Thermoelastic damping in micro and nano-mechanical resonators utilizing entropy generation approach and heat conduction model with a single delay term

Zhong, 2017, Thermoelastic damping in functionally graded microbeam resonators, IEEE Sensors J, 17, 3381, 10.1109/JSEN.2017.2694550

Zotov, 2014, Shkel AM. Quality factor maximization through dynamic balancing of tuning fork resonator, IEEE Sensors J, 8, 2706, 10.1109/JSEN.2014.2314614

Kim, 2011, Quality factors for the nano-mechanical tubes with thermoelastic damping and initial stress, J Sound Vib, 330, 1393, 10.1016/j.jsv.2010.10.015

Metcalf, 2009, Thermoelastic damping in micromechanical resonators, Appl Phys Lett, 95, 061903, 10.1063/1.3190509

Lifshitz, 2000, Thermoelastic damping in micro- and nanomechanical systems, Phys Rev B, 61, 5600, 10.1103/PhysRevB.61.5600

Hao, 2009, A thermal-energy method for calculating thermoelastic damping in micromechanical resonators, J Sound Vib, 322, 870, 10.1016/j.jsv.2008.12.005

Basak, 2010, Decoupled three-dimensional finite element computation of thermoelastic damping using zener’s approximation, Meccanica, 46, 371, 10.1007/s11012-010-9318-8

Vallabhaneni, 2011, Observation of nonclassical scaling laws in the quality factors of cantilevered carbon nanotube resonators, J Appl Phys, 110, 034312, 10.1063/1.3611396

Jiang, 2004, Intrinsic energy loss mechanisms in a cantilevered carbon nanotube beam oscillator, Phys Rev Lett, 93, 185501, 10.1103/PhysRevLett.93.185501

Zener, 1937, Internal friction in solids. I. Theory of internal friction in reeds, Phys Rev, 52, 230, 10.1103/PhysRev.52.230

Zener, 1938, Internal friction in solids II. General theory of thermoelastic internal friction, Phys Rev, 53, 90, 10.1103/PhysRev.53.90

Green, 1991, A re-examination of the base postulates of thermomechanics, Proc R Soc Lond A, 432, 171, 10.1098/rspa.1991.0012

Green, 1992, On undamped heat waves in an elastic solid, J Therm Stress, 15, 253, 10.1080/01495739208946136

Green, 1993, Thermoelasticity without energy dissipation, J Elast, 31, 189, 10.1007/BF00044969

Kinra, 1994, A second-law analysis of thermoelastic damping, J Appl Mech, 61, 71, 10.1115/1.2901424

Tai, 2012, An entropy based analytical model for thermoelastic damping in micromechanical resonators, Appl Mech Mater, 159, 46, 10.4028/www.scientific.net/AMM.159.46

Tai, 2014, An analytical model for thermoelastic damping in microresonators based on entropy generation, J Vib Acoust, 136, 10.1115/1.4026890

Zhou, 2018, Thermoelastic damping in circular cross-section micro/nanobeam resonators with single-phase-lag time, Int J Mech Sci, 142, 583, 10.1016/j.ijmecsci.2018.05.024

Khisaeva, 2006, Thermoelastic damping in nanomechanical resonators with finite wave speeds, J Therm Stress, 29, 201, 10.1080/01495730500257490

Bostani, 2017, Thermoelastic damping in microbeam resonators based on modified strain gradient elasticity and generalized thermoelasticity theories, Acta Mech, 228, 1

Guo, 2012, Analysis of thermoelastic damping in micro-and nanomechanical resonators based on dual-phase-lagging generalized thermoelasticity theory, Int J Eng Sci, 60, 59, 10.1016/j.ijengsci.2012.04.007

Tzou, 1995, A unified approach for heat conduction from macro to micro-scales, J Heat Transf, 117, 8, 10.1115/1.2822329

Kumar, 2018, Effects of phase-lag on thermoelastic damping in micromechanical resonators, J Therm Stress, 41, 1115, 10.1080/01495739.2018.1469061

