참고문헌
- Abramowitz, M. and Stegun, I. A., 1972, Handbook of Mathematical Functions, Dover Publications, New York, pp. 771-802
- Anlas, G., Santare, M. H. and Lambros, J., 2000, 'Numerical Calculation of Stress Intensity Factors in Functionally Graded Materials,' International Journal of Fracture, Vol. 104, pp: 131-143 https://doi.org/10.1023/A:1007652711735
- Bap, G. and Cai, H., 1997, 'Delamination Cracking in Functionally Graded Coating/Metal Substrate Systems,' Acta Materialia, Vol. 45, pp. 1055-1066 https://doi.org/10.1016/S1359-6454(96)00232-7
- Chen, Y. F. and Erdogan, F., 1996, 'The Interface Crack Problem for a Nonhomogeneous Coating Bonded to a Homogeneous Substrate,' Journal of the Mechanics and Physics of Solids, Vol. 44, pp. ,771-787 https://doi.org/10.1016/0022-5096(96)00002-6
- Choi, H. J., 1997, 'Mode I Interaction of a Periodic Array of Parallel Cracks in a Functionally Graded Nonhomogeneous Plane,'KSME International Journal, Vol. 11, pp. 239-248
- Davis, P. J. and Rabinowitz, P., 1984, Method of numerical Integration, 2nd Ed., Academic Press, New York, pp. 51-198
- Delale, F. and Erdogan, F., 1988, 'Interface Crack in a Nonhomogeneous Elastic Medium,' International Journal of Engineering Science, Vol. 26, pp. 559-568 https://doi.org/10.1016/0020-7225(88)90054-7
- Erdogan, F., 1995, 'Fracture Mechanics of Functionally Graded Materials,' Composites Engineering, Vol. 5, pp. 753-770
- Erdogan, F., Kaya, A. C. and Joseph, P. F., 1991a, 'The Crack Problem in Bonded Nonhomogeneous Materials,' ASME Journal of Applied Mechanics, Vol. 58, pp. 410-418
- Erdogan, F., Kaya, A. C. and Joseph, P. F., 1991b, 'The Mode III Crack Problem in Bonded Materials With a Nonhomogeneous Interfacial Zone,' ASME Journal of Applied Mechanics, Vol. 58, pp. 419-427
- Friedman, B., 1969, Lectures on Application-Oriented Mathematics, Holden-Day, SanFrancisco, pp. 17-23
- Gu, P., Dao, M. and Asaro, R. J., 1999, 'A Simplified Method for Calculating the Crack-Tip Field of Functionally Graded Materials Using the Domain Integral,' ASME Journal of Applied Mechanics, Vol. 66, pp. 101-108
- Jin, Z. -H. and Batra, R. C, 1996, 'Interface Cracking Between Functionally Graded Coatings and a Substrate Under Antiplane Shear,' International Journal of Engineering Science, Vol. 34, pp. 1705-1716 https://doi.org/10.1016/S0020-7225(96)00055-9
- Jin, Z. -H. and Noda, N., 1994, 'Crack-Tip Singular Fields in Nonhomogeneous Materials,' ASME Journal of Applied Mechanics, Vol. 61, pp. 738-740
- Koizumi, M., 1993, 'The Concept of FGM,' Ceramic Transactions: Functionally Gradient Materials, edited by Holt, J. B. et al., American Ceramic Society, Vol. 34, pp. 3-10
- Konda, N. and Erdogan, F. 1994, 'The Mixed Mode Crack Problem in a Nonhomogeneous Elastic Medium,' Engineering Fracture Mechanics, Vol. 47, pp. 533-545 https://doi.org/10.1016/0013-7944(94)90253-4
- Lee, Y. -D. and Erdogan, F., 1994, 'Residual/ Thermal Stresses in FGM and Laminated Thermal Barrier Coatings,' International Journal of Fracture, Vol. 69, pp. 145-165 https://doi.org/10.1007/BF00035027
- Martin, P. A., 1992, 'Tip Behaviour for Cracks in Bonded Inhomogeneous Materials,' Journal of Engineering Mathematics, Vol. 26, pp. 467-480 https://doi.org/10.1007/BF00042764
- Muskhelishvili, N. I., 1953, Singular Integral Equations, Noordhoff, The Netherlands, pp. 113-162
- Rice, J. R., 1988, 'Elastic Fracture Mechanics Concepts for Interfacial Cracks,' ASME Journal of Applied Mechanics, Vol. 55, pp. 98-103
- Romeo, A. and Ballarini, R., 1995, 'A Crack Very Close to a Bimaterial Interface,' ASME Journal of Applied Mechanics, Vol. 62, pp. 614 -619
- Schovanec, L. and Walton, J. R., 1988, 'On the Order of the Stress Singularity for an Antiplane Shear Crack at the Interface of Two Bonded Inhomogeneous Elastic Materials,' ASME Journal of Applied Mechanics, Vol. 55, pp. 234-236
- Shbeeb, N. I. and Binienda, W. K., 1999, 'Analysis of an Interface Crack for a Functionally Graded Strip Sandwiched Between Two Homogeneous Layers of Finite Thickness,' Engineering Fracture Mechanics, Vol. 64, pp. 693 -720 https://doi.org/10.1016/S0013-7944(99)00099-5
- Suresh, S. and Mortensen, A., 1997, 'Functionally Graded Metals and Metal-Ceramic Composites: Part 2 Thermomechanical Behaviour,' International Materials Reviews, Vol. 42, pp. 85-116