PSI - Issue 43

Wilfried Becker et al. / Procedia Structural Integrity 43 (2023) 77–82 Author name / Structural Integrity Procedia 00 (2022) 000 – 000

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Table 1. The values of three parameters for the performed parametric analysis. h a , (nm) l , (nm) Young ’s modulus of the interphase, (GPa) 0.5 50 0.275 1 100 0.688 2 200 1.375 5 300 2.063 10 500 2.75 25 1000

50 70

Firstly, the ISS and IPS values, when varying Young ’s modulus of the interphase according to Table 1, at fixed constant values of the other geometric dimensions of the materials, have been calculated. The obtained results for ISS are presented graphically in Fig. 2 (a) and that for IPS - in Fig.2 (b). For both ISS and IPS the considered length of the nanocomposite structure is fixed as l =200 nm, h a = 0.5 nm. It can be seen, that the influence of interface’s Young ’s modulus is practically insignificant for both ISS and IPS. For simplicity, in Fig. 2(b) only 3 plots are presented. In both graphics the curves (surfaces) at different E (a) values overlap each other. It could be explained theoretically by the type of developed solutions for ISS and IPS – they are both not dependent on E (a) , nor on the values of roots λ i and integration constants C i .

(a)

(b)

Fig. 2. Influence of the Young modulus of the interphase on the ISS (a) and IPS (b) in the interphase layer.

When the thickness h a of the interphase layer is varied according to Table 1, the respective results are shown in Fig.3 (a) for ISS and for IPS – in Fig.3 (b). It has to be noted, that the IPS surface for h a =1nm is seen as a thin dark band to the right-hand side in 3D plot in Fig.3 (b). For better visibility, an additional embedded plot in Fig. 3 (b) in blue represents the IPS for h a =1 nm separately, because 3 IPS surfaces are in different range in respect to the layer thickness. The values of length and E (a) are chosen fixed as l =200 nm and E (a) = 1.375 GPa.