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A novel method combing finite element analysis and a stress function is presented to determine the complete singular stress field in angularly heterogeneous material V-notched structure. This is motivated by the challenge of calculating the stress field, which initiates cracks and structural failure. First, stress singularity orders are obtained through singularity characteristic analysis. Then, the governing and the compatibility equations for the angularly heterogeneous material are transformed into ordinary differential equations using a stress function based on the Williams asymptotic expansion. Solving these yields the stress function expression. Subsequently, coefficients in the asymptotic expansion are determined from finite element stress results, reconstructing the asymptotic stress field near the notch tip. The effects of the number of finite element nodes, characteristic distance, and truncation terms on stress intensity factor calculations are examined. Results show the stress intensity factor stabilizes with an increasing number of finite element nodes, indicating the selection of these nodes does not affect result stability. Stress intensity factors change with characteristic distance when the number of truncation terms is small, but stabilize as the number of truncated terms approaches five or six.
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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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