DOI QR코드

DOI QR Code

Analysis of Cracking Characteristics with Indenter Geometry Using Cohesive Zone Model

Cohesive Zone Model을 이용한 압입자 형상에 따른 균열특성분석

  • Hyun, Hong Chul (Dept. of Mechanical Engineering, Sogang Univ.) ;
  • Lee, Jin Haeng (Division for Research Reactor, Korea Atomic Energy Research Institute) ;
  • Lee, Hyungyil (Dept. of Mechanical Engineering, Sogang Univ.) ;
  • Kim, Dae Hyun (Graduate School of NID Fusion Technology, Seoul Nat'l Univ. of Science and Technology) ;
  • Hahn, Jun Hee (Korea Research Institute of Standards and Science)
  • Received : 2012.12.28
  • Accepted : 2013.10.04
  • Published : 2013.12.01

Abstract

In this study, we investigated the effect of the indenter geometry on the crack characteristics by indentation cracking test and FEA. We conducted various cohesive finite element simulations based on the findings of Lee et al. (2012), who examined the effect of cohesive model parameters on crack size and formulated conditions for crack initiation and propagation. First, we verified the FE model through comparisons with experimental results that were obtained from Berkovich and Vickers indentations. We observed whether nonsymmetrical cracks formed beneath the surface during Berkovich indentation via FEA. Finally, we examined the relation between the crack size and the number of cracks. Based on this relation and the effect of the indenter angle on the crack size, we can predict from the crack size obtained with an indenter of one shape (such as Berkovich or Vickers) the crack size for an indenter of different shape.

Keywords

Indentation Cracking Test;Cohesive Zone Model;Indenter Geometry;Number of Cracks;FEA

