Response of thermoviscoelastic microbeams affected by the heating of laser pulse under thermal and magnetic fields

Abstract

In the current study, we presented a new thermoviscoelastic Kelvin-Voigt model to describe the behavior of microbeams taking into account the influence of the temperature change and applied magnetic field. The non-Fourier heat conduction with the interaction of a permanent magnet field is taken into consideration in our modeling. Based on the Euler-Bernoulli beam theory, Maxwell’s equations, and the generalized thermoelasticity with dual-phase lags, the system of governing equations of the model are derived. The microbeam is affected by femtosecond laser heating. A numerical technique based on the Laplace transform method is exploited to obtain the solution to the problem. The effects of the boundary, viscosity, laser intensity, and magnitude of the magnetic field on microbeam are examined in several cases in detail. The results showed that the effect of coupling significantly improves the thermal wave and delays the stress wave duration.

Thermo‐viscoelastic behavior in an infinitely thin orthotropic hollow cylinder with variable properties under the non‐Fourier MGT thermoelastic model

“…• Compared to other simplified thermal elasticity models, the results of the generalized GN-IIII model also show an affinity for the standard elasticity model (CTE), which is not rapidly dissipated in heat within the body. Quintanella [14] and Abouelregal [18,19] are in perfect agreement with this. • In MGTE and LS theories of thermal elasticity, the distribution of differences in temperature and physical quantity follows congruent trends for viscous solids.…”

“…The physical constants of cobalt orthodontic content for computational purposes are considered. In SI units as, physical cobalt constants are given [19,20] We consider the inner and outer radius of the cylinder to be 𝑎 = 1 and 𝑏 = 2. In the following three cases, numerical calculations are performed.…”

“…The following are the basic equations for a thermo-viscoelastic medium without any body forces [14,17,19] The energy balance equation…”

“…Quintanilla [14] built the proposed modified heat equation after applying the relaxation factor in the Green-Naghdi type III model [16]. The number of articles dedicated to MGT theory has significantly expanded since its inception [15][16][17][18][19][20][21][22][23].…”

On the Analysis of the Non-Newtonian Fluid Flow Past a Stretching/Shrinking Permeable Surface with Heat and Mass Transfer

“…The recent studies about the nanaofluids along with different advantages can be studied in refs. [38][39][40][41][42][43][44][45][46].…”