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| Analysis of hypersingular integral equation method to 3D dynamic crack |
| Received:January 29, 2018 Revised:June 20, 2018 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20180129001 |
| KeyWord:3D dynamic fracture hypersingular integral equations integral kernel function Lubich convolution quadrature dynamic stress intensity factor |
| Author | Institution |
| 冉然 |
武汉科技大学城市学院, 武汉 |
| 秦太验 |
中国农业大学 理学院, 北京 |
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| Abstract: |
| Combining Betti-Rayleigh equation with dynamic boundary integral equation,the dynamic basic equation of elasticity is substituted into a couple of hypersingular integral equations.A basic solution in Laplace domain is introduced to derive the integral kernel function,which is divided into a static part and a dynamic part after the dominant analysis,and the dynamic part is nonsingular.According to the analytic theory of hypersingular integral equations,the square root models of displacement discontinuities in the element near the crack front are applied.Finally,with the Lubich convolution quadrature to implement dispose the Laplace transform and the collocation method to compute the hypersingular integral,the numerical solution is obtained.FORTRAN codes are programmed for examples of an elliptic crack,therefore the time variation of dynamic stress intensity factor of mode I crack under impact load is acquired.It is shown that the numerical results are stable and fast convergent. |
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