1.1 Introduction
9
Ajri et al. [60] studied the non-stationary free vibration and nonlinear behaviour
of the viscoelastic nanoplates by employing the consistent couple stress theory. The
plate material obeyed the Leaderman integral constitutive relation. The governing
nonlinear second-order integral-partial differential equations were yielded by the
Hamilton principle. The frequency and nanofrequency responses were presented. It
was also demonstrated the amplitude-dependent damping mechanism.
1.1.2.2 Thermal Environment
Pelevic and Meer [61] investigated numerically heat transfer performed by flow over
a plate surface with carbon nanofibers. The lattice Boltzmann model was employed.
The obtained results exhibited a substantial heat transfer enhancement for a densely
covered surface with carbon nanofibers of varying length.
Khorshidi et al. [62] determined the free vibration assessment of functionally
graded rectangular nanoplates. The concept of nonlocal elasticity predicated on the
idea of exponential shear deformation was applied to acquire the nanoplate’s natural
frequencies. In the principle of exponential shear deformation, exponential functions
have been used to provide the effect of transverse shear deformation and rotating
inertia in terms of thickness coordinates. The concept of nanolocal elasticity was
employed to scrutinize the effect of the small scale on the natural frequency of the
orthogonal nanoplate graded functionally. By enforcing the Hamilton concept, the
governing equations and the corresponding boundary conditions were extracted.
Hosseini and Jamalpoor [63] used Eringen’s nonlocal elasticity theory to illustrate
the dynamic characteristics of a viscoelastic nanoplate-system subjected to temperature change. Two Kirchhoff nanoplates were combined with an internal viscoelastic
medium of Kelvin-Voight and were restricted to the external elastic Pasternak’s foundation. In addition, the effects of viscoelastic structural damping, higher order modes
and damping coefficient of the viscoelastic medium on vibration characteristics were
analysed. Numerical results suggested that surface elastic modulus and leftover surface stress significantly influenced natural frequency.
Mahmoud et al. [64] presented a new series of nanoplate nanocomposites made
from polyazomethine/graphene in the form of PAMs/GNP. Pure PAMS and PAMs/
GNP nanocomposites were also defined by available characterization methods, such
as X-ray diffraction, scanning electron microscopy and conductivity tests. Pure PAMs
and PAMs/GNP nanocomposites were thermally degraded in two steps. The degradation steps relied on the nature of the needed nanocomposites that was primarily
connected to the decomposition of the content of pure PAMS. In addition, SEM
images provided more convincing evidence for the structure of nanocomposites.
Malikan [65] studied the buckling analysis of the orthogonal nanoplate with different boundary conditions using the couple stress continuum. The simplified principle
of first-order shear deformation was employed. The governing differential equations
were yielded by the Hamilton principle. The results received were compared with
molecular dynamic simulation.
9
Ajri et al. [60] studied the non-stationary free vibration and nonlinear behaviour
of the viscoelastic nanoplates by employing the consistent couple stress theory. The
plate material obeyed the Leaderman integral constitutive relation. The governing
nonlinear second-order integral-partial differential equations were yielded by the
Hamilton principle. The frequency and nanofrequency responses were presented. It
was also demonstrated the amplitude-dependent damping mechanism.
1.1.2.2 Thermal Environment
Pelevic and Meer [61] investigated numerically heat transfer performed by flow over
a plate surface with carbon nanofibers. The lattice Boltzmann model was employed.
The obtained results exhibited a substantial heat transfer enhancement for a densely
covered surface with carbon nanofibers of varying length.
Khorshidi et al. [62] determined the free vibration assessment of functionally
graded rectangular nanoplates. The concept of nonlocal elasticity predicated on the
idea of exponential shear deformation was applied to acquire the nanoplate’s natural
frequencies. In the principle of exponential shear deformation, exponential functions
have been used to provide the effect of transverse shear deformation and rotating
inertia in terms of thickness coordinates. The concept of nanolocal elasticity was
employed to scrutinize the effect of the small scale on the natural frequency of the
orthogonal nanoplate graded functionally. By enforcing the Hamilton concept, the
governing equations and the corresponding boundary conditions were extracted.
Hosseini and Jamalpoor [63] used Eringen’s nonlocal elasticity theory to illustrate
the dynamic characteristics of a viscoelastic nanoplate-system subjected to temperature change. Two Kirchhoff nanoplates were combined with an internal viscoelastic
medium of Kelvin-Voight and were restricted to the external elastic Pasternak’s foundation. In addition, the effects of viscoelastic structural damping, higher order modes
and damping coefficient of the viscoelastic medium on vibration characteristics were
analysed. Numerical results suggested that surface elastic modulus and leftover surface stress significantly influenced natural frequency.
Mahmoud et al. [64] presented a new series of nanoplate nanocomposites made
from polyazomethine/graphene in the form of PAMs/GNP. Pure PAMS and PAMs/
GNP nanocomposites were also defined by available characterization methods, such
as X-ray diffraction, scanning electron microscopy and conductivity tests. Pure PAMs
and PAMs/GNP nanocomposites were thermally degraded in two steps. The degradation steps relied on the nature of the needed nanocomposites that was primarily
connected to the decomposition of the content of pure PAMS. In addition, SEM
images provided more convincing evidence for the structure of nanocomposites.
Malikan [65] studied the buckling analysis of the orthogonal nanoplate with different boundary conditions using the couple stress continuum. The simplified principle
of first-order shear deformation was employed. The governing differential equations
were yielded by the Hamilton principle. The results received were compared with
molecular dynamic simulation.