PSI - Issue 13

Masayuki Arai et al. / Procedia Structural Integrity 13 (2018) 131–136 Author name / Structural Integrity Procedia 00 (2018) 000 – 000

136

6

residual stress generated by a press-fitted inclusion. Difference in elastic modulus between matrix and inclusion as shown in Fig. 4 (b) also leads to crack path deflection due to strong interaction between the crack tip and the inclusion.

(a) Influence of

(b) Influence of elastic modulus Fig. 4 The model geometry and the results of crack path simulation Table 1 Analysis condition [mm] 1 [GPa] 1 2 [GPa] 2 [MPa] Case1 0.015 71.8 0.3 71.8 0.3 107.7 Case2 0.020 71.8 0.3 71.8 0.3 143.6 Case3 0.025 71.8 0.3 71.8 0.3 179.5 Case4 -0.015 71.8 0.3 71.8 0.3 -107.7 Case5 0.015 71.8 0.3 216 0.3 190.3 Case6 0.015 216 0.3 71.8 0.3 140.5

5. Conclusion In this study, the stress intensity factor at the tip of a crack near an inclusion was evaluated by solving a singular integral equation. The fundamental solution, which was obtained by Dundurs and Mura, was applied to the interaction between the press-fitted inclusion and the edge dislocation. The new algorithm developed here demonstrated that the crack tip progresses automatically in the direction of the zero stress intensity factor K II . This algorithm allows us to precisely predict a crack propagation path, and to quickly determine the size and location of a hole. Using the developed program, the influence of the crack location on a crack path was examined. It was found that crack deflection is influenced when a crack tip approaches the circular inclusion.

References

Dundurs, J., Mura, T., 1964. Interaction between an edge dislocation and a circular inclusion. Journal of the Mechanics and Physics of Solids 12, 177-189. Hill, D. A., Kelly, P. A., Dai, D. N., Korsunsky, A. M., 1996. Solution of crack problems – the distributed dislocation technique-. Kluwer Academic Publishers. Woo, C. W., Chan, L. W., 1992. Boundary collocation method for analyzing perforated plate problems. Engineering Fracture Mechanics 43 (5), 757-786.