PSI - Issue 25

Ch.F. Markides et al. / Procedia Structural Integrity 25 (2020) 214–225

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Ch. F. Markides et al., Structural Integrity Procedia 00 (2019) 000 – 000

is achieved by considering a cylindrical ring-shaped specimen partly cut along a diameter. In case of finite eccentricity the external loading is approximated by a shear force P and a couple M = Pc on the vertical cross-sections of the CSR (reduction of P acting on the shaded parts of the specimens onto the vertical cross-section). Then, two problems, one due to P (I) and one due to M = Pc (II) are separately solved. The overall solution is obtained by superimposition. According to these two solutions the single maximum tensile stress σ θ ,max (for P = P f ) is developed at point B in CSRc and at point A in CSRt, and according to Saint- Venant’s principle th ese critical values will effectively depict reality as long as the width, R 2 – R 1 , of the CSR attains reasonable values, and interest is limited at the critical line AB .

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Fig. 2. (a) CSRc; (b) Problem I: CSR under shearing forces due to – β dislocation; (c) Problem II: flexure of CSR due to + ε dislocation.

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Fig. 3. (a) CSRt; (b) Problem I: CSR under shearing forces due to + β dislocation; (c) Problem II: flexure of CSR due to – ε dislocation.