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To study the problem of a semi-infinite plane with an embedded deflected crack and a microcrack at any position under tensile loading, the integral equation for the corresponding dislocation density is established based on the method of continuous distributions of dislocations, and its mechanical parameters are obtained using the Gauss-Chebyshev numerical integration method. The theoretical results are verified using the finite element method. Compared with the case without microcracks, microcracks in certain directions (i. e., the azimuth angle of the microcrack is between -90° and 45°) promote the growth of the main crack, while microcracks in other directions (i. e., the azimuth angle of the microcrack is between 45° and 90°) inhibit its growth. The stress intensity factor at the main crack tip decreases with the increase of the embedded depth of the crack and the distance from the center of the microcrack to the tip of the deflected main crack. When the azimuth angle of the microcrack is between -90° and -65°, or between -25° and 10°, the propagation direction of the main crack deflects clockwise from the original propagation direction. When the azimuth angle of the microcrack is between -65° and -25°, or between 10° and 90°, the propagation direction of the main crack deflects counterclockwise from the original propagation direction. Horizontal microcracks have a greater influence on the propagation direction of the main crack and the equivalent stress intensity factor compared with inclined microcracks.
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| 科 Family | 属数 Number of genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) | 属 Genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) |
|---|---|---|---|---|---|---|
| 鹅膏菌科Amanitaceae | 2 | 11 | 5.26 | 鹅膏菌属 Amanita | 10 | 4.78 |
| 小菇科 Mycenaceae | 2 | 12 | 5.74 | 丝盖伞属 Inocybe | 5 | 2.39 |
| 多孔菌科 Polyporaceae | 8 | 14 | 6.70 | 蜡蘑属 Laccaria | 5 | 2.39 |
| 红菇科 Russulaceae | 3 | 23 | 11.00 | 小皮伞属 Marasmius | 6 | 2.87 |
| 小菇属 Mycena | 11 | 5.26 | ||||
| 光柄菇属 Pluteus | 5 | 2.39 | ||||
| 红菇属 Russula | 17 | 8.13 | ||||
| 栓菌属 Trametes | 5 | 2.39 |
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