Thermo-elastic Damping in Nano-beam Resonators Based on Nonlocal Theory

Khanchehgardan, Ali; Shah-Mohammadi-Azar, A.; Rezazadeh, Ghader; Shabani, Rasoul

doi:10.5829/idosi.ije.2013.26.12c.11

Cited by 11 publications

(5 citation statements)

References 31 publications

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“…While we have considered the parameters of the different components of the granite in an effort to construct a macroscopic heterogeneous model subjected to thermo-mechanical coupling loads, we neglected the mechanical characteristics at the microscopic scale. Through the references [ 40 , 41 , 42 , 43 , 44 ], it may be observed that the study of thermo-mechanical coupling under microstructures tends to focus on the mechanical properties of microstructures using the theory of nonlocal elasticity, by combining intermolecular or interatomic bonds into their specific intrinsic structural relationships. Further study in this area would increase the validity of the model.…”

Section: Numerical Applicationsmentioning

confidence: 99%

Thermo-Mechanical Coupling Model of Bond-Based Peridynamics for Quasi-Brittle Materials

et al. 2022

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The mechanical properties of quasi-brittle materials, which are widely used in engineering applications, are often affected by the thermal condition of their service environment. Moreover, the materials appear brittle when subjected to tensile loading and show plastic characteristics under high pressure. These two phenomena manifest under different circumstances as completely different mechanical behaviors in the material. To accurately describe the mechanical response, the material behavior, and the failure mechanism of quasi-brittle materials with the thermo-mechanical coupling effect, the influence of the thermal condition is considered in calculating bond forces in the stretching and compression stages, based on a new bond-based Peridynamic (BB-PD) model. In this study, a novel bond-based Peridynamic, fully coupled, thermo-mechanical model is proposed for quasi-brittle materials, with a heat conduction component to account for the effect of the thermo-mechanical coupling. Numerical simulations are carried out to demonstrate the validity and capability of the proposed model. The results reveal that agreement could be found between our model and the experimental data, which show good reliability and promise in the proposed approach.

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Section: Numerical Applicationsmentioning

confidence: 99%

Thermo-Mechanical Coupling Model of Bond-Based Peridynamics for Quasi-Brittle Materials

et al. 2022

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“…For example, Attia andMahmoud (2016, 2017), Attia (2017), and Barati (2018a, 2018b) have investigated some interesting problems of functionally graded nanobeams under different conditions by using the nonlocal and couple stress elasticity theory simultaneously. Khanchehgardan et al (2013) studied TED in Euler-Bernoulli nanobeam resonators based on nonlocal elasticity theory. A general formulation of the quality factor considering composite micro/nanobeams in the air environment under nonlocal theory has been derived by Nazemzadeh and Bakhtiari-Nejad (2015).…”

Section: Introductionmentioning

confidence: 99%

“…Khanchehgardan et al (2013) studied TED in Euler–Bernoulli nanobeam resonators based on nonlocal elasticity theory. A general formulation of the quality factor considering composite micro/nanobeams in the air environment under nonlocal theory has been derived by Nazemzadeh and Bakhtiari-Nejad (2015).…”

Section: Introductionmentioning

confidence: 99%

Size-dependent thermoelastic damping analysis in nanobeam resonators based on Eringen’s nonlocal elasticity and modified couple stress theories

Kumar

Mukhopadhyay

2022

Journal of Vibration and Control

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Thermoelastic damping has emerged as a critical issue in the modeling and design of micro and nanomechanical systems. Therefore, an extensive research interest is being devoted towards the reduction in thermoelastic damping for micro and nanomechanical systems. The present study intends to examine thermoelastic damping in nanobeam resonators using the modified couple stress theory and Eringen’s nonlocal elasticity theory, thus so-called modified nonlocal couple stress theory within the context of the recently proposed Moore–Gibson–Thompson thermoelasticity theory. In order to observe size effects, the size-dependent coupled thermoelastic equations are derived by combining modified couple stress theory and nonlocal elasticity theory in the frame of Moore–Gibson–Thompson thermoelasticity. The coupled governing equations for thermoelastic damping of nanobeam resonators are solved analytically in terms of the inverse quality factor. The size-dependent thermoelastic damping of nanobeams is presented graphically with the help of numerical results predicted by modified nonlocal couple stress theory. The results obtained under the combined effects of modified couple stress theory and nonlocal theory in the present context are further compared to those of the classical, modified couple stress, and nonlocal elasticity theories as special cases of the modified nonlocal couple stress theory. It is observed that thermoelastic damping weakens at the submicron scale under Eringen’s nonlocal elasticity theory, whereas it becomes greater at the submicron scale under modified couple stress theory. However, at the submicron scale, the modeling of nanobeam resonators using modified nonlocal couple stress theory reveals a smaller amount of thermoelastic damping than modified couple stress, nonlocal, and classical theories. In addition, as compared to the Green–Naghdi thermoelasticity theory of type III (GN-III), the Moore–Gibson–Thompson model predicts a higher thermoelastic damping value, while agreeing with the results predicted by the Lord–Shulman (LS) model under modified nonlocal couple stress theory. Some important points highlighted here are believed to be useful in the design of mechanical resonators at micron and submicron scales.

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“…(2011) presented how the geometrical effects influence TED in MEMS resonators using a finite element-based method. Khanchehgardan et al. (2013) studied TED in nano-beam resonators based on nonlocal theory and more recently Maroofi et al.…”

Section: Introductionmentioning

confidence: 99%

Study and control of thermoelastic damping of in-plane vibration of the functionally graded nano-plate

Rahimi

Sumelka

Ahmadi

et al. 2019

Journal of Vibration and Control

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The phenomenon of thermoelastic damping (TED) is a well-known mechanism of structural damping in which a vibrating thermoelastic structure obeys energy dissipation caused by the irreversible heat conduction in its volume. TED can be listed as common intrinsic losses and it cannot be controlled as easily as extrinsic losses thus this subject appears to be a very attractive research field. In this study TED of in-plane vibration of a functionally graded material (FGM) nano-plate has been studied based on the Eringen nonlocal theory. The effects of main parameters such as ambient temperature, length, and width of the nano-plate, the nonlocal parameter and the material gradient on the quality factor (Q) have been investigated. Also, the effect of different combinations of ceramic and metal in an FGM plate on increasing Q and subsequently reduction of the dissipated energy due to thermal effects has been illustrated.

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Thermo-elastic Damping in Nano-beam Resonators Based on Nonlocal Theory

Cited by 11 publications

References 31 publications

Thermo-Mechanical Coupling Model of Bond-Based Peridynamics for Quasi-Brittle Materials

Thermo-Mechanical Coupling Model of Bond-Based Peridynamics for Quasi-Brittle Materials

Size-dependent thermoelastic damping analysis in nanobeam resonators based on Eringen’s nonlocal elasticity and modified couple stress theories

Study and control of thermoelastic damping of in-plane vibration of the functionally graded nano-plate

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