Thermoelastic response of a microbeam embedded in visco-Pasternak’s medium based on GN-III model

References

• M. Nassar, Bending of a Circular Plate on a Linear Viscoelastic Foundation, Appl. Math. Model., vol. 5, no. 1, pp. 60–62, 1981.
   Web of Science ®Google Scholar
• M. Zaman, M. R. Taheri, and A. Alvappillai, Dynamic Response of a Thick Plate on Viscoelastic Foundation to Moving Loads, Int. J. Numer. Anal. Methods Geomech., vol. 15, no. 9, pp. 627–647, 1991.
   Web of Science ®Google Scholar
• L. Sun, Dynamic Response of Kirchhoff Plate on a Viscoelastic Foundation to Harmonic Circular Loads, J. Appl. Mech., vol. 70, no. 4, pp. 595–600, 2003.
   Web of Science ®Google Scholar
• Y.-H. Chen, Y.-H. Huang, and C.-T. Shih, Response of an Infinite Timoshenko Beam on a Viscoelastic Foundation to a Harmonic Moving Load, J. Sound Vib., vol. 241, no. 5, pp. 809–824, 2001.
   Web of Science ®Google Scholar
• M. Kargarnovin, D. Younesian, D. Thompson, and C. Jones, Response of Beams on Nonlinear Viscoelastic Foundations to Harmonic Moving Loads, Comput. Struct., vol. 83, pp. 1865–1877, 2005.
   Web of Science ®Google Scholar
• D. Younesian, M. Kargarnovin, D. Thompson, and C. Jones, Parametrically Excited Vibration of a Timoshenko Beam on Random Viscoelastic Foundation Subjected to a Harmonic Moving Load, Nonlinear Dyn., vol. 45, pp. 75–93, 2006.
   Web of Science ®Google Scholar
• E. Ghavanloo, F. Daneshmand, and M. Rafiei, Vibration and Instability Analysis of Carbon Nanotubes Conveying Fluid and Resting on a Linear Viscoelastic Winkler Foundation, Phys. E, vol. 42, pp. 2218–2224, 2010.
   Web of Science ®Google Scholar
• H. Ding, L.-Q. Chen, and S.-P. Yang, Convergence of Galerkin Truncation for Dynamic Response of Finite Beams on Nonlinear Foundations Under a Moving Load, J. Sound Vib., vol. 331, pp. 2426–2442, 2012.
   Web of Science ®Google Scholar
• C. Zhang and J. Wang, Interface Stress Redistribution in FRP-Strengthened Reinforced Concrete Beams Using a Three-Parameter Viscoelastic Foundation Model, Compos. B, vol. 43, pp. 3009–3019, 2012.
   Web of Science ®Google Scholar
• J. Jumel, S. Chauffaille, M. K. Budzik, M. E. R. Shanahan, and J. Guitard, Viscoelastic Foundation Analysis of Single Cantilevered Beam (SCB) Test Under Stationary Loading, Eur. J. Mech. A-Solid., vol. 39, pp. 170–179, 2013.
   Web of Science ®Google Scholar
• C. Zhang, H. Zhu, B. Shi, and L. Liu, Theoretical Investigation of Interaction between a Rectangular Plate and Fractional Viscoelastic Foundation, J. Rock Mech. Geotech. Eng., vol. 6, pp. 373–379, 2014.
   Google Scholar
• M. H. Kargarnovin and D. Younesian, Dynamics of Timoshenko Beams on Pasternak Foundation Under Moving Load, Mech. Res. Commun., vol. 31, pp. 713–723, 2004.
   Web of Science ®Google Scholar
• A. G. Arani, A. Shiravand, M. Rahi, and R. Kolahchi, Nonlocal Vibration of Coupled DLGS Systems Embedded on Visco-Pasternak Foundation, Phys. B, vol. 407, pp. 4123–4131, 2012.
   Web of Science ®Google Scholar
• A. G. Arani and M. A. Roudbari, Nonlocal Piezoelastic Surface Effect On The Vibration Of Visco-Pasternak Coupled Boron Nitride Nanotube System Under A Moving Nanoparticle, Thin Solid Films, vol. 542, no. 2, pp. 232–241, 2013.
