;4(2):179–202.
   Google Scholar
• Zhu X, Li L. Longitudinal and torsional vibrations of size-dependent rods via nonlocal integral elasticity. Int J Mech Sci. 2017;133:639–650.
   Web of Science ®Google Scholar
• Xu X-J, Zheng M-L, Wang X-C. On vibrations of nonlocal rods: boundary conditions, exact solutions and their asymptotics. Int J Eng Sci. 2017;119:217–231.
   Web of Science ®Google Scholar
• Fernandes R, El-Borgi S, Mousavi S, et al. Nonlinear size-dependent longitudinal vibration of carbon nanotubes embedded in an elastic medium. Phys E: Low-dimensional Syst Nanostructures. 2017;88:18–25.
   Web of Science ®Google Scholar
• Li L, Hu Y, Li X. Longitudinal vibration of size-dependent rods via nonlocal strain gradient theory. Int J Mech Sci. 2016;115:135–144.
   Web of Science ®Google Scholar
• Sahmani S, Aghdam MM. Size-dependent nonlinear bending of micro/nano-beams made of nanoporous biomaterials including a refined truncated cube cell. Phys Lett A. 2017;381(45):3818–3830.
   Web of Science ®Google Scholar
• Lu L, Guo X, Zhao J. Size-dependent vibration analysis of nanobeams based on the nonlocal strain gradient theory. Int J Eng Sci. 2017;116:12–24.
   Web of Science ®Google Scholar
• Romano G, Barretta R. Stress-driven versus strain-driven nonlocal integral model for elastic nano-beams. Composites Part B: Eng. 2017;114:184–188.
   Web of Science ®Google Scholar
• Li L, Tang H, Hu Y. The effect of thickness on the mechanics of nanobeams. Int J Eng Sci. 2018;123:81–91.
   Web of Science ®Google Scholar
• Murmu T, McCarthy M, Adhikari S. In-plane magnetic field affected transverse vibration of embedded single-layer graphene sheets using equivalent nonlocal elasticity approach. Compos Struct. 2013;96:57-63.
   Web of Science ®Google Scholar
• Ebrahimi F, Barati MR, Dabbagh A. A nonlocal strain gradient theory for wave propagation analysis in temperature-dependent inhomogeneous nanoplates. Int J Eng Sci. 2016;107:169–182.
   Web of Science ®Google Scholar
• Karami B, Shahsavari D, Janghorban M, et al. Wave dispersion of mounted graphene with initial stress. Thin-Walled Struct. 2018;122:102–111.
   Web of Science ®Google Scholar
• Hu Y-G, Liew KM, Wang Q, et al. Nonlocal shell model for elastic wave propagation in single-and double-walled carbon nanotubes. J Mech Phys Solids. 2008;56(12):3475–3485.
   Web of Science ®Google Scholar
• Zeighampour H, Beni YT, Karimipour I. Wave propagation in double-walled carbon nanotube conveying fluid considering slip boundary condition and shell model based on nonlocal strain gradient theory. Microfluid Nanofluidics. 2017;21(5):85.
   Web of Science ®Google Scholar
• Mahinzare M, Mohammadi K, Ghadiri M. Size-dependent effects on critical flow velocity of a swcnt conveying viscous fluid based on nonlocal strain gradient cylindrical shell model. Microfluid Nanofluidics. 2017;21(7):123-.
   Web of Science ®Google Scholar
• Sur A. Non-local memory dependent heat conduction in a magneto-thermoelastic problem. Waves in Random and Complex Media. 2020; DOI:10.1080/17455030.2020.1770369.
   Web of Science ®Google Scholar
• Altan BS. Uniqueness in the linear theory of nonlocal elasticity. Bull Tech Univ Istanb. 1984;37:373–385.
   Google Scholar
• Eringen AC. On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. J Appl Phys. 1983;54:4703–4710.
   Web of Science ®Google Scholar
• Zhang P, He T. A generalized thermoelastic problem with nonlocal effect and memory-dependent derivative when subjected to a moving heat source. Waves in Random and Complex Media. 2019; DOI:10.1080/17455030.2018.1490043.
