[1] | 西田正孝, 李安定. 应力集中.北京: 机械工业出版社, 1986 |
[1] | (Nishida Masataka, Li Anding. Stress Concertrations. Beijing: Machinery Industry Press, 1986 (in Chinese)) |
[2] | 王从曾, 刘会亭. 材料性能学. 北京: 北京工业大学出版社, 2004 |
[2] | (Wang Congzeng, Liu Huiting. Material Properties.Beijing: Beijing University of Technology Press, 2004 (in Chinese)) |
[3] | 孙可明, 张树翠. 含层理页岩气藏水力压裂裂纹扩展规律解析分析. 力学学报, 2016, 48(5): 1229-1237 |
[3] | (Sun Keming, Zhang Shucui.Hydraulic fracture propagation in shale gas bedding reservoir analytical analysis. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(5): 1229-1237(in Chinese)) |
[4] | 陈建霖, 励争, 储鹏程. 大开口复合材料层合板强度破坏研究. 力学学报, 2016, 48(6): 1326-1333 |
[4] | (Chen Jianlin, Li Zheng, Chu Pengcheng.Strength analysis of fiber reinforced composite laminates with big cutouts. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(6): 1326-1333 (in Chinese)) |
[5] | 付云伟, 倪新华, 刘协权等. 颗粒缺陷相互作用下复合材料的细观损伤模型. 力学学报, 2016, 48(6): 1334-1342 |
[5] | (Fu Yunwei, Ni Xinhua, Liu Xiequan, et al.Micro-damage model of composite materials with particle and defect interaction. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(6): 1334-1342. (in Chinese)) |
[6] | 徐芝纶. 弹性力学简明教程(第三版). 北京: 高等教育出版社, 1983 |
[6] | (Xu Zhilun.A Concise Course in Elasticity(Third Edition). Beijing: Higher Education Press, 1983 (in Chinese)) |
[7] | Gao XL.A general solution of an infinite elastic plate with an elliptic hole under biaxial loading. International Journal of Pressure Vessels and Piping, 1996, 67(1): 95-104 |
[8] | Sharma DS.Stress distribution around polygonal holes. International Journal of Mechanical Sciences, 2012, 65(1): 115-124 |
[9] | Jafari M, Ardalani E.Stress concentration in finite metallic plates with regular holes. International Journal of Mechanical Sciences, 2016, 106: 220-230 |
[10] | 侯祥林, 王家祥, 贾连光. 正六边形孔角裂纹应力强度因子复变函数解. 应用力学学报, 2018, 35(3): 483-488 |
[10] | (Hou Xianglin, Wang Jiaxiang, Jia Lianguang.Complex variable solution for stress intensity factor of hexagon angle crack. Chinese Journal of Applied mechanics, 2018, 35(3): 483-488 (in Chinese)) |
[11] | Sharma DS.Stresses around hypotrochoidal hole in infinite isotropic plate. International Journal of Mechanical Sciences, 2016, 105: 32-40 |
[12] | 朱大勇, 蔡永祥. 对称载荷正多边形孔洞弹性应力解析逼近方法. 岩土力学, 2016(s2): 60-66 |
[12] | (Zhu Dayong, Cai Yongxiang.Analytical approximation method for elastic stress analysis of regular polygonal holes under symmetrical loads. Rock and Soil Mechanics, 2016(s2): 60-66 (in Chinese)) |
[13] | 朱大勇, 蔡永祥. 含单孔洞无限平面体弹性应力场解析逼近方法. 岩石力学与工程学报, 2017, 36(3): 705-715 |
[13] | (Zhu Dayong, Cai Yongxiang.Approaching analytical solution to elastic stress field of an infinite plane containing a single hole. Chinese Journal of Rock Mechanics and Engineering , 2017, 36(3): 705-715 (in Chinese)) |
[14] | Muskhelishvili NI.Some Basic Problems of Mathematical Theory of Elasticity. Groningen: Noordhoff, 1953 |
[15] | 陈子荫. 围岩力学分析中的解析方法. 北京: 煤炭工业出版社, 1994 |
[15] | (Chen Ziying.Analytical Method for Mechanics Analysis of Surrounding Rock. Beijing: Coal Industry Press, 1994 (in Chinese)) |
[16] | Jeffery GB.Plane stress and plane strain in bipolar co-ordinates. Philosophical Transactions of the Royal Society A,1921, 221: 265-293 |
[17] | Ling CB.On the stresses in a plate containing two circular holes. Journal of Applied Physics, 1948, 19: 77-82 |
[18] | Iwaki T, Miyao K.Stress concentration in a plate with two unequal circular holes. International Journal of Engineering Science, 1980, 18(8): 1077-1090 |
