Research and simulation of plastic zone around the Griffith’s crack

Authors

  • A. Zh. Bibossinov
  • A. I. Iskakbayev
  • B. E. Bekbauov

Keywords:

Griffith’s crack, plastic zone, stress concentration, elastoplastic deformation, finite volume method, OpenFOAM

Abstract

In this paper, by using the structural strength criterion of Neuber – Novozhilov, a formula of the critical load for plane blunt and sharp cracks is obtained. According to the obtained formula modeling of sharp crack as a thin ellipse with a ratio of small and major semi axes one to ten is carried out. With application of a software package OpenFOAM, based on the finite volume methods, by creating a solver for small elastoplastic deformation, we found the shape and size of plastic zone around the blunt and sharp cracks. A size of plastic zone based on calculation results satisfactorily agrees with the experimental data in researches of Hahn and Rosenfield, and shape – with data of Tuba. The results allow evaluating the impact of the microstructure to ductile material and on the behavior of structures made from such materials.

References

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Published

2015-12-26

How to Cite

Bibossinov, A. Z., Iskakbayev, A. I., & Bekbauov, B. E. (2015). Research and simulation of plastic zone around the Griffith’s crack. International Journal of Mathematics and Physics, 6(2), 23–26. Retrieved from https://ijmph.kaznu.kz/index.php/kaznu/article/view/144

Issue

Section

Informatics and Mathematical Modeling