   Web of Science ®Google Scholar
• Monal S. Memory response in a magneto-thermoelastic rod with moving heat source based on Eringen's nonlocal theory under dual-phase lag heat conduction. Int J Comput Methods. 2019; DOI:10.1142/S0219876219500762.
   Web of Science ®Google Scholar
• Mondal S, Sarkar N, Sarkar N. Waves in dual-phase-lag thermoelastic materials with voids based on Eringen's nonlocal elasticity. J Therm Stress. 2019;42(8):1035–1050.
   Web of Science ®Google Scholar
• Bachher M, Sarkar N. Nonlocal theory of thermoelastic materials with voids and fractional derivative heat transfer. Waves in Random and Complex Media. 2019; DOI:10.1080/17455030.2018.1457230.
   Web of Science ®Google Scholar
• Sur A. A memory response on the elasto-thermodiffusive interaction subjected to rectangular thermal pulse and chemical shock. Mech Based Design of Struct Mach. 2020; DOI:10.1080/15397734.2020.1772086.
   Web of Science ®Google Scholar
• Sur A. Memory responses in a three-dimensional thermo-viscoelastic medium. Waves in Random and Complex Media. 2020; DOI:10.1080/17455030.2020.1766726.
   Web of Science ®Google Scholar
• Tzou DY. A unified approach for heat conduction from macro to micro-scales. ASME J Heat Transfer. 1995;117:8–16.
   Web of Science ®Google Scholar
• Sur A, Kanoria M. Field equations and corresponding memory responses for a fiber-reinforced functionally graded due to heat source. Mech Based Design of Struct Mach. 2019; DOI:10.1080/15397734.2019.1693897.
   Web of Science ®Google Scholar
• Sur A, Mondal S, Kanoria M. Influence of moving heat source on skin tissue in the context of two-temperature memory dependent heat transport law. J Therm Stress. 2020;43(1):55–71.
   Web of Science ®Google Scholar
• Mondal S, Sur A, Kanoria M. Photo-thermo-elastic wave propagation in a reinforced semiconductor due to memory responses in presence of magnetic field. Acta Mech. 2019; DOI:10.1007/s00707-019-02600-x.
   Google Scholar
• Mondal S, Sur A. Photo-thermo-elastic wave propagation in an orthotropic semiconductor with a spherical cavity and memory responses. Waves in Random and Complex Media. 2019; DOI:10.1080/17455030.2019.1705426.
   Web of Science ®Google Scholar
• Mondal S, Sur A, Kanoria M. Photo-thermo-elastic wave propagation under the influence of magnetic field in presence of memory responses. Mech Based Design of Struct Mach. 2019; DOI:10.1080/15397734.2019.1701493.
   Web of Science ®Google Scholar
• Mondal S, Sur A, Kanoria M. Thermoelastic response of fiber-reinforced epoxy composite under continuous line heat source. Waves in Random and Complex Media. 2019; DOI:10.1080/17455030.2019.1699675.
   Web of Science ®Google Scholar
• Purkait P, Sur A, Kanoria M. Magneto-thermoelastic interaction in a functionally graded medium under gravitational field. Waves in Random and Complex Media. 2019; DOI:10.1080/17455030.2019.1688891.
   Web of Science ®Google Scholar
• Tzou DY. A unified approach for heat conduction from macro to micro-scales. ASME J Heat Transf. 1995;117:8–16.
   Web of Science ®Google Scholar
• Wang JL, Li HF. Surpassing the fractional derivative: concept of the memory-dependent derivative. Computer & Math Appl. 2011;62(3):1562–1567.
   Web of Science ®Google Scholar
• El-Karamany AS, Ezzat MA. Thermoelastic diffusion with memory-dependent derivative. J Therm Stress. 2016;39(9):1035–1050.
   Web of Science ®Google Scholar
• Miyamoto Y, Kaysser WA, Rabin BH, et al. Functionally graded materials: design, processing and applications. New York: Springer Science & Business Media; 2013.
   Google Scholar
• Jha DK, Kant T, Singh RK. A critical review of recent research on functionally graded plates. Compos Struct. 2013;96:833–849.
