w. Lee et aL. / Composites Science and Technology 66(2006)435-443 B8 Chawla KK. Ceramic matrix composites. L 20] Phillipps AJ, Clegg WJ. Clyne Tw. Fracture behaviour of ceramic laminates in bending. Part Il of model predictions 9 He M-Y, Hutchinson Jw. Crack deflection between dissimilar elastic materials. Int I solids interface data. Acta Metall Mater 1993: 41(3): 819-27 [21] Rice JR A path independent integral and approximation analysi 98925(9):1053-67 f strain concentration by notches and cracks. J Appl Mech [10 Dundurs J. Edge-bonded dissimilar orthogonal elastic wedges. J ppl Mech(Trans ASME)1969: 36(5): 650-2 222 Smelser RE, Gurtin ME. On the J-integral for bi-material bodies. [n Martinez D, Gupta VJ. Energy criterion for crack deflection at an Int j Fracture 1977: 13: 382-4 interface between two orthotropic media. J Mech Phys Solid [23] Parks DM. The virtual crack extension method for nonli 994:42(8:1247-71 material behaviour. Comp Method Appl Mech Eng [2 He M-Y. Evans AG, Hutchinson Jw. Crack deflection at an 1977;12:353-64 interface between dissimilar elastic materials. 224 Shih CF, Moran B, Nakamura T. Energy release rate along resses. Int J Solids Struct 1994; 31(24): 3443-55 hree-dimensional crack front in a thermally stressed body. Int [13] Leguillon D, Lacroix C, Martin E. Crack deflection by an Fracture1986:30:79102. interface asymptotics of the residual thermal stresses. Int I Hutchinson Jw, Suo Z. Mixed mode cracking in layered Solids Structures 2001: 38(42-43): 7423-45 materials. Adv Appl Mech 1991: 29(1): 63-19 14]Clegg WJ. The fabrication and failure of laminar ceramic 6 Shih CF, Asaro RJ. Elastic-plastic analysis of crack on bimaterial composites. Acta Metall Mater 1992: 40(11): 3085-93 interfaces: Part I-small scale yielding. J Appl Mech(Trans [15] Clegg WJ, Howard SJ, Lee W, Phillipps AJ, Stewart RA ASME)1988:55:299316 nterfacial cracking in ceramic laminates. Comp Interface 227 Henshell RD. Shaw KG. Crack tip finite elements are unneces- 1994:2(5):337-49 sary. Int J Num Meth Eng 1975: 9: 495-507. [16] Zak AR, williams ML. Crack point stress singularities at a b- 8 Ahn BK, Curtin WA, Parthasarathy TA, Dutton RE. Criteria for material interface. J Appl Mech(Trans ASME)1963: 27(2): 142-3 crack deflection/penetration for fiber-reinforced ceramic matrix 7 Gere JM, Timoshenko SP. Mechanics of materials. 3rd SI composites. Comp Sci Tech 1998: 58(11): 1775-84 d. London: Chapman and Hall: 1993 229]Romeo A. Ballarini R. A cohesive zone model for cracks 18 Kendall K. Transition between cohesive and interfacial failure in terminating at a bimaterial interface. Int j Solids Structures a laminate. Proc R Soc Lond A 1975: 344: 287-302 1997:34(11):1307-26. 19]Gupta V, Yuan J, Martinez D. Calculation, measurement, and [30] Lee W, Shin H. Effect of in-plane residual stresses on the post- ontrol of interface strength in composites. J Am Ceram Soc deflection behaviour of a T-shaped deflected crack in layered systems. Phil Mag2003:83(8):985-1006[8] Chawla KK. Ceramic matrix composites. London: Chapman and Hall; 1993. [9] He M-Y, Hutchinson JW. Crack deflection at an interface between dissimilar elastic materials. Int J Solids Struct 1989;25(9):1053–67. [10] Dundurs J. Edge-bonded dissimilar orthogonal elastic wedges. J Appl Mech (Trans ASME) 1969;36(5):650–2. [11] Martinez D, Gupta VJ. Energy criterion for crack deflection at an interface between two orthotropic media. J Mech Phys Solids 1994;42(8):1247–71. [12] He M-Y, Evans AG, Hutchinson JW. Crack deflection at an interface between dissimilar elastic materials: Role of residual stresses. Int J Solids Struct 1994;31(24):3443–55. [13] Leguillon D, Lacroix C, Martin E. Crack deflection by an interface — asymptotics of the residual thermal stresses. Int J Solids Structures 2001;38(42–43):7423–45. [14] Clegg WJ. The fabrication and failure of laminar ceramic composites. Acta Metall Mater 1992;40(11):3085–93. [15] Clegg WJ, Howard SJ, Lee W, Phillipps AJ, Stewart RA. Interfacial cracking in ceramic laminates. Comp Interfaces 1994;2(5):337–49. [16] Zak AR, Williams ML. Crack point stress singularities at a b￾material interface. J Appl Mech (Trans ASME) 1963;27(2):142–3. [17] Gere JM, Timoshenko SP. Mechanics of materials. 3rd SI ed. London: Chapman and Hall; 1993. [18] Kendall K. Transition between cohesive and interfacial failure in a laminate. Proc R Soc Lond A 1975;344:287–302. [19] Gupta V, Yuan J, Martinez D. Calculation, measurement, and control of interface strength in composites. J Am Ceram Soc 1993;76(2):305–15. [20] Phillipps AJ, Clegg WJ, Clyne TW. Fracture behaviour of ceramic laminates in bending. Part II – comparison of model predictions with experimental data. Acta Metall Mater 1993;41(3):819–27. [21] Rice JR. A path independent integral and approximation analysis of strain concentration by notches and cracks. J Appl Mech (Trans ASME) 1968;35:379–86. [22] Smelser RE, Gurtin ME. On the J-integral for bi-material bodies. Int J Fracture 1977;13:382–4. [23] Parks DM. The virtual crack extension method for nonlinear material behaviour. Comp Method Appl Mech Eng 1977;12:353–64. [24] Shih CF, Moran B, Nakamura T. Energy release rate along a three-dimensional crack front in a thermally stressed body. Int J Fracture 1986;30:79–102. [25] Hutchinson JW, Suo Z. Mixed mode cracking in layered materials. Adv Appl Mech 1991;29(1):63–191. [26] Shih CF, Asaro RJ. Elastic–plastic analysis of crack on bimaterial interfaces: Part I – small scale yielding. J Appl Mech (Trans ASME) 1988;55:299–316. [27] Henshell RD, Shaw KG. Crack tip finite elements are unneces￾sary. Int J Num Meth Eng 1975;9:495–507. [28] Ahn BK, Curtin WA, Parthasarathy TA, Dutton RE. Criteria for crack deflection/penetration for fiber-reinforced ceramic matrix composites. Comp Sci Tech 1998;58(11):1775–84. [29] Romeo A, Ballarini R. A cohesive zone model for cracks terminating at a bimaterial interface. Int J Solids Structures 1997;34(11):1307–26. [30] Lee W, Shin H. Effect of in-plane residual stresses on the post￾deflection behaviour of a T-shaped deflected crack in layered systems. Phil Mag 2003;83(8):985–1006. W. Lee et al. / Composites Science and Technology 66 (2006) 435–443 443