Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-16T01:19:59.660Z Has data issue: false hasContentIssue false
  • English
  • Français

Ceramics Toughening Mechanism Study of Mixed-Mode I-III Cracks with a New Yield Criterion

Published online by Cambridge University Press:  31 August 2011

Z.-J. Yang ,
Z.-Q. Wang ,
L.-Q Tang  and
X.-Y. Sun
Z.-J. Yang*
Affiliation:
College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin, 150001, China
Z.-Q. Wang
Affiliation:
College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin, 150001, China
L.-Q Tang
Affiliation:
College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin, 150001, China
X.-Y. Sun
Affiliation:
College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin, 150001, China
*
*Graduate student, corresponding author
Get access

Abstract

Considering the SD (strength differential) effect on compressive strength and tensile strength in zirconia ceramic material, a yield criterion with a special parameter is introduced. In addition, by analogy with associated flow rule, the constitutive model of phase transformation ceramic material has been established. Under generalized plane strain condition, the theoretical toughening expressions of mixed-mode I-III stationary cracks and steady-state growing cracks have been developed with the constitutive model. The crack toughening effect has been discussed in detail with the Poisson ratio, parameters k / α (the ratio of nominal yield strength and SD effect factor) and ω (the scale factor of mode I crack and mode III). The integral calculation shows that phase transformation toughening of stationary cracks is negative shielding effect and the toughening effect of the steady-state growing cracks change obviously with the increase of parameter k / α. Comparison between experimental data and theoretical data indicates that the yield criterion is in accord with the actual characteristics of the zirconia ceramic, when the expression of mixed-mode I-III crack is reduced to mode I crack. The results obtained in present paper can provide the useful theoretical reference for the research of phase transformation toughening in ceramic materials.

Keywords

Zirconia ceramicCompressive strengthTensile strengthMixed-mode cracks
Type
Articles
Information
Journal of Mechanics , Volume 27 , Issue 3 , September 2011 , pp. 409 - 414
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Reyes-Morel, P. E. and Chen, I. W., “Transformation Plasticity of CeO2-stabilized Tetragonal Zirconia Polycrystals: I, Stress Assistance and Autocatalysis,” Journal of the American Ceramic Society, 71, pp. 343–353 (1988).CrossRefGoogle Scholar
2. Sun, Q. P., Huang, Y., Yu, S. W. and Hwang, K. C., “Toughening Analysis of Mode III Crack in Transformation Toughened Ceramics,” Chinese Journal of Solid Mechanics, 12, pp. 298–303 (1991).Google Scholar
3. Ni, X. H., Liu, X. Q. and Wang, J. Y., “Toughening Analysis of Mixed-mode II-III Crack in Transformation Toughened Ceramics,” Chinese Quarterly of Mechanics, 23, pp. 563–567 (2002).Google Scholar
4. Pezzotti, G., Yamada, K. and Shiroyama, S., “Fracture Mechanics and Toughening Mechanisms Analysis of Ce-TZP/Al2O3 Nanocomposite for Biomedical Applications,” Key Engineering Materials, 19, pp. 337–340 (2007).CrossRefGoogle Scholar
5. Tschoegl, N. W., “Failure Surfaces in Principal Stress Space,” Journal of Polymer Science Part C: Polymer Symposia, 32, pp. 239–267 (1971).Google Scholar
6. Chen, I. W., “Model of Transformation Toughening in Brittle Materials,” Journal of the American Ceramic Society, 74, pp. 2564–2572 (1991).CrossRefGoogle Scholar
7. Kelly, P. M. and Francis, R. L. R., “The Martensitic Transformation in Ceramics…Its Role in Transformation Toughening,” Progress in Materials Science, 47, pp. 463–557 (2002).Google Scholar
8. Sun, Q. P., Hwang, K. C. and Yu, S. W., “A Micromechanics Constitutive Model of Transformation Plasticity with Shear and Dilatation Effect,” Journal of Mechanics and Physics of Solids, 39, pp. 507–524 (1991).CrossRefGoogle Scholar
9. Huang, Y. and Wang, C. A., Multiphase Composite Ceramics with High Performance, 1st Ed., Tsinghua University Press, Beijin, pp. 266–271 (2008).Google Scholar