The Response of Nanobeams with Temperature-Dependent Properties Using State-Space Method via Modified Couple Stress Theory

Abstract

At present, with the development in nanotechnology, nanostructures with temperature-dependent properties have been used in nano-electromechanical systems (NEMS). Thus, introducing an accurate mathematical model of nanobeams with temperature-dependent properties is a major and important topic for the design of NEMS. This paper aims to discuss nonlocal nanobeams analysis depending on the theories of Euler–Bernoulli and modified couple-stress (MCS). It also is assumed that the thermal conductivity of the nanobeam is dependent on the temperature. Physical fields of the nanobeam are obtained utilizing Laplace transform and state-space techniques. The effects of the size and nonlocal parameters, variability of thermal conductivity and couple stress on various distributions are presented graphically and studied in detail. Numerical results are presented as application scales and the design of nanoparticles, nanoscale oscillators, atomic force microscopes, and nanogenerators, in which nanoparticles as nanobeams act as essential and basic elements.

Vibration analysis of nanobeams subjected to gradient-type heating due to a static magnetic field under the theory of nonlocal elasticity

“…Silicon, as an anthropic substance, is the material chosen for this numerical evaluation. Thus, the physical properties of the problem are expressed in SI units as 15 , 16 …”

“…Some micro and nano structures, as well as length and width differences that have a significant impact on the properties and performance of those structures, may have geometric irregularities during production, assembly and packaging. It is well known that the mechanical response of nanostructures is of large dimensions, thus small effects on the mechanical behavior of nanostructures must be considered 16 .…”

Temperature-Dependent Physical Characteristics of the Rotating Nonlocal Nanobeams Subject to a Varying Heat Source and a Dynamic Load

“…The Eringen nonlocal elasticity theory (ENET) has been applied in many theoretical investigations on the free vibrations of nanoparticles and nanobeams taking into account the assumptions of Euler-Bernoulli (EBT) and Timoshenko beams (TBT) models [20][21][22][23][24][25][26][27]. Another area of research which is emerging due to its current as well as future applications is therefore theoretical studies on the nanoscale behavior of rotating micro/nanobeams in different environment.…”

Computational analysis of an infinite magneto-thermoelastic solid periodically dispersed with varying heat flow based on non-local Moore–Gibson–Thompson approach

“…Abouelregal and Mohammed [46] introduced a non-local Bernoulli-Euler model and analyzed the thermoelastic interactions in nanoscale beams, using the couple stress and the generalized thermoelasticity models. The theories of Euler-Bernoulli and the modified couple stress have led to discussion by Abouelregal and Marin [47] on non-local nanobeams. The thermal conductivity of the nanoscale beams is also supposed to depend on the temperature changes.…”