Journal ArticleDOI
Nonlocal thermoelasticity theory without energy dissipation for nano-machined beam resonators subjected to various boundary conditions
TLDR
In this article, a model of nonlocal thermoelasticity theory of Green and Naghdi without energy dissipation is used to consider the vibration behavior of a nano-machined resonator.Abstract:
A model of nonlocal thermoelasticity theory of Green and Naghdi without energy dissipation is used to consider the vibration behavior of a nano-machined resonator. The nonlocality brings in an internal length scale in the formulation and, thus, allows for the interpretation of size effects. The governing frequency equation is given for nanobeams subjected to different boundary conditions. A combination of simply-supported, clamped, and free boundary conditions is investigated. The effect of side-to-thickness and aspect ratios, as well as the influence of either nonlocal parameter or thermoelastic coupling are all investigated. In addition, the effect of environmental temperature T0 on the vibration frequency is also investigated.read more
Citations
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Analytical solutions of nonlocal coupled thermoelastic forced vibrations of micro-/nano-beams by means of Green's functions
TL;DR: In this article, analytical solutions of coupled thermoelastic forced vibrations of micro-nano-beams based on Rayleigh beam theory and Eringen nonlocal elasticity theory are derived.
Journal ArticleDOI
Nonlocal transient thermal analysis of a single-layered graphene sheet embedded in viscoelastic medium
TL;DR: In this article, the transient thermal analysis of a single-layered graphene sheet (SLGS) embedded in viscoelastic medium is presented by using the nonlocal elasticity theory.
Journal ArticleDOI
On non-linear vibrations of flexoelectric nanobeams
TL;DR: In this paper, the nonlinear vibration problem of flexoelectric nanobeams with surface and thermal effects is investigated, and the flexolectricity effect is interpreted as the strain gradient-electrical polarization coupling.
Journal ArticleDOI
Theoretical analysis of thermoelastic damping of silver nanobeam resonators based on Green–Naghdi via nonlocal elasticity with surface energy effects
Abstract: The vibration of a silver nanobeam resonator, considering the surface effect as well as the thermal effect has been investigated in this paper. The emerged bending in nanobeam resonator causes the surface effects to appear in nanobeam. The governing equations for nanobeam are obtained considering the surface and thermal effects and using the nonlocal elasticity theory. The temperature effects based on the Green–Naghdi thermoelasticity theory, and considering the thermoelastic damping, are taken into account. The vibration governing equations are derived by the coupled Green–Naghdi thermoelastic, nonlocal elasticity theory, and surface effect for Euler–Bernoulli beam model. The dynamic and temperature responses of the nanobeam are obtained in the Laplace domain using the Laplace method. The technique of inverse Laplace, called a Talbot method, is utilized to calculate the dynamic and thermal responses of the nanobeam in the time domain. To investigate the results, the effects of the various parameters, such as the surface effects, nonlocal parameter, and the initial temperature conditions, on the dynamic and temperature responses of the microbeam are scrutinized.
Journal ArticleDOI
Thermo-electro-magneto-mechanical bending behavior of size-dependent sandwich piezomagnetic nanoplates
TL;DR: In this article, a thermodynamic analysis of a sandwich nanoplate is presented based on Kirchhoff's plate theory and non-local theory, which includes an elastic nano-core and two piezomagnetic face-sheets actuated by applied electric and magnetic potentials.
References
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Journal ArticleDOI
On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves
TL;DR: In this article, the integropartial differential equations of the linear theory of nonlocal elasticity are reduced to singular partial differential equations for a special class of physically admissible kernels.
Journal ArticleDOI
On nonlocal elasticity
TL;DR: In this article, a theory of non-local elasticity is presented via the vehicles of global balance laws and the second law of thermodynamics via the use of a localized Clausius-Duhem inequality and a variational statement of Gibbsian global thermodynamics.
Book
Nonlocal Continuum Field Theories
AC Eringen,JL Wegner +1 more
TL;DR: Memory-dependent nonlocal nonlocal Electromagnetic Elastic Solids as mentioned in this paper have been shown to be memory-dependent on nonlocal elasticity and nonlocal linear elasticity, as well as nonlocal Linear Elasticity and Nonlocal Fluid Dynamics.
Journal ArticleDOI
Nonlocal polar elastic continua
TL;DR: In this article, a continuum theory of non-local polar bodies is developed for nonlinear micromorphic elastic solids, and the balance laws and jump conditions are given.
Journal ArticleDOI
Thermoelasticity without energy dissipation
Albert Edward Green,P. M. Naghdi +1 more
TL;DR: In this article, a general uniqueness theorem for linear thermoelasticity without energy dissipation is proved and a constitutive equation for an entropy flux vector is determined by the same potential function which also determines the stress.