참고문헌
- Eshelby, J. D., 1957, "The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems," Proceedings of the Royal Society of London, Series A, A241, pp. 376-396.
- Hashin, Z., 1972, Theory of Fiber Reinforced Materials, NASA CR-1974.
- Achenbach, J. D. and Zhu, H., 1990, "Effect of Interphases on Micro and Macromechanical Behavior of Hexagonal-Array Fiber Composites," Transactions of ASME, Journal of Applied Mechanics, Vol. 57, pp. 956-963. https://doi.org/10.1115/1.2897667
- Lee, J. K. and Mal, A. K., 1997 (Mar.), "A Volume Integral Equation Technique for Multiple Inclusion and Crack Interaction Problems," Transactions of the ASME, Journal of Applied Mechanics, Vol. 64, pp. 23-31. https://doi.org/10.1115/1.2787282
- Lee, J. and Mal, A., 1998, "Characterization of Matrix Damage in Metal Matrix Composites under Transverse Loads," Computational Mechanics, Vol. 21, pp. 339-346. https://doi.org/10.1007/s004660050310
- Naboulsi, S., 2003, "Modeling Transversely Loaded Metal-Matrix Composites," Journal of Composite Materials, Vol. 37, pp. 55-72. https://doi.org/10.1177/0021998303037001468
- Lee, J. K., Han, H. D. and Mal, A., 2006, "Effects of Anisotropic Fiber Packing on Stresses in Composites," Computer Methods in Applied Mechanics and Engineering, Vol. 195, No. 33-36, pp. 4544-4556. https://doi.org/10.1016/j.cma.2005.10.012
- Ju, J. W. and Ko, Y. F., 2008, "Micromechanical Elastoplastic Damage Modeling for Progressive Interfacial Arc Debonding for Fiber Reinforced Composites," International Journal of Damage Mechanics, Vol. 17, pp. 307-356. https://doi.org/10.1177/1056789508089233
- Jasiuk, I., 1995, "Cavities vis-a-vis Rigid Inclusions: Elastic Moduli of Materials with Polygonal Inclusions," International Journal of Solids and Structures, Vol. 32 (3-4), pp. 407-422. https://doi.org/10.1016/0020-7683(94)00119-H
- Noda, N.-A., Kawashima, Y., Moriyama, S. and Oda, K., 1996, "Interaction of Newly Defined Stress Intensity Factors for Angular Corners in a Row of Diamond-Shaped Inclusions," International Journal of Fracture, Vol. 82, pp. 267-295. https://doi.org/10.1007/BF00013162
- Rodin, G. J., 1996, "Eshelby'S Inclusion Problem for Polygons and Polyhedra," Journal of the Mechanics and Physics of Solids, Vol. 44 (12), pp. 1977-1995. https://doi.org/10.1016/S0022-5096(96)00066-X
- Ru, C. Q., 1999, "Analytic Solution for Eshelby's Problem of an Inclusion of Arbitrary Shape in a Plane or Half-Plane," Transactions of ASME, Journal of Applied Mechanics, Vol. 66, pp. 315-322. https://doi.org/10.1115/1.2791051
- Nakasone, Y., Nishiyama, H. and Nojiri, T., 2000, "Numerical Equivalent Inclusion Method: a New Computational Method for Analyzing Stress Fields in and around Inclusions of Various Shapes," Materials Science and Engineering: A, Vol. 285, pp. 229-238. https://doi.org/10.1016/S0921-5093(00)00637-7
- Kawashita, M. and Nozaki, H., 2001, "Eshelby Tensor of a Polygonal Inclusion and Its Special Properties," Journal of Elasticity, Vol. 64, pp. 71-84. https://doi.org/10.1023/A:1014880629679
- Nozaki, H., Horibe, T. and Taya, M., 2001, "Stress Field Caused by Polygonal Inclusion," JSME International Journal, Vol. 44 (4), pp. 472-482. https://doi.org/10.1299/jsmea.44.472
- Nakai, T. and Nozaki, H., 2008, "A Numerical Equivalent Inclusion Method Using the Solution of Polyhedral Inclusions," Bulletin of the College of Education Ibaraki University, Vol. 57, pp. 105-112.
