다결정 알루미나에서 결정립 크기 분포를 포함하는 Bridging 응력함수의 해석적 모델링

An Analytical Modeling for Bridging Stress Function Involving Grain Size Distribution in a Polycrystalline Alumina

  • 손기선 (포항공과대학교 재료금속공학과) ;
  • 이성학 (포항공과대학교 재료금속공학과) ;
  • 백성기 (포항공과대학교 재료금속공학과)
  • 발행 : 1994.12.01

초록

A new analytical model which can discribe the relationship between the bridging stress and the crack opening displacement was proposed to investigate the microstructural effect on the R-curve behavior in a polycrystalline alumina. The crack opening displacement according to the distance behind the stationary crack tip was measured using in-situ fracture technique in an SEM, and then used for a fitting procedure to obtain the distribution of bridging stress. The current model and an empirical power law relation were introduced into the fitting procedure. The results indicated that the bridging stress function and R-curve computed by the current model were consistent with those computed by the power law relation. The microstructural factor, e.g., the distribution of grain size, was also found to be closely related to the bridging stress. Thus, this model explained well the interaction effect between the distribution of bridging stress and the local-fracture-controlling microstructure, providing important information for the systematic interpretation of microfracture mechanism including R-curve behavior of a monolithic alumina.

키워드

참고문헌

  1. J. Mater. Sci. v.12 Subcritical Crack Extension and Crack Resistance in Polycrystalline Alumina H. Hubner;W. Jillek
  2. J. Mater. Sci. Lett. v.1 no.8 Memory Effect of Crack Resistance during Slow Crack in Notched Al₂O₃ Bend Specimens R. Knehans;R. Steinbrech
  3. J. Am. Ceram. Soc. v.71 no.5 Rising Fracture Toughness from the Bending Strength of Indented Alumina Beams R.F Krause, Jr.
  4. Acta Metall. Mater. v.38 no.6 R-Curve Behavior of Al2O3 Ceramics G. Vekinis;M.F. Ashby;P.W.R. Beaumont
  5. J. Am. Ceram. Soc. v.70 no.4 Crack-Interface Grain Bridging as a Fracture Resistance Mechanism in Ceramics: Ⅰ, Experimental Study on Alumina P.L. Swanson;C.J. Fairbanks;B.R. Lawn;Y.W. Mai;B.J. Hokey
  6. J. Am. Ceram. Soc. v.71 no.6 Determination of Crack-Bridging Forces in Alumina A. Reichl;R. Steinbrech
  7. J. Am. Ceram. Soc. v.70 no.4 Crack-Interface Grain Bridging as a Fracture Resistance Mechanism in Ceramics: Ⅱ. Theoretical Fracture Mechanics Model B.R. Lawn;Y.W. Mai
  8. J. Mater. Res. v.2 no.3 Crack Resistance by Interfacial Bridging: Its Role in Determining Strength Characteristics R.F. Cook;C.J. Fairbanks;B.R. Lawn;Y.W. Mai
  9. J. Mech. Phys. Solids v.34 no.6 Crack Growth Resistance Curves in Strain-Softening Materials R.M.L. Foote;Y.W. Mai;B. Cotterell
  10. J. Am. Ceram. Soc. v.71 no.5 Evaluation of Bridging Stress from R-Curve Behavior for Nontransforming Ceramics C.-H. Hsueh;P. Becher
  11. J. Am. Ceram. Soc. v.73 no.11 In Situ Measurement of Bridged Crack Interfaces in the Scanning Electron Microscope J. Rodel;J.G. Kelly;B.R. Lawn
  12. J. Am. Ceram. Soc. v.73 no.7 R-Curve Behavior of Long Cracks in Alumina R.W. Steinbrech;A. Reichl;W. Schaarwachter
  13. J. Am. Ceram. Soc. v.76 no.7 Grain-Bridging Mechanisms in Monolithic Alumina and Spinel J.C. Hay;K.W. White
  14. J. Am. Ceram. Soc. v.74 no.8 Crack-Tip-Bridging Stresses in Ceramic Materials X.-Z. Hu;E.H. Lutz;M. Swain
  15. Eng. Frac. Mech. v.31 no.4 Analysis of R-Curve Behavior of Non-Phase-Transforming Ceramics B.S. Majumdar;A.R. Rosenfield;W.H. Duckworth
  16. Acta metall. Mater. v.37 no.10 Role of Interfacial Grain-Bridging Sliding Friction in the Crack-Resistance and Strength Properties of Nontransforming Ceramics S.J. Bennison;B.R. Lawn
  17. Fracture v.1 The Fracture Toughness of Ceramics A.G. Evans;A.H. Heuer;D.L. Porter
  18. Eng. Fract. Mech. v.20 no.3 Crack Growth in Cement-Based Composites R. Ballarim;S.P. Sah;L.M. Keer
  19. Acta Metall Mater. v.40 no.11 Crack Face Bridging Mechanisms in Monolithic MgAl2O4 spinel Microstructures J.C. Hay;K.W. White
  20. Adv Appl Mech v.7 The Mechanical Theory of Equilibrium Crack in Brittle Fracture G.I. Barenblatt
  21. J. Mater. Sci. Lett. v.5 no.8 R-Curve Behavior In a Polycrystalline Alumina Material M.V. Swain
  22. J. Mater. Sci. v.8 Crack Propagation Studies in Brittle Materials S.W. Freiman;D.R. Mulville;P.W. Mast
  23. 실용신안등록출원 제 25401호 전자현미경형용 세라믹 시편균열발생장치 류길열;이성학;손기선
  24. J. Am. Ceram. Soc. v.73 no.8 Role of Grain Size in the Strength and R-Curve properties of Alumina P. Chantikul;S.J. Bennison;B.R. Lawn
  25. Fracture of Brittle Solids B.R. Lawn;T.R. Wilshaw
  26. Nonlinear Programing M. Avriel