PSI - Issue 48

Shanyavskiy A. et al. / Procedia Structural Integrity 48 (2023) 119–126 Shanyavskiy et al/ Structural Integrity Procedia 00 (2023) 000–000

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Fig. 3 shows a computer-aided design (CAD) model of gears’ contact and a finite element model of the teeth of a gear Z 4 subjected to fatigue loading. Fig. 4 shows the distribution of equivalent stresses according to the implemented SWT criterion at the root of the tooth at the moment of quasi-crack initiation indicated by the gray dot and the white arrow. This moment corresponds to the number of N =3.39∙10 8 cycles.

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Fig. 3. (a) CAD and (b) FEM model of the gear Z 4 .

Fig. 4. SWT equivalent stress distribution on the stage of quasi-crack initiation at N =3.39∙10 8 cycles.

As the fatigue process develops, a quasi-crack indicated by gray color in Fig. 5 grows at the root of the tooth in depth and along the root surface up to the lateral surface at the moment of N =3.05∙10 9 cycles.

Fig. 5. SWT equivalent stress distribution in the gear when fatigue crack reaching the lateral gear surface at N =3.05∙10 9 cycles.