References
- Eshelby, J.D., "The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems," Proceedings of the Royal Society of London, Series A, A241, 1957, pp. 376-396.
- Hashin, Z., Theory of Fiber Reinforced Materials, NASA CR-1974, 1972.
- Achenbach, J.D., and Zhu, H., "Effect of Interphases on Micro and Macromechanical Behavior of Hexagonal-Array Fiber Composites," Transactions of ASME, Journal of Applied Mechanics, Vol. 57, 1990, pp. 956-963. https://doi.org/10.1115/1.2897667
- Lee, J.K., and Mal, A.K., "A Volume Integral Equation Technique for Multiple Inclusion and Crack Interaction Problems," Transactions of the ASME, Journal of Applied Mechanics, Vol. 64, 1997(Mar.), pp. 23-31. https://doi.org/10.1115/1.2787282
- Lee, J., and Mal, A., "Characterization of Matrix Damage in Metal Matrix Composites under Transverse Loads," Computational Mechanics, Vol. 21, 1998, pp. 339-346. https://doi.org/10.1007/s004660050310
- Naboulsi, S., "Modeling Transversely Loaded Metal-Matrix Composites," Journal of Composite Materials, Vol. 37, 2003, pp. 55-72. https://doi.org/10.1177/0021998303037001468
- Lee, J.K., Han, H.D., and Mal, A., "Effects of Anisotropic Fiber Packing on Stresses in Composites," Computer Methods in Applied Mechanics and Engineering, Vol. 195, No. 33-36, 2006, pp. 4544-4556. https://doi.org/10.1016/j.cma.2005.10.012
- Ju, J.W., and Ko, Y.F., "Micromechanical Elastoplastic Damage Modeling for Progressive Interfacial Arc Debonding for Fiber Reinforced Composites," International Journal of Damage Mechanics, Vol. 17, 2008, pp. 307-356. https://doi.org/10.1177/1056789508089233
- Nakasone, Y., Nishiyama, H., and Nojiri, T., "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, 2000, pp. 229-238. https://doi.org/10.1016/S0921-5093(00)00637-7
- Kawashita, M., and Nozaki, H., "Eshelby Tensor of a Polygonal Inclusion and Its Special Properties," Journal of Elasticity, Vol. 64, 2001, pp. 71-84. https://doi.org/10.1023/A:1014880629679
- Nozaki, H., Horibe, T., and Taya, M., "Stress Field Caused by Polygonal Inclusion," JSME International Journal, Vol. 44, No. 4, 2001, pp. 472-482. https://doi.org/10.1299/jsmea.44.472
- Nozaki, H., and Taya, M., "Elastic Fields in a Polyhedral Inclusion with Uniform Eigenstrains and Related Problems," Transactions of the ASME, Journal of Applied Mechanics, Vol. 68, 2001, pp. 441-452. https://doi.org/10.1115/1.1362670
- Nakai, T., and Nozaki, H., "A Numerical Equivalent Inclusion Method Using the Solution of Polyhedral Inclusions," Bulletin of the College of Education Ibaraki University, Vol. 57, 2008, pp. 105-112.
- Dong, C.Y., Lo, S.H., and Cheung, Y.K., "Numerical Solution of 3D Elastostatic Inclusion Problems Using the Volume Integral Equation Method," Computer Methods in Applied Mechanics and Engineering, Vol. 192, No. 1-2, 2003, pp. 95-106. https://doi.org/10.1016/S0045-7825(02)00534-0
- Bond, I., Hucker, M., Weaver, P., Bleay, S., and Haq, S., "Mechanical Behaviour of Circular and Triangular Glass Fibres and Their Composites," Composites Science and Technology, Vol. 62, 2002, pp. 1051-1061. https://doi.org/10.1016/S0266-3538(02)00035-0
- Chen, T., "Thermoelastic Properties and Conductivity of Composites Reinforced by Spherically Anisotropic Particles," Mechanics of Materials, Vol. 14, 1993, pp. 257-268. https://doi.org/10.1016/0167-6636(93)90081-2
- Johnson, W.C., Earmme, Y.Y., and Lee J.K, "Approximation of the Strain Field Associated with an Inhomogeneous Precipitate. I: Theory," Transactions of the ASME, Journal of Applied Mechanics, Vol. 47, 1980, pp. 775-780. https://doi.org/10.1115/1.3153789
- Kushch, V.I., "Interacting Cracks and Inclusions in a Solid by Multipole Expansion Method," International Journal of Solids and Structures, Vol. 35, 1998, pp. 1751-1762. https://doi.org/10.1016/S0020-7683(97)00159-5
