PSI - Issue 52

Jan Sladek et al. / Procedia Structural Integrity 52 (2024) 133–142 Author name / Structural Integrity Procedia 00 (2019) 000–000

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The temperature profiles are shown in Fig.3. One can observe an influence of the micro-thermal length scale parameter on the temperature distribution. Larger values of this parameter reduces the local peak of the temperature.

Fig. 3 : The temperature profiles for classic and higher grade heat conduction theory ( 2 0 x  ) Figure 4 shows the crack opening displacements for various time instants within strain gradient elasticity and a finite value of the micro-thermal length scale parameter (higher grade heat conduction theory). The superposition of the mechanical loading with prescribed mechanical displacement on the top surface and thermal loading by Joule heating yields certain finite value of the crack opening displacement at initial time instant. The crack displacement at initial time instant is caused only the mechanical load. With a growing time, the crack closure is observed on a portion of original crack faces.

Fig. 4 : Crack opening displacements obtained within higher grade theories at various time instants The influence of the micro-thermal length scale parameter on the crack opening displacements is shown in Fig.5. Temperature is significantly influenced by this parameter as you can see in Fig. 3. Consequently, the mechanical fields