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复合材料桥纤维拔出问题的动态裂纹模型

吕念春 程云虹 胥红敏 程靳 唐立强

吕念春, 程云虹, 胥红敏, 程靳, 唐立强. 复合材料桥纤维拔出问题的动态裂纹模型[J]. 应用数学和力学, 2004, 25(10): 1093-1100.
引用本文: 吕念春, 程云虹, 胥红敏, 程靳, 唐立强. 复合材料桥纤维拔出问题的动态裂纹模型[J]. 应用数学和力学, 2004, 25(10): 1093-1100.
Lü Nian-chun, CHENG Yun-hong, XU Hong-min, CHENG Jin, TANG Li-qiang. Dynamic Crack Models on Problem of Bridging Fiber Pull-Out of Composite Materials[J]. Applied Mathematics and Mechanics, 2004, 25(10): 1093-1100.
Citation: Lü Nian-chun, CHENG Yun-hong, XU Hong-min, CHENG Jin, TANG Li-qiang. Dynamic Crack Models on Problem of Bridging Fiber Pull-Out of Composite Materials[J]. Applied Mathematics and Mechanics, 2004, 25(10): 1093-1100.

复合材料桥纤维拔出问题的动态裂纹模型

详细信息
    作者简介:

    吕念春(1965- ),男,辽宁朝阳人,副教授,博士,主要从事复合材料断裂动力学方面的研究(E-mail.lnc_65@163.com);程靳(联系人.Tel:+86-451-86416375(o),+86-451-86414970;E-mail:hitwg@0451.com)

  • 中图分类号: O346.1

Dynamic Crack Models on Problem of Bridging Fiber Pull-Out of Composite Materials

  • 摘要: 在一无限的正交各向异性体的弹性平面上,对具有桥纤维平行自由表面的一个内部中央裂纹,进行了弹性分析.提出了复合材料桥纤维拔出的一个动态模型.由于纤维破坏是由最大拉应力支配,纤维断裂并且裂纹扩展将以自相似的方式出现.通过复变函数的方法将所讨论的问题转化为Reimann-Hilbert混合边界值问题的动态模型,呈现一简单的和容易的解.求得了正交异性体中扩展裂纹受运动的阶梯载荷、瞬时脉冲载荷作用下问题的解析解,并利用这一解,通过迭加最终求得该模型的解.
  • [1] Marshall D B, Cox B N, Evens A G. The mechanics of matrix cracking in brittle-matrix fiber composites[J].Acta Matallurgica,1985,33(10):2013—2021. doi: 10.1016/0001-6160(85)90124-5
    [2] Budiansky B, Hutchinson J W, Evens A G. Matrix fracture in fiber-reinforced ceramics[J].J Mech Phys Solids,1986,34(2):167—189. doi: 10.1016/0022-5096(86)90035-9
    [3] Liu W N. Stress ahead of the tip of a finite-width center-crack in fiber-reinforced composite specimens: subjected to non-linearly distributed bridging stresses[J].Internat J Fracture,1994,70(4):L31—L35.
    [4] Woo C W, Wang Y H. Analysis of an internal crack in a fine anisotropic plate[J].Internat J Fracture,1993,62(2):203—208. doi: 10.1007/BF00012539
    [5] Lee J C. Analysis of fiber bridged crack near a free surface in ceramic matrix composites[J].Engrg Fracture Mech,1990,37(2):209—219. doi: 10.1016/0013-7944(90)90344-G
    [6] Tsai W T, Dharani I R. Non self-similar fiber fracture in unidirectional composites[J].Engrg Fracture Mech,1993,44(1):43—49. doi: 10.1016/0013-7944(93)90080-C
    [7] Ji M,Ishikawa H. Analysis of an internal central crack with bridging fibers in a finite orthotropic plate[J].Internat J Engrg Sci,1997,35(4):549—560. doi: 10.1016/S0020-7225(96)00099-7
    [8] Piva A, Viola E. Crack propagation in an orthotropic medium[J].Engrg Fracture Mech,1988,32(4):535—547.
    [9] De J, Patra B. Elastodynamic crack problems in an orthotropic medium through complex variable approach[J]. Engrg Fracture Mech,1986,31(6):895—909.
    [10] Goree J G, Gross R S. Analysis of an unidirectional composite containing broken fibers and matrix damage[J].Engrg Fracture Mech,1979,13(5): 563—578.
    [11] Goree J G, Dharnt L R, Jones W F. Crack growth and fracture of continuous fiber metal matrix composites: analysis and experiments[J].Metal Matrix Composites: Testing, Analysis, and Failure Modes,ASTM STP,1989,1032(2):251—269.
    [12] Cherepanov G P, Afanasov E F. Some dynamic problems of the theory of elasticity— a review[J].Internat J Engrg Sci,1974,12(5):665—690. doi: 10.1016/0020-7225(74)90043-3
    [13] 吕念春.复合材料断裂动力学若干问题的研究[D].博士学位论文.哈尔滨工业大学,2002,60—70.
    [14] 程靳. 某些正交异性体弹性动力学问题[J]. 哈尔滨工业大学学报,工程力学专辑,1985(增刊):8—21.
    [15] Hoskins R F.Generalized Functions[M]. New York: Ellis Horwood,1979,19—125.
    [16] Muskhelishvili N I.Some Fundamental Problems in the Mathematical Theory of Elasticity[M].Moscow:Nauka,1968,8—120.
    [17] Gahov F D.Boundary-Value Problems[M].Moscow:Fitzmatigiz,1963,71—169.
    [18] 同济大学数学教研室.高等数学[M].上册.北京:高等教育出版社,1994,167—172.
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出版历程
  • 收稿日期:  2002-08-13
  • 修回日期:  2004-03-30
  • 刊出日期:  2004-10-15

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