Abstract
The solution of an infinite plane containing a macro-crack and a cluster of micro-cracks under uniaxial tensile load was presented based on the Muskhelishvili's complex function method and stepwise recursive method. The stress field and the stress intensity factor <i>K</i> were obtained. Combined with damage mechanics, the damage parameter <i>D</i> of the macro-crack tip and micro-crack tip under uniaxial tension was redefined, and the influence of different damage zone forms on the damage of the crack tip was analyzed. The results show that, both the chained and the re-chained distributed micro-cracks have an amplifying effect on macro-crack growth, and the amplifying effect enhances with the decrease of the inclination angle of the micro-crack or the distance between the macro-crack and the micro-cracks. When the inclination angle of the micro-crack is relative small, the damage parameters of the macro-crack and the micro-crack are greater than zero, and the damage parameter of the macro-crack increases with the increase of the micro-crack length. When the micro-cracks are evenly distributed in the continuous damage zone, the micro-cracks have an amplifying effect on macro-crack growth, and the damage parameter of the macro-crack increases with the increase of the micro-crack number.
Published Version
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