PSI - Issue 71

Ritesh Kumar et al. / Procedia Structural Integrity 71 (2025) 364–371

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at the boundary are forced to be zero . 0 r a  = = 0 r b  = =

(26) After employing the point colocation method, a stress function helps to get radial stress, tangential stress, radial displacement, and Von-Mises stress .

3. Numerical results and discussion Table 1 Material Properties a (m)

b (m) (GPa) (GPa) ρ 0 o (kg/m3) 0 r (per ◦ C) θ (per ◦ C) Υ 1 12 20 1600 0.25 9×10 −6 114×10 −6 0.35 0.3

0.4

3.1 Material properties

Fig. 2. Modulus plot ( E r )

Fig. 3. Modulus plot ( E θ )

Fig. 4. Density plot

Fig. 5. Thermal conductivity plot

Material properties considered to carry out the analysis are given in Table 1. The graphical representation of material properties such as Young’s modulus, density, and thermal conductivity are shown in Fig.2 to 5. Material properties are taken constant at the outer surface and vary along the radius as shown in the figures. When β=0, it assumes an isotropic material, for < , material properties increase along the inner radius, and for > , material properties decrease along the radius. Fig. 6 shows the variation of the temperature field along the radius for both variable as well as constant temperature fields. The effect of grading parameter is visible in the temperature field graph, which is influenced by the thermal conductivity.

Fig. 6. Temperature plot