Application of the generalized Hooke's law for viscoelastic materials (GHVMs) in nanoscale mass sensing applications of viscoelastic nanoplates: A theoretical study
| Autor: | Sh. Hosseini-Hashemi, K. Rajabi |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Materials science
Mechanical Engineering Hooke's law General Physics and Astronomy 02 engineering and technology Mechanics Elasticity (physics) 021001 nanoscience & nanotechnology Orthotropic material Viscoelasticity symbols.namesake 020303 mechanical engineering & transports Classical mechanics 0203 mechanical engineering Creep Mechanics of Materials symbols General Materials Science Boundary value problem Standard linear solid model 0210 nano-technology Kirchhoff–Love plate theory |
| Zdroj: | European Journal of Mechanics - A/Solids. 67:71-83 |
| ISSN: | 0997-7538 |
| DOI: | 10.1016/j.euromechsol.2017.08.015 |
| Popis: | Reviewing the literature reveals that in all previous research works related to the damped vibration analysis of nanoplates except (Rajabi and Hosseini-Hashemi, 2017a), the material damping of nanoplates has been represented by the Kelvin-Voigt model without any reasonable justification. The Kelvin-Voigt model has no instantaneous elasticity in creep and also shows unrealistic behavior in relaxation. Due to these drawbacks, the Kelvin-Voigt model fails to capture time domain characteristics of viscoelastic solid materials correctly. On the other hand, the Zener model can predict both creep and relaxation functions of a viscoelastic solid material well in the time domain. In the present paper based on the combination of generalized Hooke's law for viscoelastic materials (GHVMs) and the nonlocal elasticity theory, a general 2-D theory of nonlocal viscoelasticity is obtained. A nanoscale mass-sensor is proposed based on the damped vibration analysis of a viscoelastic orthotropic Kirchhoff-Love nanoplate. The material damping of the nanoplate is represented by the Zener model for illustration purposes. For simply supported boundary conditions, analytical expression is obtained for the eigenfrequencies of the sensor. |
| Databáze: | OpenAIRE |
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