Lu Nian-chun, CHENG Yun-hong, TIAN Xiu-bo, CHENG Jin. Dynamic Propagation Problem on Dugdale Model of Mode Ⅲ Interface Crack[J]. Applied Mathematics and Mechanics, 2005, 26(9): 1105-1113.
Citation: Lu Nian-chun, CHENG Yun-hong, TIAN Xiu-bo, CHENG Jin. Dynamic Propagation Problem on Dugdale Model of Mode Ⅲ Interface Crack[J]. Applied Mathematics and Mechanics, 2005, 26(9): 1105-1113.

Dynamic Propagation Problem on Dugdale Model of Mode Ⅲ Interface Crack

  • Received Date: 2004-07-06
  • Rev Recd Date: 2005-04-05
  • Publish Date: 2005-09-15
  • By the the ory of complex functions,dynamic propagation problem on Dugdale model of mode Ⅲ interface crack for nonlinear characters of materials was studied.The general expressions of analytical solutions are obtained by the methods of self-similar functions.The problems dealt with can be easily transformed into Riemann-Hilbert problems and their closed solutions are attained rather simple by this approach.After those solutions were utilized by superposition theorem,the solutions of arbitrarily complex problems could be obtained.
  • loading
  • [1]
    范天佑.断裂动力学引论[M].北京:北京理工大学出版社,1990,82—223.
    [2]
    Kanninen M F,Popelar C H.Advanced Fracture Mechanics[M].Oxford:Oxford Univ Press,1985,20—107.
    [3]
    Erigen A C,Suhubi E S.Elastodynamic Vol 2 Linear Theory[M].New York,San Francisco,London:Academic Press,1975,208—453.
    [4]
    程靳.不同正交异性材料界面上的扩展裂纹问题[J].固体力学学报,1987,8(2):108—116.
    [5]
    L Nian-chun,CHENG Jin,CHENG Yun-hong.Mode Ⅲ interface crack propagation in two joined media with weak dissimilarity and strong orthotropy[J].Theo App Frac Mech,2001,36(2):219—231. doi: 10.1016/S0167-8442(01)00073-8
    [6]
    Muskhelishvili N I.Singular Integral Equations[M].Moscow:Nauka,1968,8—120.
    [7]
    Muskhelishvili N I.Some Fundamental Problems in the Mathematical Theory of Elasticity[M].Moscow:Nauka,1968,20—125.
    [8]
    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.工程力学专缉,1985(增刊):8—21.
    [9]
    Atkinson C.The Propagation of a brittle crack in anisotropic material[J].Int J Engng Sci,1965,3(2):77—91. doi: 10.1016/0020-7225(65)90021-2
    [10]
    Dugdale D S.Yielding of steel sheets containing slits[J].J Mech Phy Soli,1960,18(1):100—104.
    [11]
    Bilby B A,Conttrell A H, Swinden K H. The spread of plastic yield from a notch[J].Proc Roy Soc (London),Ser A,1963,272(1350):304—314. doi: 10.1098/rspa.1963.0055
    [12]
    Hoskins R F.Generalized Functions[M].Horwood:Ellis,1979,19—125.
    [13]
    王燮山.奇异函数及其在力学中的应用[M].北京:科学出版社,1993,3—45.
    [14]
    Gahov F D.Boundary-Value Problems[M].Moscow:Fizmatgiz,1963,10—136.
    [15]
    Sih G C.Mechanics of Fracture 4. Elastodynamics Crack Problems[M].Leyden:Noordhoff,1977,213—247.
    [16]
    Kanwal R P,Sharma D L.Singularity methods for elastostatics[J].J Elasticity,1976,6(4):405—418. doi: 10.1007/BF00040900
    [17]
    同济大学数学教研室,高等数学(上册)[M].北京:高等教育出版社,1994,167—172.
    [18]
    Ravi-Chandar K,Knauss W G.An Experimental investigation into dynamic fracture: Pt 1,crack initiation and arrest[J].Int J Frac,1984,25(4):247—262. doi: 10.1007/BF00963460
    [19]
    Ravi-Chandar K,Knauss W G.An Experimental investigation into dynamic fracture: Pt 2, microstructural aspects[J].Int J Frac,1984,26(1):65—80. doi: 10.1007/BF01152313
    [20]
    Ravi-Chandar K,Knauss W G.An Experimental investigation into dynamic fracture: Pt 3,on steady-state crack propagation and crack branching[J].Int J Frac,1984,26(2):141—154. doi: 10.1007/BF01157550
    [21]
    Ravi-Chandar K, Knauss W G.An experimental investigation into dynamic fracture:Pt 4,on the interaction of stress waves with propagation cracks[J].Int J Frac,1984,26(3):189—200. doi: 10.1007/BF01140627
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2456) PDF downloads(611) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return