PSI - Issue 81

Borys Shelestovskyi et al. / Procedia Structural Integrity 81 (2026) 162–169

168

coordinate r , obtained from both theoretical approaches, is similar to thicknesses of about 5 mm and greater. With the thickness increase, the volumetric nature of the residual stress distribution becomes more distinguished (Figure 4). In this case, the normal stresses are of their maximum values at the mid-plane of the plate (Figure 4b), while the shear stresses are maximal at distances of approximately 0.2 of the plate thickness from its surfaces (Figure 4a). These results are similar to those previously reported in the analyses of residual stress distributions near the weld obtained by the three-dimensional plate theory using additional assumptions on the stress distribution (Nedoseka, 2008), as well as with those of the numerical and experimental results (Lobanov et al. , 2005).

(a)

(b)

Fig. 3. Dependence of residual (a) radial stresses and (b) hoop stresses on the normalized thickness coordinate z along the normal to the plate surface for different values of the radial coordinate r .

(a)

(b)

Fig. 4. Dependence of residual (a) shear stresses and (b) normal stresses on the normalized thickness coordinate z along the normal to the plate surface for different values of the radial coordinate r .

(a)

(b)

Fig. 5. Dependence of residual (a) radial stresses and (b) hoop stresses on the plate surface versus the radial coordinate for different plate thicknesses h at 5 3  = . The dashed curve demonstrates represents the corresponding dependence for the plane stress state.