[19] | Kumari S, Uphadhyay AK, Shukla KK.Stress analysis for an infinite plate with circular holes. Materials Today: Proceedings, 2017, 4(2): 2323-2332 |
[20] | Green AE.General biharmonic analysis for a plate containing circular holes. Proceedings of the Royal Society of London A, 1940, 37(1): 29-33 |
[21] | Hoang SK, Abousleiman YN.Extended Green's solution for the stresses in an infinite plate with two equal or unequal circular holes. Journal of Applied Mechanics, 2008, 75(3): 031016 |
[22] | Haddon RAW.Stresses in an infinite plate with two unequal circular holes. Quarterly Journal of Mechanics and Applied Mathematics, 1967, 203: 277-291 |
[23] | 王林江, 林佳铿. 用多复变量应力函数计算任意多连通弹性平面问题. 应用数学和力学, 1994, 15(7): 657-664 |
[23] | (Wang Linjiang, Lin Jiakeng.Computation of arbitrary multiply connected elastic plane problems by multiple complex variables stress functions. Applied Mathematics and Mechanics, 1994, 15(7): 657-664 (in Chinese)) |
[24] | Lü AZ, Xu Z, Zhang N.Stress analytical solution for an infinite plane containing two holes. International Journal of Mechanical Sciences, 2017, 128: 224-234 |
[25] | Zeng XT, Lu AZ, Zhang N.Analytical stress solution for an infinite plate containing two oval holes. European Journal of Mechanics A Solid, 2018, 67: 291-304 |
[26] | Zhang LQ.An analytic algorithm of stresses for any double hole problem in plane elastic-statics. Journal of Applied Mechanics, 2001, 68(2): 350-353 |
[27] | Zhang LQ, Yue ZQ,Lee CF, el at. Stress solution of multiple elliptic hole problem in plane elasticity. Journal of Engineering Mechanics ASCE, 2003, 129(12): 1394-1407 |
[28] | 朱大勇, 蔡永祥. 含多孔洞无限平面体弹性应力场解析逼近方法. 岩石力学与工程学报, 2017, 35(3): 705-715 |
[28] | (Zhu Dayong, Cai Yongxiang.Analytical approach for elastic stress field of infinite plane containing several holes. Chinese Journal of Rock Mechanics and Engineering, 2017, 35(3): 705-715 (in Chinese)) |
[29] | Savin GN.Stress Distribution Around Holes. Washington: National Aeronautics and Space Administration, 1970 |
[30] | 阿尔福斯. 复分析 ( 第三版 ). 北京: 机械工业出版社, 2005 |
[30] | (Ahlfors. Complex Analysis (Third Edition). Beijing: Machinery Industry Press, 2005 (in Chinese)) |
[31] | Papamichael N, Stylianopoulos N.Numerical Conformal Mapping: Domain Decomposition and the Mapping of Quadrilaterals. Singapore,Hackensack: World Scientific, 2010 |
[32] | Hough DM, Papamichael N.An integral equation method for the numerical conformal mapping of interior, exterior and doubly-connected domains. Numerische Mathematik, 1983, 41(3): 287-307 |
[33] | Lai F, Wang Y, Lu Y, et al.Improving the accuracy of the charge simulation method for numerical conformal mapping. Mathematical Problems in Engineering, 2017(4): 1-9 |
[34] | Lo WL, Wu NJ, Chen CS, el at. Exact boundary derivative formulation for numerical conformal mapping method. Mathematical Problems in Engineering, 2016(2): 1-18 |
[35] | Hakula H, Quach T, Rasila A.Conjugate function method for numerical conformal mappings. Journal of Computational and Applied Mathematics, 2013, 237(1): 340-353 |
[36] | Korn GA, Korn TM.Mathematical Handbook for Scientists and Engineers(Second Edition). New York: McGraw-Hill, 1968 |
[37] | 吕爱钟, 张晓莉, 王少杰. 两向不等压圆形隧洞弹塑性解析分析. 岩石力学与工程学报, 2018, 37(1): 14-22 |
[37] | (Lü Aizhong, Zhang Xiaoli, Wang Shaojie.Elastoplastic analysis of circular tunnel with biaxial pressure. Chinese Journal of Rock Mechanics and Engineering, 2018, 37(1): 14-22 (in Chinese)) |