PSI - Issue 2_A

Larisa Stepanova et al. / Procedia Structural Integrity 2 (2016) 1789–1796

1796

8 Stepanova L.V., Roslyakov P.S. / Structural Integrity Procedia 00 (2016) 000–000 (2015), Akbardoost and Ayatollahi (2014)). One can conclude that higher-order terms of the Williams power series can play a key role if a knowledge of accurate stress / displacement fields not only very close to the crack tip is required. The study shows that more than one or two terms (utilized within the well-known one- or two-parameter fracture mechanics) should be taken into account. This can be either important for instance in the case of quasi-brittle materials, where the stress and displacement distributions has to be known also farther from the crack tip in order to perform a reliable fracture analysis. It can be concluded that the asymptotical analysis performed clearly shows how the higher order terms of the Williams expansion can be important. According to the study presented, the multi parameter fracture mechanics approach is necessary especially when the stress field is influenced when the stress field is investigated at larger distances from the crack tip.

Acknowledgements

The authors would like to acknowledge the financial support of the Russian foundation of basic research, project 16-08-00571-a.

References

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