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Structural Engineering and Mechanics
  Volume 22, Number 5, March30 2006 , pages 613-629

An efficient computational method for
stress concentration problems
Santosh Shrestha and Mitao Ohga

    In this paper a recently developed scaled boundary finite element method (SBFEM) is applied to simulate stress concentration for two-dimensional structures. In addition, a simple and independent formulation for evaluating the coefficients, not only of the singular term but also higher order non-singular terms, of the stress fields near crack-tip is presented. The formulation is formed by comparing the displacement along the radial points ahead of the crack-tip with that of standard Williams?eigenfunction solution for the crack-tip. The validity of the formulation is examined by numerical examples with different geometries for a range of crack sizes. The results show good agreement with available solutions in literatures. Based on the results of the study, it is conformed that the proposed numerical method can be applied to simulate stress concentrations in both cracked and uncracked structure components more easily with relatively coarse and simple model than other computational methods.
Key Words
    stress concentration; scaled boundary finite element method; stress intensity factor; T-stress; higher order terms.
Department of Civil and Environmental Engineering, Ehime University, 3, Bunkyo-Cho, Matsuyama 790-8577, Japan

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