LIU You-wen, XIE Chao, JIANG Chun-zhi, FANG Qi-hong. Analytical Solution for a Strained Reinforcement Layer Bonded to a Lip-Shaped Crack Under Remote Mode Ⅲ Uniform Load and a Concentrated Load[J]. Applied Mathematics and Mechanics, 2010, 31(9): 1075-1088. doi: 10.3879/j.issn.1000-0887.2010.09.008
Citation: LIU You-wen, XIE Chao, JIANG Chun-zhi, FANG Qi-hong. Analytical Solution for a Strained Reinforcement Layer Bonded to a Lip-Shaped Crack Under Remote Mode Ⅲ Uniform Load and a Concentrated Load[J]. Applied Mathematics and Mechanics, 2010, 31(9): 1075-1088. doi: 10.3879/j.issn.1000-0887.2010.09.008

Analytical Solution for a Strained Reinforcement Layer Bonded to a Lip-Shaped Crack Under Remote Mode Ⅲ Uniform Load and a Concentrated Load

doi: 10.3879/j.issn.1000-0887.2010.09.008
  • Received Date: 1900-01-01
  • Rev Recd Date: 2010-06-04
  • Publish Date: 2010-09-15
  • The analytical solution of stress field for a strained reinforcement layer bonded to a lip-shaped crack under a remote mode Ⅲ uniform load and a concentrated load was obtained explicitly in the series form by using the technique of conformal mapping and the method of analytic continuation.The effect of material combinations,bond of interface and geometric configurations on interfacial stresses generated by eigenstrain,remote load and concentrated load were studied.The results show that the stress concentration and interfacial stresses could be reduced by rational material combinations and geometric configurations designs for different load forms.
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  • [1]
    Muskhelishvili N I. Some Basic Problems of the Mathematical Theory of Elasticity[M].Groningen, Holland: Noordhoff Ltd, 1953.
    [2]
    Florence A L, Goodier J N. Thermal stress due to disturbance of uniform heatflow by an insulated ovaloid hole[J]. ASME Journal of Applied Mechanics, 1960, 27: 635-639. doi: 10.1115/1.3644074
    [3]
    England A H. Complex Variable Methods in Elasticity[M]. London: Wiley-Interscience, 1971.
    [4]
    Chao C K, Shen M H. Thermal stresses in a generally anisotropic body with an elliptic inclusion subject to uniform heat flow[J]. ASME Journal of Applied Mechanics, 1998, 65(1): 51-58. doi: 10.1115/1.2789045
    [5]
    Li T L, Lia Z H, Sun J. The shielding effects of a screw dislocation near an elliptically blunted crack tip[J]. Scripta Materialia, 2006, 55(8): 703-706. doi: 10.1016/j.scriptamat.2006.06.028
    [6]
    Xie C, Liu Y W, Fang Q H, Deng M. Cracking characteristics of mixed mode dislocations near a lip-like mode crack[J]. Theoretical Applied Fracture Mechanics, 2009, 51(2): 139-143. doi: 10.1016/j.tafmec.2009.04.001
    [7]
    Chao C K, Chen F M, Shen M H. Circularly cylindrical layered media in plane elasticity[J]. International Journal of Solids and Structures, 2006, 43(16): 4739-4756. doi: 10.1016/j.ijsolstr.2005.07.007
    [8]
    Chen F M, Chao C K. Stress analysis of an infinite plate with a coated elliptic hole under a remote uniform heat flow[J]. Journal of Thermal Stresses, 2008, 31(7): 599-613. doi: 10.1080/01495730801978547
    [9]
    Chao C K, Lu L M, Chen C K, Chen F M. Analytical solution for a reinforcement layer bonded to an elliptic hole under a remote uniform load[J]. International Journal of Solids and Structures, 2009, 46(14/15): 2959-2965. doi: 10.1016/j.ijsolstr.2009.03.025
    [10]
    Fang Q H, Liu Y W, Jiang C P. Electroelastic interaction between a piezoelectric screw dislocation and an elliptical inclusion with interfacial cracks[J]. Physica Status Solidi (b), 2005, 242(14): 2775- 2794. doi: 10.1002/pssb.200541183
    [11]
    Liu Y W, Fang Q H, Jiang C P. A piezoelectric screw dislocation interacting with an interphase layer between a circular inclusion and the matrix[J]. International Journal of Solids and Structures, 2004, 41(11/12): 3255-3274. doi: 10.1016/j.ijsolstr.2003.12.027
    [12]
    蒋持平,刘又文,徐耀玲. 夹杂与基体对界面层螺旋位错的干涉效应[J]. 应用数学和力学, 2003, 24(8): 865-873.
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