Choudhuri, 2007, On a thermoelastic three-phase-lag model, J Therm Stress, 30, 231, 10.1080/01495730601130919

Zamanian, 2010, Analysis of thermoelastic damping in microresonators by considering the stretching effect, Int J Mech Sci, 52, 1366, 10.1016/j.ijmecsci.2010.07.001

Guo, 2013, A finite element analysis of thermoelastic damping in vented MEMS beam resonators, Int J Mech Sci, 74, 73, 10.1016/j.ijmecsci.2013.04.013

Parayil, 2015, Analytical and numerical solutions for thick beams with thermoelastic damping, Int J Mech Sci, 94, 10, 10.1016/j.ijmecsci.2015.01.018

Rezazadeh, 2015, Thermoelastic damping in a nonlocal nano-beam resonator as NEMS based on the type III of green–naghdi theory (with energy dissipation), Int J Mech Sci, 92, 304, 10.1016/j.ijmecsci.2015.01.001

Parayil, 2018, A generalized model for thermoelastic damping in beams with mid-plane stretching nonlinearity, Int J Mech Sci, 135, 582, 10.1016/j.ijmecsci.2017.12.009

Zhou, 2018, Thermoelastic damping in circular cross-section micro/nanobeam resonators with single-phase-lag time, Int J Mech Sci, 142, 583, 10.1016/j.ijmecsci.2018.05.024

Youssef, 2015, Thermoelastic damping in nanomechanical resonators based on two-temperature generalized thermoelasticity theory, J Therm Stress, 38, 1345, 10.1080/01495739.2015.1073541

Chen, 2019, Evaluation of thermoelastic damping in micromechanical resonators with axial pretension: an analytical model accounting for two-dimensional thermal conduction, J Therm Stress, 22, 1

Guo, 2016, Distinctive features of thermoelastic dissipation in microbeam resonators at nanoscale, J Therm Stress, 39, 360, 10.1080/01495739.2015.1125653

Sharma, 2011, Thermoelastic damping and frequency shift in micro/nanoscale anisotropic beams, J Therm Stress, 34, 650, 10.1080/01495739.2010.550824

Zhang, 2016, Thermoelastic damping in micro-and nanomechanical beam resonators considering size effects, Int J Heat Mass Transf, 103, 783, 10.1016/j.ijheatmasstransfer.2016.07.044

Zhang, 2019, Effect of temperature dependent material properties on thermoelastic damping in thin beams, Int J Heat Mass Transf, 139, 1031, 10.1016/j.ijheatmasstransfer.2019.05.092

Kumar, 2019, Effects of phase lags on thermoelastic damping in micro-beam resonators, Int J Struct Stability Dyn, 31

Kumar, 2019, A study of thermoelastic damping in micromechanical resonators under unified generalized thermoelasticity formulation, Noise Vib Worldwide, 5

Zuo, 2016, Analytical modeling of thermoelastic damping in bilayered microplate resonators, Int J Mech Sci, 106, 128, 10.1016/j.ijmecsci.2015.12.009

Fang, 2017, Thermoelastic damping in rectangular microplate resonators with three-dimensional heat conduction, Int J Mech Sci, 133, 578, 10.1016/j.ijmecsci.2017.09.012

Liu, 2018, Theoretical analysis of thermoelastic damping in bilayered circular plate resonators with two-dimensional heat conduction, Int J Mech Sci, 135, 114, 10.1016/j.ijmecsci.2017.11.003

Zuo, 2019, Thermoelastic damping in trilayered microplate resonators, Int J Mech Sci, 151, 595, 10.1016/j.ijmecsci.2018.12.015

Ma, 2019, Thermoelastic damping in micromechanical circular plate resonators with radial pre-tension, J Therm Stress, 16, 1

Fang, 2013, Thermoelastic damping in the axisymmetric vibration of circular microplate resonators with two-dimensional heat conduction, J Therm Stress, 36, 830, 10.1080/01495739.2013.788406

Wang, 2019, Analysis of thermoelastic damping in bilayered rectangular microplate resonators with three-dimensional heat conduction, J Mech Sci Technol, 33, 1769, 10.1007/s12206-019-0329-7

