Abstract
The bending of the Euler-Bernoulli micro-beam has been extensively modeled based on the modified couple stress (MCS) theory. Although many models have been incorporated into the literature, there is still room for introducing an improved model in this context. In this work, we investigate the thermoelastic vibration of a micro-beam exposed to a varying temperature due to the application of the initial stress employing the MCS theory and generalized thermoelasticity. The MCS theory is used to investigate the material length scale effects. Using the Laplace transform, the temperature, deflection, displacement, flexure moment, and stress field variables of the micro-beam are derived. The effects of the temperature pulse and couple stress on the field distributions of the micro-beam are obtained numerically and graphically introduced. The numerical results indicate that the temperature pulse and couple stress have a significant effect on all field variables.
Highlights
Small scale and nano-scale structures have been used in several design devices such as nuclear drive and switches
The modified couple stress (MCS) theory can be seen as an exceptional example of the strain gradient theory
The MCS theory considers the revolution as a variable in determining curvature, while the strain inclination theory considers the strain to be variable in curvature pronounce[1,2,3,4]
Summary
Small scale and nano-scale structures have been used in several design devices such as nuclear drive and switches. Non-classical theories (e.g., strain gradient and couple stress) are used to concentrate on the material behavior on these scales. These theories contain size scale factors which show the influence of micro-structure. In the 1960s, some researchers proposed a couple stress theory of elasticity that could be classified as a non-classical theory[20] The theory made it possible to explain the size-dependent effects using two higher-order material constants in state equations. The MCS theory is introduced to study the effect of size on small-scale Euler-Bernoulli beams. Size-dependent thermoelastic initially stressed micro-beam due to a varying temperature 1807
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