   Web of Science ®Google Scholar
• Sh. H. Hashemi, H. Mehrabani, and A. Ahmadi-Savadkoohi, Exact Solution For Free Vibration Of Coupled Double Viscoelastic Graphene Sheets By Viscopasternak Medium, Compos. B, vol. 78, no. 1, pp. 377–383, 2015.
   Web of Science ®Google Scholar
• A. M. Zenkour, The Refined Sinusoidal Theory for FGM Plates on Elastic Foundations, Int. J. Mech. Sci., vol. 51, pp. 869–880, 2009.
   Web of Science ®Google Scholar
• A. E. Green and P. M. Naghdi, Thermoelasticity without Energy Dissipation, J. Elast., vol. 31, pp. 189–208, 1993.
   Web of Science ®Google Scholar
• F. L. Guo and G. A. Rogerson, Thermoelastic Coupling Effect on a Micro-Machined Beam Resonator, Mech. Res. Commun., vol. 30, pp. 513–518, 2003.
   Web of Science ®Google Scholar
• A. M. Zenkour, D. S. Mashat, and A. E. Abouelregal, The Effect Of Dual-Phase-Lag Model On Reflection Of Thermoelastic Waves In A Solid Half Space With Variable Material Properties, Acta Mech. Solida Sinica, vol. 26, no. 6, pp. 659–670, 2013.
   Web of Science ®Google Scholar
• A. M. Zenkour and I. A. Abbas, Thermal Shock Problem For A Fiber-Reinforced Anisotropic Half-Space Placed In A Magnetic Field Via G-N Model, Appl. Math. Comput., vol. 246, no. 1, pp. 482–490, 2014.
   Web of Science ®Google Scholar
• A. M. Zenkour, A. E. Abouelregal, K. A. Alnefaie, N. H. Abu-Hamdeh, and E. C. Aifantis, A Refined Nonlocal Thermoelasticity Theory For The Vibration Of Nanobeams Induced By Ramp-Type Heating, Appl. Math. Comput., vol. 248, no. 1, pp. 169–183, 2014.
   Web of Science ®Google Scholar
• I. A. Abbas and A. M. Zenkour, The Effect of Rotation and Initial Stress on Thermal Shock Problem for a Fiber-Reinforced Anisotropic Half-Space Using Green-Naghdi Theory, J. Comput. Theor. Nanosci., vol. 11, no. 2, pp. 331–338, 2014.
   Web of Science ®Google Scholar
• A. M. Zenkour and I. A. Abbas, Electro-Magneto-Thermo-Elastic Response Of Infinite Functionally Graded Cylinders Without Energy Dissipation, J. Magn. Magn. Mater., vol. 395, no. 1, pp. 123–129, 2015.
   Web of Science ®Google Scholar
• A. M. Zenkour, A. E. Abouelregal, K. A. Alnefaie, N. H. Abu-Hamdeh, A. A. Aljinaidi, and E. C. Aifantis, State Space Approach for the Vibration of Nanobeams Based on the Nonlocal Thermoelasticity Theory without Energy Dissipation, J. Mech. Sci. Technol., vol. 29, no. 7, pp. 2921–2931, 2015.
   Web of Science ®Google Scholar
• I. A. Abbas and A. M. Zenkour, The Effect of Magnetic Field on Thermal Shock Problem for a Fiber-Reinforced Anisotropic Half-Space Using Green-Naghdi’s Theory, J. Comput. Theor. Nanosci., vol. 12, no. 3, pp. 438–442, 2015.
   Google Scholar
• A. E. Abouelregal and A. M. Zenkour, Generalized Thermoelastic Vibration of a Microbeam with an Axial Force, Microsyst. Technol., vol. 21, no. 7, pp. 1427–1435, 2015.
   Web of Science ®Google Scholar
• Y. Sun and M. Saka, Thermoelastic Damping in Micro-Scale Circular Plate Resonators, J. Sound Vib., vol. 329, pp. 328–337, 2010.
   Web of Science ®Google Scholar