WANG Cheng-qiang, ZHENG Chang-liang. ANALYTICAL FORMULAS FOR PLANE CRACK ELEMENTS AND SEMI-ANALYTICAL ELEMENT METHOD FOR MODE Ⅰ AND MODEⅡ DUGDALE MODELS[J]. Engineering Mechanics, 2005, 22(6): 37-40,6.
Citation: WANG Cheng-qiang, ZHENG Chang-liang. ANALYTICAL FORMULAS FOR PLANE CRACK ELEMENTS AND SEMI-ANALYTICAL ELEMENT METHOD FOR MODE Ⅰ AND MODEⅡ DUGDALE MODELS[J]. Engineering Mechanics, 2005, 22(6): 37-40,6.
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ANALYTICAL FORMULAS FOR PLANE CRACK ELEMENTS AND SEMI-ANALYTICAL ELEMENT METHOD FOR MODE Ⅰ AND MODEⅡ DUGDALE MODELS

  • State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, P.R.China;2. Nanjing Hydraulic Research Institute, Nanjing 210029, P.R.China;3. School of Mechano-electronic Engineering and Material, Dalian Maritime University, Dalian 116026, P.R.China

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  • Received Date: September 24, 2003
  • Revised Date: July 04, 2005
    Abstract
  • From the Hamiltonian governing equations of an elastic sectorial domain, the variable separation and eigenfunction expansion techniques are employed to formulate two circular singular hyper-analytical -elements. The two hyper-analytical-elements give a precise description of mode Ⅰ and mode Ⅱ Dugdale crack tip fields respectively. The new analytical elements can be implemented into FEM program systems to compute the plastic zone sizes and crack tip opening or sliding displacement based on mode Ⅰ or mode Ⅱ Dugdale model for plane crack problems with arbitrary shapes and loads. Numerical results for typical problems show that the method is simple and effective.
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    ZHENG Chang-liang

    • State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, P.R.China;2. Nanjing Hydraulic Research Institute, Nanjing 210029, P.R.China;3. School of Mechano-electronic Engineering and Material, Dalian Maritime University, Dalian 116026, P.R.China

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