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Additional info for Advances in Joining of Ceramics, Volume 138
When the moduli of the end members are the same, then at very high applied loads, one would expect the crack to exhibit a crack kink angle of zero since the only asymmetry at the crack tip is due to the residual stress the magnitude of which is negligible compared to the applied stress. The model was not executed at these very high loads, but it does appear that this iso-elastic modulus curve is converging towards zero kink angle. Earlier studies have revealed that in the presence of elastic mismatch, at very high applied loads, the crack shows a tendency to kink towards the more compliant side of the joint, at a value that becomes independent of applied load5.
1310 (1993). 2 J. T. Drake, R. L. Williamson and B. H. Rabin. "Finite Element Analysis of Thermal Residual Stresses at Graded Ceramic-Metal Interfaces. Part 2. Interface Optimization for Residual Stress Reduction", J\ Appl Phys. 74 (2) p. 1321 (1993). 3 R. D. Torres, I. E. Reimanis, J. J. Moore, and G. W. Mustoe. "Design and Synthesis of Functionally Graded Composites: The TiB2/NiAl System", in Processing & Design Issues in High Temperature Materials, edited by N. S. Stolloff and R. H. Jones, The Minerals, Metals & Materials Society, Warrendale, PA (1997).
H. Park and D. Han, "Joining of silicon carbide using Mg0-Al 2 0 3 -Si02 filler", J. Mat. Sci. 33 : 5007-5014, 1998. 68. D. G. Duh, "Bonding Mechanism of Electrodes Ni-P Film with AIN substrate and Cu Foil," IEEE Transactions on Components Packaging and Manufacturing Technology Part A, 21  330-344,1998. 69. A. P. Wu, G. S. Zou, J. L. Ren, W. J. Li, "Heat-resistant joints of Si3N4 ceramics with intermetallic compounds formed in situ", J. Mater. , 36: 2673 -2678, 2001. 70. U. Reichel and H.