亀裂先端近傍応力場に関する高次項の効果的な算出法

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  • An efficient method for computation of singular and higher order terms of a crack-tip stress field
  • efficient method for computation of singular and higher order terms of a crack tip stress field

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A recently developed semi-analytical method, called scaled boundary finite element method, is applied to evaluate the coefficients of stress field at a crack-tip for two-dimensional linear-elastic cracked structures. The method has ability to analytically compute stress and displacement field of singularities region at the crack tip more accurately without any a priori assumptions. A simple and independent formulations for evaluating the coefficients, not only of the inverse square root singular term but also of the constant and higher order non-singular terms, of the stress fields near crack-tip is presented by comparing the stress along the radial points ahead of the crack-tip with that of standard Williams' eigenfunction solution for the crack-tip. The accuracy and efficiency of the formulations are examined by numerical examples for a range of crack sizes. The results are in agreement with available solutions in literatures

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