   Web of Science ®Google Scholar
• Thai HT, Kim SE. A review of theories for the modeling and analysis of functionally graded plates and shells. Compos Struct. 2015;128:70–86.
   Web of Science ®Google Scholar
• Xu Y, Qian Y, Chen J, et al. Stochastic dynamic characteristics of FGM beams with random material properties. Compos Struct. 2015;133:585–594.
   Web of Science ®Google Scholar
• Shegokar NL, Lal A. Stochastic nonlinear bending response of piezoelectric functionally graded beam subjected to thermoelectromechanical loadings with random material properties. Compos Struct. 2013;100:17–33.
   Web of Science ®Google Scholar
• Shegokar NL, Lal A. Stochastic finite element nonlinear free vibration analysis of piezoelectric functionally graded materials beam subjected to thermo-piezoelectric loadings with material uncertainties. Meccanica. 2014;49(5):1039–1068.
   Web of Science ®Google Scholar
• Wu D, Gao W, Gao K, et al. Robust safety assessment of functionally graded structures with interval uncertainties. Compos Struct. 2017;180:664–685.
   Web of Science ®Google Scholar
• Talha M, Singh BN. Stochastic perturbation-based finite element for buckling statistics of FGM plates with uncertain material properties in thermal environments. Compos Struct. 2014;108:823–833.
   Web of Science ®Google Scholar
• Li K, Wu D, Gao W. Spectral stochastic isogeometric analysis for static response of FGM plate with material uncertainty. Thin-Walled Struct. 2018;132:504–521.
   Web of Science ®Google Scholar
• Tzou DY. Macro to micro-scale heat transfer: the lagging behavior. Washington DC: Taylor & Francis; 1996.
   Google Scholar
• Othman MIA, Sur A. Transient response in an elasto-thermo-diffusive medium in the context of memory dependent heat transfer. Waves in Random and Complex Media. 2020; DOI:10.1080/17455030.2020.1737758.
   Web of Science ®Google Scholar
• Sur A, Mondal S, Kanoria M. Memory response in the vibration of a micro-scale beam due to time-dependent thermal loading. Mech Based Design of Struct Mach. 2020; DOI:10.1080/15397734.2020.1745078.
   Web of Science ®Google Scholar
• Mondal S, Sur A, Kanoria M. A graded spherical tissue under thermal therapy : the treatment of cancer cells. Waves in Random and Complex Media. 2020; DOI:10.1080/17455030.2020.1779388.
   Web of Science ®Google Scholar
• Sur A, Mondal S. A generalized thermoelastic problem due to nonlocal effect in presence of mode I crack. J Therm Stress. 2020; DOI:10.1080/01495739.2020.1788475.
   Web of Science ®Google Scholar
• Sur A. Wave propagation analysis of porous asphalts on account of memory responses. Mech Based Design of Struct Mach. 2020; DOI:10.1080/15397734.2020.1712553.
   Web of Science ®Google Scholar
• Song Y, Todorovic DM, Cretin B, et al. Study on the generalized thermoelastic vibration of the optically excited semiconducting microcantilevers. Int J Solids Struct. 2010;47(14–15):1871–1875. DOI:10.1016/j.ijsolstr.2010.03.020.
   Web of Science ®Google Scholar
• Roy Choudhuri SK. On a thermoelastic three-phase-lag model. J Therm Stress. 2007;30:231–238.
   Web of Science ®Google Scholar
• Quintanilla R, Racke R. A note on stability in three-phase-lag heat conduction. J Heat Mass Transf. 2008;51:24–29.
   Web of Science ®Google Scholar
• Chiriţă S, Apice D, Zampoli V. The time differential three-phase-lag heat conduction model: thermodynamic compatibility and continuous dependence. Int J Heat Mass Transf. 2016;102:226–232.
   Web of Science ®Google Scholar
• Quintanilla R. Spatial behaviour of solutions of the three-phase-lag heat equation. Appl Math Comput. 2009;213:153–162.
   Web of Science ®Google Scholar
• Tayel IM. Generalized functionally graded thermoelastic layer under the effect of volumetric absorption of laser radiation. Mech Based Design of Struct Mach. 2020; DOI:10.1080/15397734.2020.1814155.
   Web of Science ®Google Scholar