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.

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

  • Received Date: 2002-08-13
  • Rev Recd Date: 2004-03-30
  • Publish Date: 2004-10-15
  • An elastic analysis of an internal central crack with bridging fibers parallel to the free surface in an infinite orthotropic anisotropic elastic plane was performed.A dynamic model of bridging fiber pull-out of composite materials was presented.Resultingly the fiber failure is governed by maximum tensile stress,the fiber breaks and hence the crack extension should occur in self-similar fashion.By the methods of complex functions,the problem studied can be transformed into the dynamic model to the Reimann-Hilbert mixed boundary value problem,and a straightforward and easy analytical solution is presented.Analytical study on the crack propagation subjected to a ladder load and an instantaneous pulse loading is obtained respectively for orthotropic anisotropic body.By utilizing the solution,the concrete solutions of this model are attained by ways of superposition.
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  • [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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