Zhang Ning-sheng, Zhao Xue-ren, Hsueh Dah-wei. A Weighted Residual Method for Elastic-Plastic Analysis near a Crack Tip and the Calculation of the Plastic Stress Intensity Factors[J]. Applied Mathematics and Mechanics, 1991, 12(12): 1055-1066.
Citation: Zhang Ning-sheng, Zhao Xue-ren, Hsueh Dah-wei. A Weighted Residual Method for Elastic-Plastic Analysis near a Crack Tip and the Calculation of the Plastic Stress Intensity Factors[J]. Applied Mathematics and Mechanics, 1991, 12(12): 1055-1066.

A Weighted Residual Method for Elastic-Plastic Analysis near a Crack Tip and the Calculation of the Plastic Stress Intensity Factors

  • Received Date: 1990-12-10
  • Publish Date: 1991-12-15
  • In this paper, a weighted residual method for the elastic-plastic analysis near a crack tip is systematically given by taking the model of power-law hardening under plane strain condition as a sample. The elastic-plastic solutions of the crack lip field and an approach based on the superposition of the nonlinear finite element method on the complete solution in the whole crack body field, to calculate the plastic stress intensity factors, are also developed. Therefore, a complete analvsis based on the calculation both for the crack tip field and for the whole crack body field is provided.
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