Li, 2012, Thermoelastic damping in rectangular and circular microplate resonators, J Sound Vib, 331, 721, 10.1016/j.jsv.2011.10.005

Hossain, 2016, An investigation on thermoelastic damping of high-q ring resonators, Int J Mech Sci, 106, 209, 10.1016/j.ijmecsci.2015.12.023

Tai, 2019, Thermoelastic damping in the out-of-plane vibration of a microring resonator with rectangular cross-section, Int J Mech Sci, 151, 684, 10.1016/j.ijmecsci.2018.12.026

Zhou, 2019, Single-phase-lag thermoelastic damping models for rectangular cross-sectional micro-and nano-ring resonators, Int J Mech Sci, 3, 105132, 10.1016/j.ijmecsci.2019.105132

Tai, 2019, Entropy generation and thermoelastic damping in the in-plane vibration of microring resonators, Entropy, 21, 631, 10.3390/e21070631

Hossain, 2016, An investigation on thermoelastic damping of high-q ring resonators, Int J Mech Sci, 106, 209, 10.1016/j.ijmecsci.2015.12.023

Tai, 2019, Thermoelastic damping in the out-of-plane vibration of a microring resonator with rectangular cross-section, Int J Mech Sci, 151, 684, 10.1016/j.ijmecsci.2018.12.026

Li, 2016, Thermoelastic damping in microrings with circular cross-section, J Sound Vib, 361, 341, 10.1016/j.jsv.2015.09.051

Park, 2006, Bernoulli–euler beam model based on a modified couple stress theory, J Micromech Microeng, 16, 2355, 10.1088/0960-1317/16/11/015

Kong, 2009, Static and dynamic analysis of micro beams based on strain gradient elasticity theory, Int J Eng Sci, 47, 487, 10.1016/j.ijengsci.2008.08.008

Kong, 2008, The size-dependent natural frequency of bernoulli–euler micro-beams, Int J Eng Sci, 46, 427, 10.1016/j.ijengsci.2007.10.002

Rezazadeh, 2012, Thermoelastic damping in a micro-beam resonator using modified couple stress theory, Acta Mechanica, 223, 1137, 10.1007/s00707-012-0622-3

Şimşek, 2013, Bending and vibration of functionally graded microbeams using a new higher order beam theory and the modified couple stress theory, Int J Eng Sci, 64, 37, 10.1016/j.ijengsci.2012.12.002

Kakhki, 2016, An analytical solution for thermoelastic damping in a micro-beam based on generalized theory of thermoelasticity and modified couple stress theory, Appl Math Model, 40, 3164, 10.1016/j.apm.2015.10.019

Borjalilou, 2019, Small-scale thermoelastic damping in micro-beams utilizing the modified couple stress theory and the dual-phase-lag heat conduction model, J Therm Stress, 1, 1

Zhong, 2014, Thermoelastic damping in the size-dependent microplate resonators based on modified couple stress theory, J Microelectromech Syst, 24, 431, 10.1109/JMEMS.2014.2332757

Tsiatas, 2009, A new kirchhoff plate model based on a modified couple stress theory, Int J Solids Struct, 46, 2757, 10.1016/j.ijsolstr.2009.03.004

Zhong, 2014, Thermoelastic damping in the size-dependent microplate resonators based on modified couple stress theory, J Microelectromech Syst, 24, 431, 10.1109/JMEMS.2014.2332757

Kumar, 2019, Analysis of the quality factor of micro-beam resonators based on heat conduction model with a single delay term, J Therm Stress, 18, 1

Quintanilla, 2011, Some solutions for a family of exact phase-lag heat conduction problems, Mech Res Commun, 38, 355, 10.1016/j.mechrescom.2011.04.008

Guo, 2013, Thermo-elastic dissipation of microbeam resonators in the framework of generalized thermos-elasticity theory, J Therm Stress, 36, 1156, 10.1080/01495739.2013.818903

Yourgrau, 2013