- McPedran, R.C., and Movchan, A.B., "The Rayleigh Multipole Method for Linear Elasticity," Journal of Mechanics and Physics of Solids, Vol. 42, 1994, pp. 711-727. https://doi.org/10.1016/0022-5096(94)90039-6
- Moschovidis, Z.A., and Mura, T., "Two-Ellipsoidal Inhomogeneities by the Equivalent Inclusion Method," Transactions of the ASME, Journal of Applied Mechanics, Vol. 42, 1975, pp. 847-852. https://doi.org/10.1115/1.3423718
- Nakamura, T., and Suresh, S., "Effects of Thermal Residual Stresses and Fiber Packing on Deformation of Metal- Matrix Composites," Acta Metallurgica et Materialia, Vol. 41, 1993, pp. 1665-1681. https://doi.org/10.1016/0956-7151(93)90186-V
- Zhang, J., and Katsube, N., "A Hybrid Finite Element Method for Heterogeneous Materials with Randomly Dispersed Elastic Inclusions," Finite Elements in Analysis and Design, Vol. 19, 1995, pp. 45-55. https://doi.org/10.1016/0168-874X(94)00056-L
- Oh, J.H., Jin, K.K., and Ha, S.K., "Interfacial Strain Distribution of a Unidirectional Composite with Randomly Distributed Fibers under Transverse Loading," Journal of Composite Materials, Vol. 40, No. 9, 2006, pp. 759-778. https://doi.org/10.1177/0021998305055546
- Zhou, K., Keer, L.M., and Wang, Q.J., "Semi-Analytic Solution for Multiple Interacting Three-Dimensional Inhomogeneous Inclusions of Arbitrary Shape in an Infinite Space," International Journal for Numerical Methods in Engineering, Vol. 87, 2011, pp. 617-638. https://doi.org/10.1002/nme.3117
- Lee, J.K., and Mal, A.K., "A Volume Integral Equation Technique for Multiple Scattering Problems in Elastodynamics," Applied Mathematics and Computation, Vol. 67, 1995, pp. 135-159. https://doi.org/10.1016/0096-3003(94)00057-B
- Lee, K.J., and Mal, A.K., "A boundary element method for plane anisotropic elastic media," Transactions of the ASME, Journal of Applied Mechanics, Vol. 57, 1990, pp. 600-606. https://doi.org/10.1115/1.2897065
- Buryachenko, V.A., Micromechanics of heterogeneous materials, Springer, New York, 2007.
- Banerjee, P.K., The Boundary Element Methods in Engineering, McGraw-Hill, England, 1993.
- PATRAN User's Manual, Version 7.0, MSC/PATRAN, 1998.
- Hardiman, N.J., "Elliptic Elastic Inclusion in an Infinite Elastic Plate," Quarterly Journal of Mechanics and Applied Mathematics, Vol. 7, No. 2, 1954, pp. 226-230. https://doi.org/10.1093/qjmam/7.2.226
- Sendeckyj, G.P., "Elastic Inclusion Problems in Plane Elastostatics," International Journal of Solids and Structures, Vol. 6, 1970, pp. 1535-1543. https://doi.org/10.1016/0020-7683(70)90062-4
- Mal, A.K., and Singh, S.J., Deformation of Elastic Solids, Prentice Hall, New Jersey, 1991.
- Hwu, C., and Yen, W.J., "On the Anisotropic Elastic Inclusions in Plane Elastostatics," Transactions of ASME, Journal of Applied Mechanics, Vol. 60, 1993(Sep.), pp. 626-632. https://doi.org/10.1115/1.2900850
- Lee, J.K., Choi, S.J., and Mal, A., "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, No. 16, 2001, pp. 2789-2802. https://doi.org/10.1016/S0020-7683(00)00182-7
- Wang, X., Pan, E., and Sudak, L.J., "Uniform Stresses inside an Elliptical Inhomogeneity with an Imperfect Interface in Plane Elasticity," Transactions of ASME, Journal of Applied Mechanics, Vol. 75, 2008, pp. 054501-1-054501-5. https://doi.org/10.1115/1.2913045
- ADINA User's Manual, Version 8.5, ADINA R & D, Inc., 2008.
- Lee, J.K., "Volume Integral Equation Method for Multiple Anisotropic Inclusion Problems in an Infinite Solid under Uniaxial Tension," Journal of the Korean Society for Composite Materials, Vol. 23, No. 4, 2010, pp. 7-13. https://doi.org/10.7234/kscm.2010.23.4.007
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