References
- Richardson, M. K., 1969, "Interference Stress in a Half Plane Containing an Elastic Disk of Same Material," Transactions of ASME, Journal of Applied Mechanics, Vol. 36, pp. 128-130 https://doi.org/10.1115/1.3564571
- Melan, E., 1932, "Der Spannungszustand der Durch eine Einzelkraft im Innern Beanspruchten Halbscheibe," Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 12, pp. 343-346 https://doi.org/10.1002/zamm.19320120603
- Saleme, E. M., 1958, "Stress Distribution Around a Circular Inclusion in a Semiinfinite Elastic Plate," Transactions of ASME, Journal of Applied Mechanics, Vol. 25, pp. 129-135
- Shioya, S., 1967, "On a Semi-Infinite Thin Plate with Circular Inclusion Under Uniform Tension," Bulletin of the JSME-Japan Society of Mechanical Engineers, Vol. 10, pp. 1-9 https://doi.org/10.1299/jsme1958.10.1
- Lee, M., Jasiuk, I., and Tsuchida, E., 1992, "The Sliding Circular Inclusion in an Elastic Half-Plane," Transactions of the ASME, Journal of Applied Mechanics, Vol. 59, pp. 57-64 https://doi.org/10.1115/1.2899508
- Al-Ostaz, A., Jasiuk, I., and Lee, M., 1998, "Circular Inclusion in Half-Plane: Effect of Boundary Conditions," Journal of Engineering Mechanics, Vol. 124, pp. 293-300 https://doi.org/10.1061/(ASCE)0733-9399(1998)124:3(293)
- Dong, C. Y., Lo, S. H., and Cheung, Y. K., 2004, "Numerical Solution for Elastic Half-Plane Inclusion Problems by Different Integral Equation Approaches," Engineering Analysis with Boundary Elements, Vol. 28, pp. 123-130 https://doi.org/10.1016/j.enganabound.2003.06.002
- Legros, B., Mogilevskaya, S. G., and Crouch, S. L., 2004, "A Boundary Integral Method for Multiple Circular Inclusions in an Elastic Half-Plane," Engineering Analysis with Boundary Elements, Vol. 28, pp. 1083-1098 https://doi.org/10.1016/j.enganabound.2004.02.010
- Kushch, V. I., Shmegera, S. V., and Buryachenko, V. A., 2006, "Elastic Equilibrium of a Half Plane Containing a Finite Array of Elliptic Inclusions," International Journal of Solids And Structures, Vol. 43, pp. 3459-3483 https://doi.org/10.1016/j.ijsolstr.2005.05.016
- Jeffery, G. B., 1920, "Plane Stress and Plane Strain in Bipolar Coordinates," Philosophical transactions of the Royal Society of London. Series A, Vol. 221, pp. 265-293 https://doi.org/10.1098/rsta.1921.0009
- Mindlin, R. D., 1948, "Stress Distribution Around a Hole Near the Edge of a Plate Under Tension," Proceedings of the Society for Experimental Stress Analysis, Vol. 5, pp. 56-68
- Pobedonostsev, A. I., 1964, "On the Evaluation of the Stresses in a Half-Plane with Circular Opening," Journal of applied mathematics and mechanics, Vol. 28, pp. 155-161 [Translation of Prikladnaya Matematika i Mekhanika] https://doi.org/10.1016/0021-8928(64)90140-6
- Duan, Z. P., Kienzler, R. and Herrmann, G., 1986, "An Integral Equation Method and Its Application to Defect Mechanics," Journal of the Mechanics and Physics of Solids, Vol. 34, pp. 539-561 https://doi.org/10.1016/0022-5096(86)90036-0
- Callias, C. J. and Markenscoff, X., 1989, "Singular Asymptotics Analysis for the Singularity at a Hole Near a Boundary," Quarterly of Applied Mathematics, Vol. 47, pp. 233-245 https://doi.org/10.1090/qam/998098
- Strack, O. E. and Verruijt, A., 2002, "A Complex Variable Solution for a Deforming Buoyant Tunnel in a Heavy Elastic Half-Plane," International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 26, pp. 1235-1252 https://doi.org/10.1002/nag.246
- Chen, Y. Z., 1994, "Multiple Circular Hole Problem for an Elastic Half-Plane," Computers & Structures, Vol. 52, pp. 1277-1281 https://doi.org/10.1016/0045-7949(94)90191-0
- Dejoie, A., Mogilevskaya, S. G. and Crouch, S. L., 2006, “A Boundary Integral Method for Multiple Circular Holes in an Elastic Half-Plane,” Engineering Analysis with Boundary Elements, Vol. 30, pp. 450-464 https://doi.org/10.1016/j.enganabound.2005.12.005
- Banerjee, P. K., 1993, The Boundary Element Methods in Engineering, McGraw-Hill, England
- 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
- Yang, H. C. and Chou, Y. T., 1976 (Sep.), "Generalized Plane Problems of Elastic Inclusions in Anisotropic Solids1,” Transactions of the ASME, Journal of Applied Mechanics, Vol. 43, pp. 424-430 https://doi.org/10.1115/1.3423884
- 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
- 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
- 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
- Mal, A. K. and Knopoff, L., 1967, “Elastic Wave Velocities in Two Component Systems,” Journal of the Institute of Mathematics and its Applications, Vol. 3, pp. 376-387 https://doi.org/10.1093/imamat/3.4.376
- Lee, J. K. and Ku, D. Y., 2008, “Elastic Analysis of a Half-Plane Containing Multiple Inclusions Using Volume Integral Equation Method,” Transactions of the KSME A, Vol. 32, No. 2, pp. 148-161 https://doi.org/10.3795/KSME-A.2008.32.2.148
- 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 the ASME, Journal of Applied Mechanics, Vol. 57, pp. 600-606 https://doi.org/10.1115/1.2897065
- Telles, J. C. F. and Brebbia, C. A., 1981, "Boundary Element Solution for Half-Plane Problems," International Journal of Solids And Structures, Vol. 17, pp. 1149-1158 https://doi.org/10.1016/0020-7683(81)90094-9
- Doblare, M., Espiga, E., Gracia, L., and Alcantud, M., 1990, “Study of Crack Propagation in Orthotropic Materials by Using the Boundary Element Method,” Engineering Fracture Mechanics, Vol. 37, No. 5, pp. 953-967 https://doi.org/10.1016/0013-7944(90)90020-H
- Snyder, M. D. and Cruse, T. A., 1975 (Apr.), “Boundary-Integral Equation Analysis of Cracked Anisotropic Plates,” International Journal of Fracture, Vol. 11, No. 2, pp. 315-328 https://doi.org/10.1007/BF00038898
- Tomlin, G. R. and Butterfield, R., 1974, “Elastic Analysis of Zoned Orthotropic Continua,” Proceedings of ASCE, Vol. EM3, pp. 511-529
- PATRAN User's Manual, 1998, Version 7.0, MSC/PATRAN
- 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
- Davì, 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
- Buryachenko, V. A. and Bechel, V. T, 2000, "A Series Solution of the Volume Integral Equation for Multiple-Inclusion Interaction Problems," Composites Science and Technology, Vol. 60, No. 12-13, pp. 2465-2469 https://doi.org/10.1016/S0266-3538(00)00041-5