PSI - Issue 81

Leonid Voytovych et al. / Procedia Structural Integrity 81 (2026) 287–291

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circumferential stresses σ φ along the hole generators passing through points 1 (5), 3, 7, 2 (4), and 6 (8) are shown in Fig. 5 . The σ φ stress distributions along the generator passing through point 3 of the hole contour deviate from a linear pattern. Figure 6a shows the distributions of σ φ stresses along the hole contour on the compressed and tensile surfaces of the plate. The σ φ stresses along the contour on the plate surface have the same sign. In Fig. 5, the dashed line indicates the geometric locus of the intersection points of the neutral surface of the plate with the cylindrical surface of the hole after deformation. Its curvature is caused by the presence of membrane stresses and the stress concentrator. Figure 6b shows the distributions of σ Z stresses along the hole generators. The maximum σ Z stresses occur in the mid- thickness of the plate and amount to approximately 10% of the maximum circumferential stresses σ φ .

a

b

Fig. 4. Stress distributions: (a) σ φ along the hole contour; ( b) σ R and σ θ along the plate radius

Fig. 5. Stress distributions σ R and σ θ along the plate radius.

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b

Fig. 6. Stress distributions: (a) σ φ along the contour; (b) σ Z along the hole generators