- Dong, C. Y., Lo, S. H. and Cheung, Y. K., 2003, "Numerical Solution of 3D Elastostatic Inclusion Problems Using the Volume Integral Equation Method," Computer Methods in Applied Mechanics and Engineering, Vol. 192 (1-2), pp. 95-106. https://doi.org/10.1016/S0045-7825(02)00534-0
- Franciosi, P., 2005, "On the Modified Green Operator Integral for Polygonal, Polyhedral and Other Non-Ellipsoidal Inclusions," International Journal of Solids and Structures, Vol. 42 (11-12), pp. 3509-3531. https://doi.org/10.1016/j.ijsolstr.2004.11.007
- Chen, M.-C. and Ping, X.-C., 2009, "Analysis of the Interaction within a Rectangular Array of Rectangular Inclusions Using a New Hybrid Finite Element Method," Engineering Fracture Mechanics, Vol. 76, pp. 580-593. https://doi.org/10.1016/j.engfracmech.2008.12.002
- Zou, W., He, Q., Huang, M. and Zheng, Q., 2010, "Eshelby's Problem of Non-Elliptical Inclusions," Journal of the Mechanics and Physics of Solids, Vol. 58(3), pp. 346-372. https://doi.org/10.1016/j.jmps.2009.11.008
- Lee, J. K., 2010, "Volume Integral Equation Method for Multiple Isotropic Inclusion Problems in an Infinite Solid Under Uniaxial Tension," Transactions of the KSME A, Vol. 34(7), pp. 881-889. https://doi.org/10.3795/KSME-A.2010.34.7.881
- ADINA User's Manual, 2008, Version 8.5, ADINA R & D, Inc..
- Lee, J. K. and Mal, A. K., 1995, "A Volume Integral Equation Technique for Multiple Scattering Problems in Elastodynamics," Applied Mathematics and Computation, Vol. 67, pp. 135-159. https://doi.org/10.1016/0096-3003(94)00057-B
- Lee, K. J. and Mal, A. K., 1990, "A Boundary Element Method for Plane Anisotropic Elastic Media," Transactions of ASME, Journal of Applied Mechanics, Vol. 57, pp. 600-606. https://doi.org/10.1115/1.2897065
- Buryachenko, V. A., 2007, Micromechanics of Heterogeneous Materials, Springer, New York.
- Banerjee, P. K., 1993, The Boundary Element Methods in Engineering, McGraw-Hill, England.
- PATRAN User's Manual, 1998, Version 7.0, MSC/PATRAN.
- Hardiman, N. J., 1954, "Elliptic Elastic Inclusion in a n Infinite Elastic Plate," Quarterly Journal of Mechanics and Applied Mathematics, Vol. 7 (2), pp. 226-230. https://doi.org/10.1093/qjmam/7.2.226
- Mal, A. K. and Singh, S. J., 1991, Deformation of Elastic Solids, Prentice Hall, New Jersey.
- Hwu, C. and Yen, W. J., 1993 (Sep.), "On the Anisotropic Elastic Inclusions in Plane Elastostatics," Transactions of ASME, Journal of Applied Mechanics, Vol. 60, pp. 626-632. https://doi.org/10.1115/1.2900850
- Lee, J. K., Choi, S. J. and Mal, A., 2001, "Stress Analysis of an Unbounded Elastic Solid with Orthotropic Inclusions and Voids Using a New Integral Equation Technique," International Journal of Solids and Structures, Vol. 38 (16), pp. 2789-2802. https://doi.org/10.1016/S0020-7683(00)00182-7
- Wang, X., Pan, E. and Sudak, L. J., 2008, "Uniform Stresses inside an Elliptical Inhomogeneity with an Imperfect Interface in Plane Elasticity," Transactions of ASME, Journal of Applied Mechanics, Vol. 75, pp. 054501-1-054501-5. https://doi.org/10.1115/1.2913045