Acknowledgement

Supported by : 한국연구재단

References

  1. Lawn, B.R., Evans, A.G. and Marshall, D.B. 1980, "Elastic / Plasic Indentation Damage in Ceramics: the Median/Radial Crack System," Journal of the American Ceramic Society, Vol. 63, pp. 574-581. https://doi.org/10.1111/j.1151-2916.1980.tb10768.x
  2. Anstis, G.R., Chantikul, P., Lawn, B.R. and Marshall, D.B., 1981, "A Critical Evaluation of Indentation Techniques for Measuring Fracture Toughness: I, Direct Crack Measurements," Journal of the American Ceramic Society, Vol. 64, pp. 533-538. https://doi.org/10.1111/j.1151-2916.1981.tb10320.x
  3. Hill, R., 1950, The mathematical theory of plasticity. Oxford University Press, Oxford, UK.
  4. Lee, J.H., Gao, Y., Johanns, K.E. and Pharr, G.M., 2012, "Cohesive Interface Simulations of Indentation Cracking as a Ftracture Toughness Measurement Method for Brittle Materials," Acta Materialia, Vol. 60, pp. 5448-5467. https://doi.org/10.1016/j.actamat.2012.07.011
  5. Dukino, R.D. and Swain, M.V., 1992, "Comparative Measurement of Indentation Fracture Toughness with Berkovich and Vickers Indenters," Journal of the American Ceramic Society, Vol. 75, pp. 3299-3304. https://doi.org/10.1111/j.1151-2916.1992.tb04425.x
  6. Ouchterlony, F., 1976, "Stress Intensity Factors for the Expansion Loaded Star Crack," Engineering Fracture Mechanics, Vol. 8, pp. 447-448. https://doi.org/10.1016/0013-7944(76)90026-6
  7. Laugier, M.T., 1985, "The Elastic/Plastic Indentation of Ceramics," Journal of Materials Science Letters, Vol. 4, pp. 1539-1541. https://doi.org/10.1007/BF00721390
  8. Ponton, C.B. and Rawlings, R.D., 1989a, "Vickers Indentation Fracture Toughness Test: Part 1. Review of Literature and Formulation of Standardised Indentation Equations," Materials Science and Technology, Vol. 5, pp. 865-872. https://doi.org/10.1179/mst.1989.5.9.865
  9. Ponton, C.B. and Rawlings, R.D., 1989b, "Vickers Indentation Fracture Toughness Test: Part 2. Application and Critical Evaluation of Standardised Indentation Toughness Equations," Materials Science and Technology, Vol. 5, pp. 961-976. https://doi.org/10.1179/mst.1989.5.10.961
  10. Quin, G.D. and Bradt, R.C., 2007, "On the Vickers Indentation Fracture Toughness Test," Journal of the American Ceramic Society, Vol. 90, pp. 673- 680. https://doi.org/10.1111/j.1551-2916.2006.01482.x
  11. Niihara, K., 1983, "A Fracture Mechanics Analysis of Indentation-induced Palmqvist Cracks in Ceramics," Journal of Materials Science Letters, Vol. 2, pp. 221-223. https://doi.org/10.1007/BF00725625
  12. Miyoshi, T., 1985, "A Study on Evaluation of $K_{Ic}$ for Structural Ceramics," Transactions of the Japan Society of Mechanical Engineering, Vol. 51, pp. 2489-2497.
  13. Zhang, W. and Subhash, G., 2001, "Finite Element Aalysis of Iteractiong Vckers Identations on Bittle Materials," Acta Materialia, Vol. 49, pp. 2961-2974. https://doi.org/10.1016/S1359-6454(01)00198-7
  14. Tang, Y., Yonezu, A., Ogasawara, N., Chiba, N. and Chen, X., 2008, "On Radial Crack and Half-penny Crack Induced by Vickers Indentation," Proceedings of the Royal Society A, Vol. 464, pp. 2967-2984.
  15. Gao, Y.F. and Bower, A.F., 2004, "A Simple Techniques for Avoiding Convergence Problems in Finite Element Simulations of Crack Nucleation and Growth on Cohesive Interfaces," Modelling and Simulation in Materials Science and Engineering, Vol. 12, pp. 453-563. https://doi.org/10.1088/0965-0393/12/3/007
  16. Hutchinson, J.W. and Evans, A.G., 2000, "Mechanics of Materials: Top-down Approaches to Fracture," Acta Materialia, Vol. 48, pp. 125-135. https://doi.org/10.1016/S1359-6454(99)00291-8
  17. Williams, J.G., 2002, "Analytical Solutions for Cohesive Zone Models," Journal of the Mechanics and Physics of Solids, Vol. 36, pp. 809-825.
  18. Jin, Z. and Sun C.T., 2005, "Cohesive Zone Modeling of Interface Fracture in Elastic Bi-materials," Engineering Fracture Mechanics, Vol. 72, pp. 1805-1817. https://doi.org/10.1016/j.engfracmech.2004.09.011
  19. ABAQUS User's Manual, Version 6.11, 2012, Dassault Systèmes Simulia Corp., Providence, RI, USA.
  20. Maerky, C., Guillou, M.-O., Henshall, J.L. and Hopper, R.M., 1996, "Indentation hardness and fracture toughness in single crystal TiC0.96. Materials Science and Engineering A, Vol. 209, pp. 329-336. https://doi.org/10.1016/0921-5093(95)10152-7
  21. Jang, J. and Pharr, G.M., 2008, "Influence of Indenter Angle on Cracking in Si and Ge During Nanoindentation," Acta Materialia, Vol. 56, pp. 4458-4469. https://doi.org/10.1016/j.actamat.2008.05.005
  22. Oliver, W. C. and Pharr, G. M., 1992, "An Improved Technique for Determining Hardness and Elastic Modulus Using Load and Displacement Sensing Indentation Experiments," Journal of Materials Research, Vol. 7, pp. 1564-1583. https://doi.org/10.1557/JMR.1992.1564
  23. Shim, S., Oliver, W.C. and Pharr, G.M., 2007, "A Comparison of 3D Finite Element Simulation for Berkovich and Conical Indentation of Fused Silica," International Journal of Surface Science and Engineering, Vol. 1, pp. 259-273. https://doi.org/10.1504/IJSURFSE.2007.015028