## 5 Discussions and Numerical Results
### The Influence of the Duration of the Laser Pulse  
In recent years, investigations of laser applications have been necessary to gain knowledge of the internal structural properties of many materials. As a result, many contemporary applications of laser pulses have emerged in many fields, such as physical sciences, mechanical engineering, medicine, and others. When considering how extended thermoelastic concepts affect beams, the thermal influence of a non-Gaussian laser on a flexible material that is employed as a heat source is the most significant thing to consider. This discussion subsection studies the phenomenon of small-scale heating beams using a pulsed laser. The microbeams in this study consist of aluminum material and are heated using a pulsed non-Gaussian laser for a few seconds \(t_{p}\). This allows the resonance to be damped by the thermal elasticity within the material. The basic energy dissipation process converts kinetic energy into stable thermal energy. This conversion occurs when temperature and pressure interact with each other within the microbeams. Figure 3 shows how a variety of laser pulse properties can affect the amount of microbeam deflection \(w\). According to this figure, the fine beam endpoints do not show any deflection, which is in contrast to the deflection that is observed elsewhere along the axial axis between the two ends. This result is consistent with the boundary conditions that have been considered for the problem. It is also shown that the deflection \(w\) drops sharply to its lowest value at point \(x\cong 0.1\) near the application of the heat source and the harmonic convection. After that, the deviation begins to rise gradually, making it close to zero at the point \(x\cong 0.8\), before fading out completely. A significant increase in the aberration contrast w is shown, referring to the increase in the laser pulse length parameter \(t_{p}\), as shown in Figure 3. This is due to the fact that the ultrashort laser pulse leads to very fast movements in the structural elements of the material, which in turn lead to significantly large inertial forces and, as a result, an exceptionally high vibration and, thus, deflection \(w\). Figure 5: Variation of displacement \(u\) against laser pulse duration \(t_{p}\). Figure 6: Variation of thermal stress \(\sigma_{xx}\) against laser pulse duration \(t_{p}\). The influence that the length of the laser pulse \(t_{p}\) has on the temperature distribution \(\theta\) is seen in Figure 4. According to the results that have been shown, the temperature distributions become less extreme as the wave travels a given distance and continues to travel in the same direction as the wave travels. The thermoelastic beam is sent through the medium at a finite speed and does so in accordance with the temperature profiles. This discovery demonstrates that the experimental and theoretical predictions that are made by this novel model (MGTTE) correspond quite well with one another for metallic materials. The graphic demonstrates that an increase in the laser pulse duration \(t_{p}\) that was applied to the elastic medium results in a temperature rise. Because of the quickly varying contraction and expansion, those materials that are susceptible to heat transmission through conduction might experience temperature fluctuations [46]. Because pulsed laser technologies are so prevalent in material processing, nondestructive testing, and characterization, this particular mechanism has garnered significant attention [47]. Figure 5 is a graphic that illustrates the influence that the parameter \(t_{p}\) has on the displacement \(u\) sensitivity of an embedded microbeam that has been treated with an ultrafast laser. The information that is shown in this figure leads one to the conclusion that the impact of increasing the duration of the laser pulse results in an increase in the values of displacement \(u\).