PSI - Issue 37

L.V. Stepanova et al. / Procedia Structural Integrity 37 (2022) 920–925 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

924

5

4 8 0.02137 0.49828 0.64771 cos 6 r r r    + − + −     , 6

(3) 8 0.87023 0.96566 0.16535 0.56992 ( , ) 0.5 sin 2 r r r r r r       = + − + − +     2 4 6

2 8 0.52936 2.87157 1.63113 0.71081 sin 4 r r r r    + − + + +     8 0.03557 0.06413 0.74742 0.64771 sin 6 r r r r    + + − +     . 4 6 2 4 6

Figures 2 and 3 show linear problem results and two approximations given by quasilinearization method and one can see that tangential stress reaches its maximum value not at the circular hole but at the internal point of the plate. Figure 4 illustrates results for stress components given by SIMULIA Abaqus.

Fig. 2. Stress tensor components approximation curves (

/ 4   = ).

Fig. 2. Stress tensor components approximation curves (

/ 2   = ).

Fig. 3. Stress components given by SIMULIA Abaqus solution.