Analysis of Plastic Zone at a Crack Tip for I, II and III Mode Fracture with MY Criterion

Miao Guan; Zhao Zhun Zhong

doi:10.4028/www.scientific.net/AMR.1078.25

Paper Titles

Effect of Nb Content on the Impact Toughness of Coarse-Grained Heat-Affected Zone of Pipeline Steels under Large Heat Input
p.3

Study on Solidification Kinetics and Crystallization Analysis of Dynamically-Vulcanized PP/EPDM Blends
p.8

Occurrence and Control of Crack on Counterweight of Forklift Cast with High Manganese Pig Iron
p.12

Controllable Preparation of Zinc Phosphate Materials with Different Morphologies and Particle Size
p.20

Analysis of Plastic Zone at a Crack Tip for I, II and III Mode Fracture with MY Criterion
p.25

Characterization of Zirconia Sizing Nozzle Modifying Addictives Preparated by Sol-Gel Method
p.31

Study on the Hydrolysis of PET Catalyzed by Carbonates under Microwave Irradiation
p.36

The Facile Preparation and the Performance of Killing Oncomelania Snails of Zinc Oxide Nanoparticles
p.40

Zein: A Novel Porogen for the Preparation of PVDF Porous Membrane
p.45

HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 1078Analysis of Plastic Zone at a Crack Tip for I, II...

Analysis of Plastic Zone at a Crack Tip for I, II and III Mode Fracture with MY Criterion

Abstract:

The plastic zones for I, II, III mode crack under small scale yielding are analyzed by MY criterion, and the analytical solutions of the sizes of the plastic zones for plain stress and plain strain states are first obtained. The solutions for I and II mode crack show that the two solutions are functions of the yield stress, stress strength factor and polar angle, while the solution for III mode crack just depends on the yield stress and stress strength factor. Comparison of the plastic zone with those based on Tresca and Mises criteria shows that Tresca criterion predicts the maximum, the result by MY yield criterion lies between them, and is very close to that by Mises criterion. Besides, the relationship of plastic zone between plain stress and plain strain are also discussed.

You might also be interested in these eBooks

Advanced Research in Material Engineering, Machinery and Applied Technologies

View Preview

Info:

Periodical:

Advanced Materials Research (Volume 1078)

Pages:

25-30

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1078.25

Citation:

Cite this paper

Online since:

December 2014

Authors:

Miao Guan, Zhao Zhun Zhong*

Keywords:

Crack Tip Plastic Zone, MY Criterion, Small Scale Yielding, Stress Strength Factor

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] A.A. Griffith, The phenomenon of rupture and flow in solids. Phil. Trans. Royal. Soc. A221(1921) 163-198.

Google Scholar

[2] M.A. Hussain, S.L. Pu, J. Underwood, Strain energy release rate for a crack under combined mode I and mode II. Fract. Anal. ASTMSTP 560 (1974) 2-28.

DOI: 10.1520/stp33130s

Google Scholar

[3] H. Awaji, The Griffith criterion for mode II fracture. Int. J. Fract. 89 (1998) 3-7.

Google Scholar

[4] M.A.K. Shafique, K.K. Marwan, A new criterion for mixed mode fracture initiation based on the crack tip plastic core region. International Journal of Plasticity 20 (2004) 55-84.

DOI: 10.1016/s0749-6419(03)00011-1

Google Scholar

[5] D.W. Zhao, X.H. Liu, G.D. Wang. Yield criterion based on the mean function of tresca and twin shear stress yield functions. Journal of Northeastern University: Natural Science, 23 (2002) 976-979. (in Chinese).

Google Scholar

[6] D.W. Zhao, Y.J. Xie, X.W. Wang et al. Derivation of plastic work rate per unit volume for Mean yield criterion and its application, J. Mater. Sci. Technol. 21 (2005) 433-437.

Google Scholar

[7] C.M. Li, D.W. Zhao, S.H. Zhang, et al. Analysis of burst pressure for X80 steel pipeline with MY criterion. Journal of Northeastern University(Natural Science), 32 (2011) 964-967. (in Chinese).

Google Scholar

[8] M.H. Yu, Twin shear stress yield criterion. International Journal of Mechanical Science, 25 (1983) 71-74.

Google Scholar

[9] W. Yang. Macro and micro fracture mechanics. Beijing: National Defense Industry Press, 1995, pp.30-55.

Google Scholar

[10] J. Cheng, S.S. Zhao, Fracture Mechanical. Beijing: Science Press, 2006, pp.25-26.

Google Scholar

[11] D. Broek, Elementary engineering fracture mechanics, 3ed. Hague: Martinus Nijhoff Publishers, 1982, pp.1-30.

Google Scholar

[12] S. Flugge, Encyclopedia of physics. New York: Springer-verlag, 1958, pp.1-20.

Google Scholar