Skip to main content
Log in

Effect of crystal orientation on initiation and propagation of crack: Phase field crystal model study

  • Regular Article
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

The crystal phase field (PFC) method is used to simulate the propagation of the nano-crack of samples with different crystal orientations under the strain of the uniaxial tensile. The results show that the different crystal orientations have a significant effect on the initiation and propagation of the cracks. For the samples with the orientation angles of 5° and 20°, the notch is directly cracked due to the strain concentration at the dislocation of the crack tip. The cracks mainly show a mode of the brittle expansion, and its edges show smooth planar features. For the samples with the orientation angles of 10° and 15°, the dislocation is firstly emitted at the notch to generate vacancies by dislocation slipping. The vacancies grow and connect to form cracks. This process of the crack propagation belongs to the mode of the ductile crack with the rough edges. The results are consistent with that of the molecular dynamic and experimental results.

Graphical abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R.-y. Tian, C.-j. Hang, Y.-h. Tian, J.-y. Feng, J. Alloys. Compd. 777, 463 (2019)

    Article  Google Scholar 

  2. J.-p. Liu, D.-B. Xiong, Y.-s. Su, Q. Guo, Z.-q. Li, D. Zhang, Mater. Sci. Eng. A 739, 132139 (2019)

    Article  Google Scholar 

  3. J.-Y. Wang, H.-T. Jiang, X.-G. Duan, H.-T. Lin, P. Qiu, Z.-L. Mi, Mater. Sci. Eng. A 739, 254 (2019)

    Article  Google Scholar 

  4. T. Zhai, A.J. Wilkinson, J.W. Martin, Acta Mater. 48, 4917 (2000)

    Article  Google Scholar 

  5. X.-l. Cai, D.-q. Sun, H.-m. Li, C. Meng, L. Wang, C.-j. Shen, Opt. Laser Technol. 111, 205 (2019)

    Article  ADS  Google Scholar 

  6. C.M. Davies, D.W. Dean, M. Yatom, K.M. Nikbin, Mater. Sci. Eng. A 510–511, 202 (2009)

    Article  Google Scholar 

  7. Z.X. Wen, N.X. Hou, Z.F. Yue, Mater. Sci. Eng. A 510–511, 284 (2009)

    Article  Google Scholar 

  8. M. Adlzadeh, H.M. Shodja, H.R. Tabar, Comput. Mater. Sci. 42, 186 (2008)

    Article  Google Scholar 

  9. X.H. Wu, J.Z. Xiang, inModern Material Computation and Design (Electronic Industrial Press, Beijing, 2002), 1

  10. K. Yashiro, Comput. Mater. Sci. 112, 120 (2016)

    Article  Google Scholar 

  11. F.-L. Tang, H.-M. Cai, H.-W. Bao, H.-T. Xue, W.-J. Lu, L. Zhu, Z.-Y. Rui, Comput. Mater. Sci. 84, 232 (2014)

    Article  Google Scholar 

  12. Y.-L. Li, W.-P. Wu, N.-L. Li, Y. Qi, Comput. Mater. Sci. 104, 212 (2015)

    Article  Google Scholar 

  13. K. Yashiro. Comput. Mater. Sci. 131, 220 (2017)

    Article  Google Scholar 

  14. Y. Qi, P.E. Krajewski, Acta Mater. 55, 1555 (2007)

    Article  Google Scholar 

  15. Y.-j. Gao, Q.-q. Deng, L.-l. Huang, L. Ye, Z.-c. Wen, Z.-r. Luo, Comput. Mater. Sci. 130, 64 (2017)

    Article  Google Scholar 

  16. P. Stefanovic, M. Haataja, N. Provatas, Phys. Rev. E 80, 046107 (2009)

    Article  ADS  Google Scholar 

  17. P. Stefanovic, M. Haataja, N. Provatas, Phys. Rev. Lett. 96, 22504 (2006)

    Article  Google Scholar 

  18. K.R. Elder, M. Grant, Phys. Rev. E 70, 051605 (2004)

    Article  ADS  Google Scholar 

  19. P.Y. Chan, G. Goldenfeld, J. Dantzig, Phys. Rev. E 79, 035701 (2009)

    Article  ADS  Google Scholar 

  20. E.J. Schwalbach, J.A. Warren, K.A. Wu, Phys. Rev. E 88, 023306 (2013)

    Article  ADS  Google Scholar 

  21. Y.-j. Gao, Z.R. Luo, L.L. Huang, H. Mao, C.G. Huang, K. Lin, Modell. Simul. Mater. Sci. Eng. 24, 055010 (2016)

    Article  ADS  Google Scholar 

  22. G. Kocher, N. Provatas, Phys. Rev. Lett. 114, 155501 (2015)

    Article  ADS  Google Scholar 

  23. V. Fallah, A. Korinek, N. Ofori-Opoku et al., Acta Mater. 82, 457 (2015)

    Article  Google Scholar 

  24. K. Wu, P.W. Voorhees, Acta Mater. 60, 407 (2012)

    Article  Google Scholar 

  25. Y.J. Gao, Z.R. Luo, L.L. Huang, H. Mao, C.G. Huang, K. Lin, Modell. Simul. Mater. Sci. Eng. 24, 055010 (2016)

    Article  ADS  Google Scholar 

  26. S. Hu, Z. Chen, G. Xu, W. Xi, Y. Peng, Comput. Mater. Sci. 124, 195 (2016)

    Article  Google Scholar 

  27. L.-y. Kong, Y.-j. Gao, Q.-q. Deng, Z.-r. Luo, Y.-j. Lu, Materials 11, 1805 (2018)

    Article  ADS  Google Scholar 

  28. Y.J. Gao, L.L. Huang, Q.Q. Deng, Acta Mater. 117, 238 (2016)

    Article  Google Scholar 

  29. G. Tegze, G. Bansel, G.I. Tóth, T. Pusztai, Z.-y. Fan, L. Gránásy, J. Comput. Phys. 228, 1612 (2009)

    Article  ADS  Google Scholar 

  30. W.-q. Zhou, J.-c. Wang, Z.-j. Wang, Z.-F. Huang, Phys. Rev. E. 99, 013302 (2019)

    Article  ADS  Google Scholar 

  31. Y.-m. Xing, F.-l. Dai, W. Yang, Sci. China Ser. A 8, 721 (2000)

    Google Scholar 

  32. J. Weertman, Mater. Sci. Eng. A 468–470, 59 (2007)

    Article  Google Scholar 

  33. Y.-g. Zhou, Z.-y. Yang, Z.-x. Lu, Mater. Sci. Eng. A 599, 116 (2014)

    Article  Google Scholar 

  34. M.-x. Huang, Z.-h. Li, J. Mech. Phys. Solids 52, 1991 (2004)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ying-jun Gao.

Additional information

Contribution to the Topical Issue “Multiscale Materials Modeling”, edited by Yoji Shibutani, Shigenobu Ogata, and Tomotsugu Shimokawa.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lu, Yj., Gao, Yj., Deng, Qq. et al. Effect of crystal orientation on initiation and propagation of crack: Phase field crystal model study. Eur. Phys. J. B 92, 194 (2019). https://doi.org/10.1140/epjb/e2019-100117-y

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2019-100117-y

Navigation