Moore–Gibson–Thompson Thermoelastic Model Effect of Laser-Induced Microstructures of a Microbeam Sitting on Visco-Pasternak Foundations

Abstract

Due to the intricacy of this topic, the thermal study of microstructures on triple-parameter foundations subjected to ultrafast laser pulses has not received much attention. It is necessary to determine the thermal performance of a structure to examine the thermoelastic properties that are caused by a heat source that is generated by a laser pulse. In this paper, the framework of a microscale beam is presented; it was exposed to harmonically fluctuating heat and rested on a visco-Pasternak base under the impact of axial stress. The Euler-Bernoulli beam model was used for this objective, and a very short laser pulse heated the medium. In addition, the Moore–Gibson–Thompson (MGT) non-Fourier thermoelastic theory was used to attempt to explain the thermal variables of the system, and the equations regulating the vibration of thermo-elastic microbeams were then constructed. A semi-analytical strategy is described to examine the properties of the studied field variables. This methodology uses the Laplace transform as well as an approximate computational method for inverse transformations. The influences of the operative parameters on the thermal deflection, axial thermal stress, displacement fields, and temperature change are presented. These effects include damping constants, laser pulses, and the stiffness of viscoelastic and elastic foundations. In addition, the results that were found were compared with previous literature in order to validate the derived model. Finally, more computational outcomes are presented to study the properties of different temperature factors including in the MGT thermoelastic model.

Analysis of axisymmetric deformation in generalized micropolar thermoelasticity within the framework of Moore-Gibson-Thompson heat equation incorporating non-local and hyperbolic two-temperature effect

“…To obtain the solution of the problem in physical domain, we need to invert the transforms as in ( 30)- (36). Here the displacement components, the stress components, tangential couple stress, conductive temperature and thermodynamic temperature are of the form f j, z, s ð Þ.…”

“…Several comprehensive works have been presented that include MGT theory of thermoelasticity. [36][37][38][39][40][41][42] Several eminent researchers have investigated the thermomechanical properties of micropolar elastic media using various thermoelasticity theories. To the best of the authors' knowledge, no research has been conducted on the interaction of Eringen's non-local theory and micropolar thermoelastic materials with HTT under MGT for an axisymmetric problem.…”