References
- Al-Ostaz, A and Jasiuk, I, 1997, 'The Influence of Interface and Arrangement of Inclusions on Local Stresses in Composite Materials,' Acta Materialia, Vol. 45, No. 10, pp. 4131-4143 https://doi.org/10.1016/S1359-6454(97)00089-X
- Banerjee, P.K., 1993, 'The Boundary Element Methods in Engineering,' McGraw-Hill, England
- Buryachenko, V.A. and Bechel, V.T., 2000, 'A Series Solution of the Volume Integral Equation for Multiple Inclusion Interaction Problems,' Compos. Sci. Technol., Vol. 60, pp. 2465-2469 https://doi.org/10.1016/S0266-3538(00)00041-5
- Chen, T., 1993, 'Thermoelastic Properties and Conductivity of Composites Reinforced by Spherically Anisotropic Particles,' Mechanics of Materials, Vol. 14, pp. 257-268 https://doi.org/10.1016/0167-6636(93)90081-2
- Choi, S.J., Ra, W.S. and Lee, J.K., 1999, 'Elastic Analysis of Unbounded Solids with Anisotropic Inclusions,' Trans. of KSME (A), Vol. 23, No. 11, pp. 1993-2006
- Davi, G. and Milazzo, A., 1996, 'Stress Fields in Composite Cross-Ply Laminates,' Eleventh International Conference on Boundary Element Technology, BETECH 96, Ertekin, R. C, Brebbia, C. A., Tanaka, M. and Shaw, R., Eds., Computational Mechanics Publications, pp. 175-184
- 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, No. 1-2, pp. 95-106 https://doi.org/10.1016/S0045-7825(02)00534-0
- Gusev, A.A., Hine, P.J., and Ward, I.M., 2000, 'Fiber Packing and Elastic Properties of a Transversely Random Unidirectional Glass/Epoxy Composite,' Composites Science and Technology, Vol. 60, No. 4, pp. 535-541 https://doi.org/10.1016/S0266-3538(99)00152-9
- Han, W., Eckschlager, A., and Bohm H.J., 2001, 'The Effects of Three-Dimensional Multi-Particle Arrangements on the Mechanical Behavior and Damage Initiation of Particle-Reinforced MMCs,' Composites Science and Technology, Vol. 61, No. 11, pp. 1581-1590 https://doi.org/10.1016/S0266-3538(01)00061-6
- 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
- Duan, Z.P., Kienzler, R. and Herrmann, G., 1986, 'An Integral Equation Method and Its Application to Defect Mechanics,' Journal of Mechanics and Physics of Solids, Vol. 34, pp. 539-561 https://doi.org/10.1016/0022-5096(86)90036-0
- Johnson, W.C., Earmme, Y.Y. and Lee J.K, 1980, 'Approximation of the Strain Field Associated with an Inhomogeneous Precipitate. I: Theory,' Journal of Applied Mechanics -Transactions of the ASME, Vol. 47, pp. 775-780 https://doi.org/10.1115/1.3153789
- 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, J.K. and Mal, A.K., 1997, '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.K. 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
- 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,' Int. J. Solids Struct., Vol. 38, pp. 2789-2802 https://doi.org/10.1016/S0020-7683(00)00182-7
- Lee, K.J. and Mal, A.K., 1990, 'A Boundary Element Method for Plane Anisotropic Elastic Media,' Journal of Applied Mechanics, Vol. 57, pp. 600-606 https://doi.org/10.1115/1.2897065
- Mal, A.K. and Knopoff, L., 1967, 'Elastic Wave Velocities in Two Component Systems,' J. Inst. Math. Applics., Vol. 3, pp. 376-387 https://doi.org/10.1093/imamat/3.4.376
- McPedran, R.C. and Movchan, A.B., 1994, 'The Rayleigh Multipole Method for Linear Elasticity,' Journal of Mechanics and Physics of Solids, Vol. 42, pp. 711-727 https://doi.org/10.1016/0022-5096(94)90039-6
- Moschovidis, Z.A. and Mura, T., 1975, 'Two-Ellipsoidal Inhomogeneities by the Equivalent Inclusion Method,' Journal of Applied Mechanics - Transactions of the ASME, Vol. 42, pp. 847-852 https://doi.org/10.1115/1.3423718
- Nakamura, T. and Suresh, S., 1993, 'Effects of Thermal Residual Stresses and Fiber Packing on Deformation of Metal-Matrix Composites,' Acta Metall. Mater., Vol. 41, pp. 1665-1681 https://doi.org/10.1016/0956-7151(93)90186-V
- PATRAN User's Manual, 1998, Version 7.0, MSC/PATRAN
- Yang, H. C. and Chou, Y. T., 1976 (Sep.), 'Generalized Plane Problems of Elastic Inclusions in Anisotropic Solids 1,' Transactions of the ASME, Journal of Applied Mechanics, Vol. 43, pp. 424-430 https://doi.org/10.1115/1.3423884
- Zhang, J and Katsube, N, 1995, 'A Hybrid Finite Element Method for Heterogeneous Materials with Randomly Dispersed Elastic Inclusions,' Finite Elements In Analysis And Design, Vol. 19, No. 1-2, pp. 45-55 https://doi.org/10.1016/0168-874X(94)00056-L
- Zhang, J and Katsube, N, 1997, 'A Polygonal Element Approach to Random Heterogeneous Media with Rigid Ellipses or Elliptical Voids,' Computer Methods in Applied Mechanics and Engineering, Vol. 148, No. 3-4, pp. 225-234 https://doi.org/10.1016/S0045-7825(97)00062-5