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LU Nian-chun, TANG Li-qiang, CHENG Yun-hong. SELF-SIMILAR SOLUTIONS OF DYNAMIC PROPAGATION PROBLEMS OF COMPOSITE MATERIALS WITH AXISYMMETRIC CRACK[J]. Engineering Mechanics, 2005, 22(S1): 35-38,3.
Citation: LU Nian-chun, TANG Li-qiang, CHENG Yun-hong. SELF-SIMILAR SOLUTIONS OF DYNAMIC PROPAGATION PROBLEMS OF COMPOSITE MATERIALS WITH AXISYMMETRIC CRACK[J]. Engineering Mechanics, 2005, 22(S1): 35-38,3.
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SELF-SIMILAR SOLUTIONS OF DYNAMIC PROPAGATION PROBLEMS OF COMPOSITE MATERIALS WITH AXISYMMETRIC CRACK

  • School of Architectural Engineering, Harbin Engineering University, Harbin 150001, P R China;2. Departmentof Civil Engineering, Northeastern University, Shenyang 110006, P R China;3. Material Science and Engineering School, Shenyang University of Science and Technology, Shenyang 110168, P R China

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  • Received Date: February 28, 2004
  • Revised Date: September 15, 2004
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  • The axisymmetric propagating problem of a penny-shaped crack in composite material is studied using complex function method. The general representations of analytical solutions with arbitrary index of self-similarity are deduced for axisymmetric dynamic fracture problems. The problems are transformed into Riemann-Hilbert problems and closed form solutions are obtained simply. The solutions of arbitrarily complex problems can be attained on the basis of superposition of the available solutions.
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