Prediction of fracture toughness of ceramic composites as function of microstructure: I. Numerical simulations

Journal of the Mechanics and Physics of Solids

Volumn 61, Issue 2, 2013, Pages 472-488

  Li, Yan ^a   Zhou, Min ^a,b  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b Seoul National University   (South Korea)

Author keywords

Cohesive finite element method; Fracture toughness; Microstructure fracture toughness relations; Weibull distribution

Indexed keywords

ARBITRARY CRACK; BONDING STRENGTH; CERAMIC COMPOSITES; COHESIVE FINITE ELEMENT METHODS; COMPUTATIONAL FRAMEWORK; FINE MICROSTRUCTURE; FRACTURE BEHAVIOR; FRACTURE MECHANISMS; FRACTURE PROCESS; HETEROGENEOUS PHASE; J INTEGRAL; MACROSCOPIC MATERIALS; MATERIAL RESPONSE; MATERIAL SCIENCE; MICRO-STRUCTURAL; MICROSTRUCTURE-FRACTURE TOUGHNESS RELATIONS; MULTISCALES; PHASE DISTRIBUTION; PHASE MORPHOLOGY; PHASE SIZE; SIZE SCALE;

CERAMIC MATERIALS; CRACKS; FATIGUE OF MATERIALS; FINITE ELEMENT METHOD; FRACTURE; FRACTURE TOUGHNESS; FUNCTION EVALUATION; MORPHOLOGY; REINFORCEMENT; WEIBULL DISTRIBUTION;

MICROSTRUCTURE;

EID: 84871434882     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2012.09.013     Document Type: Article

References (42)

