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J. Ye, AK Kaw Theoretical and Applied Fracture Mechanics 32(1999)15-25 modulus ratio, and fiber volume fraction are [RJ. Kearns, T.A. Parthasarthy, Theoretical analysis of the varied. This 20% difference translates to similar It and pushout test, J. Am. Ceram Soc. 74(7) magnitudes of differences in the extracted value (1991)15851596 of the coefficient of friction [8S. Trimula, H. Madanaraj, A K. Kaw, G.H. Besterfield, J. Ye. Effect of extrinsic and intrinsic factors on an indentation test. Int J Solids Struct. 33(24)(1996)3497- References [9A. Dollar, P.S. Steif, Y.S. Wang, C.Y. Hui, Analyses of the fiber pushout test, Int J Solids Struct. 30 (10)(1993)1313- [K.T. Faber, Ceramic composite interfaces: properties and design, Ann. Rev. Mater. Sci. 27(1997)499-524 [10] C.A. Brebbia, J. Dominguez, Boundary elements an intro [2]D B. Marshall, An indentation method for measuring ductory course, Computational Mechanics, McGraw-Hill, natrix-fiber frictional stresses in ceramic composites. J.Am. Ceram.Soc.67(12)(1984)C259C260. [ w.s. Hale, The Boundary Element Method 3]Jw. Laughner, NJ. Shaw, R.T. Bhatt, J.A. DiCarlo, Boston. 1994 Simple indentation method for measurement of interfacial [12] J H. Kane, Boundary Element Analysis in Er shear strength in SiC/Si, N4 composites, presented at the Continuum mechanics. Prentice hall. englewoo NJ.1994 10th Annual Conference on Composites and Advanced eramic Materials, American Ceramic Society, Cocoa [3 M. Kuntz, K.H. Schlapschi, B. Meier, G. Grathwohl h.FL.1986 Evaluation of interface parameters in pushout and pull-out (M.K. Brun, R.N. Singh, Measurements of interfacial shear tests, Composites 25(7)(1994)476-481 ength in fiber-reinforced composites, presented at the [14 M. Kuntz, Experimental data sent via e-mail to the second h Annual Meeting of the American Ceramic Society, Pittsburgh, PA, 1987. [5A. K. Kaw, N.J. Pagano, Axisymmetric thermoelastic []D K. Shetty, Shear-lag analysis of fiber pushout (Inden response of a composite cylinder containing tation) tests for estimating interfacial friction stress in crack, J. Comput. Mater. 27(1993)540-571 ceramic-matrix composites, J. Am. Ceram. Soc. 71(2) [16 H.J. Oel, F. Fredette, Stress distribution in multiphase (1988)C107-C109 systems: II. Composite disks with cylindrical interfaces, [6 M. Kuntz, B. Meier, G. Grathwohl, Residual stresses in J.Am. Ceran.Soc.69(4)(1986)342-346. fiber-reinforced ceramics due to thermal expansion mis- atch,J.Am. Cera.Soc.76(10)(1993)2607-2612.modulus ratio, and ®ber volume fraction are varied. This 20% di€erence translates to similar magnitudes of di€erences in the extracted value of the coecient of friction. References [1] K.T. Faber, Ceramic composite interfaces: properties and design, Ann. Rev. Mater. Sci. 27 (1997) 499±524. [2] D.B. Marshall, An indentation method for measuring matrix±®ber frictional stresses in ceramic composites, J. Am. Ceram. Soc. 67 (12) (1984) C259±C260. [3] J.W. Laughner, N.J. Shaw, R.T. Bhatt, J.A. DiCarlo, Simple indentation method for measurement of interfacial shear strength in SiC/Si3N4 composites, presented at the 10th Annual Conference on Composites and Advanced Ceramic Materials, American Ceramic Society, Cocoa Beach, FL, 1986. [4] M.K. Brun, R.N. Singh, Measurements of interfacial shear strength in ®ber-reinforced composites, presented at the 89th Annual Meeting of the American Ceramic Society, Pittsburgh, PA, 1987. [5] D.K. Shetty, Shear±lag analysis of ®ber pushout (Inden￾tation) tests for estimating interfacial friction stress in ceramic-matrix composites, J. Am. Ceram. Soc. 71 (2) (1988) C107±C109. [6] M. Kuntz, B. Meier, G. Grathwohl, Residual stresses in ®ber-reinforced ceramics due to thermal expansion mis￾match, J. Am. Ceram. Soc. 76 (10) (1993) 2607±2612. [7] R.J. Kearns, T.A. Parthasarthy, Theoretical analysis of the ®ber pullout and pushout test, J. Am. Ceram. Soc. 74 (7) (1991) 1585±1596. [8] S. Trimula, H. Madanaraj, A.K. Kaw, G.H. Bester®eld, J. Ye, E€ect of extrinsic and intrinsic factors on an indentation test, Int. J. Solids Struct. 33 (24) (1996) 3497± 3516. [9] A. Dollar, P.S. Steif, Y.S. Wang, C.Y. Hui, Analyses of the ®ber pushout test, Int. J. Solids Struct. 30 (10) (1993) 1313± 1329. [10] C.A. Brebbia, J. Dominguez, Boundary elements an intro￾ductory course, Computational Mechanics, McGraw-Hill, New York, 1989. [11] W.S. Hale, The Boundary Element Method, Kluwer, Boston, 1994. [12] J.H. Kane, Boundary Element Analysis in Engineering Continuum Mechanics, Prentice Hall, Englewood Cli€s, NJ, 1994. [13] M. Kuntz, K.H. Schlapschi, B. Meier, G. Grathwohl, Evaluation of interface parameters in pushout and pull-out tests, Composites 25 (7) (1994) 476±481. [14] M. Kuntz, Experimental data sent via e-mail to the second author, 1998. [15] A.K. Kaw, N.J. Pagano, Axisymmetric thermoelastic response of a composite cylinder containing an annular crack, J. Comput. Mater. 27 (1993) 540±571. [16] H.J. Oel, F. Fredette, Stress distribution in multiphase systems: II. Composite disks with cylindrical interfaces, J. Am. Ceram. Soc. 69 (4) (1986) 342±346. J. Ye, A.K. Kaw / Theoretical and Applied Fracture Mechanics 32 (1999) 15±25 25
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