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Analytics study on the problem of two holes having arbitrary shapes and arrangements in plane elastostatics

         

摘要

[1]Pan Jiazheng, Stress analysis for two neighbor hydraulic tunnels, Underground Engineering (in Chinese), 1979, (2): 2.[2]Liu Xinyu, Hou Xueyuan, Stress analysis for parallel circular tunnels, Journal of Tongji University (in Chinese), 1985, (3): 15[3]Salerno, V. L., Mahoney, J. B., Stress solution for an infinite plate containing two arbitrary circular holes under equal bi-axial stresses, Journal of Engineering for Industry, Transactions of ASME, 1968, 35: 656.[4]Ukadgaonker, V. G., Stress analysis of a plate containing two circular holes having tangential stresses, AIAA Journal, 1980, 18: 125[5]Kim, T. J., Ukadgaonker, V. G., Plane stress analysis of two rigid circular inclusions, AIAA Journal, 1971, 9: 2294.[6]Ukadgaonker, V. G., Interaction effect of two arbitrarily oriented cracks, part I, International Journal of Fracture, 1991, 51: 219[7]Zhang Luqing, Lü Aizhong, Study of alternating method for stress analysis on surrounding rock of two circular holes, Chinese Journal of Rock Mechanics and Engineering (in Chinese), 1998, 17(5): 534.[8]Yu, I. W., Sendeckyj G. P., Multiple circular inclusion problems in plane elastostatics, Journal of Applied Mechanics, Transactions of ASME, 1974, 41: 215[9]Mikhlin, S. G., Method of successive approximation in solutions to biharmonic equations, Trudy, Seisomological, USSR, 1934, 39.[10]Soboleff, S., Schwarz algorithm in the theory of elasticity, Reports from Academy of Science, USSR, 1936, IV.[11]Chen Ziyin, Analytic Method of Mechanical Analysis for the Surrounding Rock (in Chinese), Beijing: Coal Industry Pub-lishing House, 1994, 70-76.[12]Lü Aizhong, Jiang Binsong, Reverse Problems in Rock Mechanics (in Chinese), Beijing: Coal Industry Publishing House, 1998, 164—171.

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