1. T.L. Anderson Fracture Mechanics: Fundamentals and Applications 1995 CRC Press, New York, US
2. J.G. Berryman, and S.C. Blair Use of digital image analysis to estimate fluid permeability of porous materials: application of two-point correlation functions J. Appl. Phys. 60 1986 1930
3. G.T. Camacho, and M. Ortiz Computational modelling of impact damage in brittle materials Int. J. Solids Struct. 33 1996 2899 2938 (Pubitemid 126377006)
4. D. Casellas, M.M. Nagl, L. Llanes, and M. Anglada Fracture toughness of alumina and ZTA ceramics: microstructural coarsening effects J. Mater. Process. Technol. 143-144 2003 148 152
5. D.A. Curry, and J.F. Knott The relationship between fracture toughness and microstructure in the cleavage fracture of mild steel Met. Sci. 10 1976 1 6
6. P. Doig Evaluation of lower bound fracture-toughness values using Weibull analysis of single specimen data Eng. Fract. Mech. 21 1985 963 967 (Pubitemid 15548137)
7. J. Duffy, S. Suresh, K. Cho, and E.R. Bopp A method for dynamic fracture initiation testing of ceramics J. Eng. Mater. Technol. 110 1988 325 331
8. H.D. Espinosa, S. Dwivedi, and H.C. Lu Modeling impact induced delamination of woven fiber reinforced composites with contact/cohesive laws Comput. Method Appl. Mech. 183 2000 259 290 (Pubitemid 30236808)
9. A.G. Evans Perspective on the development of high-toughness ceramics J. Am. Ceram. Soc. 73 1990 187 206
10. L.B. Freund Dynamic Fracture Mechanics 1998 Cambridge University Press, Cambridge, UK
11. J.N. Hall, J.W. Jones, and A.K. Sachdev Particle-size, volume fraction and matrix strength effects on fatigue behavior and particle fracture in 2124 Aluminum-Sicp composites Mater. Sci. Eng. A 183 1994 69 80
12. A.S. Kobayashi, M. Ramulu, M.S. Dadkhah, K.H. Yang, and B.S.J. Kang Dynamic fracture toughness Int. J. Fract. 30 1986 275 285
13. S. Kumai, J.E. King, and J.F. Knott Fatigue in Sic-particulate-reinforced Aluminum-alloy composites Mater. Sci. Eng. A 146 1991 317 326
14. Li, Y.; Zhou, M. Prediction of fracture toughness of ceramic composites as a function of microstructure: II. Analytical model. J. Mech. Phys. Solids, http://dx.doi.org/10.1016/j.jmps.2012.09.011, in press.
15. T. Lin, A.G. Evans, and R.O. Ritchie Statistical analysis of cleavage fracture ahead of sharp cracks and rounded notches Acta Metall. Mater. 34 1986 2205 2216 (Pubitemid 17461342)
16. C.Y. Lo, and T. Nakamura Computational analysis of dynamically propagating cracks in axisymmetric solids Int. J. Fract. 70 1993 217 235
17. Logan, K.V.; 1996. Composite Ceramics, Final Technical Report. USSTACOM DAAEO7-95-C-R040.
18. J.F.M.G.B. Mandell, and F.J. McGarry Interlaminar Strength and Toughness of Fiberglass Laminates 1974 The Society of the Plastics Industry, Inc. Washington, D.C. (13-C)
19. M. Manoharan, and S.V. Kamat A micro-mechanical model for crack growth resistance of particulate-reinforced metal-matrix composites J. Mater. Sci. 28 1993 5218 5222
20. B. Moran, and C.F. Shih A general treatment of crack tip contour integrals Int. J. Fract. 35 1987 295 310 (Pubitemid 18544222)
21. T. Nakamura, C.F. Shih, and L.B. Freund Computational methods based on an energy integral in dynamic fracture Int. J. Fract. 27 1985 229 243
22. A. Needleman An analysis of tensile decohesion along an interface J. Mech. Phys. Solids 38 1990 289 324
23. M. Ortiz, and A. Pandolfi Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis Int. J. Numer. Methods Eng. 44 1999 1267 1282
24. A. Pandolfi, and M. Ortiz An efficient adaptive procedure for three-dimensional fragmentation simulations Eng. Comput. 18 2002 148 159 (Pubitemid 34979895)
25. J.C. Russ The Image Processing Handbook 2007 CRC Press, New York, US
26. S. Samborski, and T. Sadowski Dynamic fracture toughness of porous ceramics rapid communications of the American Ceramic Society J. Am. Ceram. Soc. 93 2010 3607 3609
27. M. Seul Practical Algorithms for Image Analysis: Description, Examples, and Code 2000 Cambridge University Press Cambridge, MA (O.G.L.S.M.J.)
28. A. Tewari, A.M. Gokhale, J.E. Spowart, and D.B. Miracle Quantitative characterization of spatial clustering in three-dimensional microstructures using two-point correlation functions Acta Metall. Mater. 52 2004 307 319
29. V. Tomar, J. Zhai, and M. Zhou Bounds for element size in a variable stiffness cohesive finite element model Int. J. Numer. Methods Eng. 61 2004 1894 1920 (Pubitemid 39558471)
30. S. Torquato, and H.W. Haslach Jr. Random heterogeneous materials: microstructure and macroscopic properties Appl. Mech. Rev. 55 2002 B62 B63
31. K. Toshiro, M. Kenji, I. Hideki, and M. Kenya Evaluation of static and dynamic fracture toughness in ceramics Eng. Fract. Mech. 31 1988 873 885
32. D.M. Valiveti, and S. Ghosh Morphology based domain partitioning of multi-phase materials: a preprocessor for multi-scale modelling Int. J. Numer. Methods Eng. 69 2007 1717 1754
33. IC - results Eng. Fract. Mech. 19 1984 1085 1093
34. K. Wallin Macroscopic nature of brittle fracture J. Phys. IV 3 IV 1993 575 584 (Colloque C7, Supplément au J Phys III)
35. K. Wallin, K. Törrönen, R. Ahlstrand, B. Timofeev, V. Rybin, V. Nikolaev, and A. Morozov Theory based statistical interpretation of brittle fracture toughness of reactor pressure vessel steel 15X2MφA and its welds Nucl. Eng. Des. 135 1992 239 246
36. W. Weibull A statistical theory of the strength of materials Ing. Vetenskaps. Akad. Handl. 151 1939 1 45
37. S.M. Wiederhorn Brittle-fracture and toughening mechanisms in ceramics Annu. Rev. Mater. Sci. 14 1984 373 403
38. X.P. Xu, and A. Needleman Numerical simulations of dynamic interfacial crack growth allowing for crack growth away from the bond line Int. J. Fract. 74 1985 253 275
39. X.P. Xu, and A. Needleman Numerical simulations of fast crack-growth in brittle solids J. Mech. Phys. Solids 42 1994 1397
40. C. Yu Three-Dimensional Cohesive Modeling of Impact Damage of Composites 2001 Caltech Pasadena, CA
41. J. Zhai, V. Tomar, and M. Zhou Micromechanical simulation of dynamic fracture using the cohesive finite element method J. Eng. Mater. Technol. 126 2004 179 191 (Pubitemid 40122750)
42. T.I. Zohdi, and P. Wriggers An Introduction to Computational Micromechanics 2008 Springer-Verlag GmbH, Germany