Moving Screw Dislocation Near Interfacial Rigid Lines in Two Dissimilar Anisotropic Media
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摘要: 研究了各向异性双材料中匀速运动螺型位错与界面刚性线的干涉问题.运用Riemann-Schwarz解析延拓技术与复势函数奇性主部分析方法,获得了该问题的一般弹性解答,求出了界面含一条和两条刚性线情况下的封闭形式解,并给出了刚性线尖端的应力强度因子和作用于运动位错上的像力的显式表达式.结果表明,位错速度增大可以削弱位错对应力强度因子的反屏蔽效应;位错速度越大,位错平衡点越靠近刚性线.退化结果与已有的解答完全吻合.Abstract: The problem for the interaction between a uniformly moving screw dislocation and interface rigid lines in two dissimilar anisotropic materials are investigated.Using Riemann-Schwarz's symmetry principle integrated with the analysis singularity of complex functions,the general elastic solutions of this problem and the closed form solutions for interface containing one and two rigid lines were presented.The expressions of stress intensity factors at the rigid line tips and image force acting on moving dislocation were derived explicitly.The results show that dislocation velocity has antishielding effect on rigid line tip and larger dislocation velocity leads to the equilibrium position of dislocation closing with rigid line.The presented solutions contain previously known results as the special cases.
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[1] Weertman J, Weertman J R. Moving dislocation[A].In: Nabarro F R N,Ed.Dislocations in Solids[C].Amsterdam,New York:North-Holland Publishing Company,1980. [2] Tsai Y Z, Hu C T, Lee S.Elastic interaction between a moving screw dislocation and a surface crack[J].Journal of Materials Research,1995,10(10):2668-2675. doi: 10.1557/JMR.1995.2668 [3] Zaiser M, Aifantis E C.On the dynamic interaction between moving dislocations[J].Applied Physics A,1999,66(4):393-397. [4] Khannanov Sh Kh. Electroelastic fields of moving dislocations and disclinations in piezoelectric crystals[J].Physics of the Solid State,1999,41(7):1102-1104. doi: 10.1134/1.1130946 [5] Wu K C. Transient motion due to a moving dislocation in a general anisotropic solid[J].Acta Mechanica,2002,158(1/2):85-96. doi: 10.1007/BF01463171 [6] Wang X, Zhong Z. A moving piezoelectric screw dislocation[J].Mechanics Research Communications,2002,29(5):425-429. doi: 10.1016/S0093-6413(02)00265-3 [7] Wu X F, Dzenis Y A, Zou W S. Moving screw dislocations in piezoelectric bimaterials[J].Physica Status Solidi (b),2003,238(1):120-126. doi: 10.1002/pssb.200301805 [8] Wu K C. Transient motion of an interfacial line force or dislocation in an anisotropic elastic biomaterial[J].International Journal of Solids and Structures,2003,40(8):1811-1823. doi: 10.1016/S0020-7683(03)00036-2 [9] Yang J. A moving screw dislocation in piezoelectromagnetic ceramics[J].Acta Mechanica,2004,172(1/2): 123-129. doi: 10.1007/s00707-004-0141-y [10] Liu J X, Soh A K, Fang D N. A moving dislocation in a magneto-electro-elastic solid[J].Mechanics Research Communications,2005,32(5):504-513. doi: 10.1016/j.mechrescom.2005.02.009 [11] Soh A K, Liu J X, Lee K L,et al.Moving dislocations in general anisotropic piezoelectric solids[J].Physica Status Solidi (b),2005,242(4):842-853. doi: 10.1002/pssb.200402121 [12] Kattis M A, Providas E. Two-phase potentials in anisotropic elasticity: antiplane deformation[J].International Journal of Engineering Science,1998,36(7/8): 801-811. doi: 10.1016/S0020-7225(97)00115-8 [13] Pak Y E. Force on piezoelectric screw dislocation[J].Journal of Applied Mechanics,ASME,1990,57(3): 863-869. doi: 10.1115/1.2897653 [14] Jiang C P, Tong Z H, Chueng Y K. A generalized self-consistent method for piezoelectric fiber reinforced composites under anti-plane shear[J].Mechanics of Materials,2001,33(5):295-308. doi: 10.1016/S0167-6636(00)00062-4 [15] 樊大钧. 数学弹性力学[M].北京:新时代出版社,1983,377-379. [16] Muskhelishvili N L.Some Basic Problems of Mathematical Theory of Elasticity[M].Leyden:Noordhoff,1975,331-340. [17] Yang S, Yuan F G. Interfacial circular crack in cylindrically anisotropic composites under antiplane shear[J].International Journal of Solids and Structures,1995,32(24):3603-3628. doi: 10.1016/0020-7683(95)00006-V [18] Bullough R, Biby B A. Uniformly moving dislocations in anisotropic media[J].Proceedings of the Physical Society (London),Section B,1954,67(8):615-624. doi: 10.1088/0370-1301/67/8/303 [19] Eshelby J D. Uniformly moving dislocations[J].Proceedings of the Physical Society (London),Section A,1949,62(5):307-314. [20] Gradshteyn I S, Ryzhik I M.Table of Integrals, Series, and Products[M].New York:Academic Press,1980, 241-245. [21] Pramanik R, Pal S C, Ghosh M L. High frequency scattering due to a pair of time-harmonic antiplane forces on the faces of finite interface crack between disslimilar anisotropic materials[J].European Journal of Mechanics A/Solids,1999,18(6):1013-1026. doi: 10.1016/S0997-7538(99)00106-0 [22] Wu X F, Dzenis Y A. Antiplane surface acoustic waves propagating in elastic half-space coated with an anisotropic laminate[J].Composites Science and Technology,2005,65(11/12): 1761-1768. doi: 10.1016/j.compscitech.2005.03.003
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