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In order to accurately calculate the stress intensity factor at the deepest point during the crack propagation process of high-pressure vessels, a method was proposed for fitting the stress data with high-order polynomials and then calculating the stress intensity factor. Taking the crack at the opening of a high-pressure vessel as an example, based on stress data collected with varying data volumes, polynomial fitting of varying degrees was employed to calculate the stress intensity factor at the deepest point of each crack depth. The influence of polynomial degree and data collection volume on the calculation results was analyzed, and the calculation results of this method were compared and validated against the linear interpolation method in the literature. The research results indicate that as the increase of polynomial degree, the characterization accuracy of the fitted curve improves, and the calculation results gradually converge and stablize. The relative error between the calculation results using low-order (third-order) and high-order polynomial fitting shows an "inverted S" trend, with a minimum relative error of about −20%; As the amount of data increases, the calculation results gradually converge, and the relative error of the calculation results under lower and higher data volumes shows a trend of oscillation attenuation, with a maximum relative error of about 7.1%; The calculation results based on high-order polynomial fitting and piecewise linear interpolation are basically consistent, indicating that this method has certain reliability and is suitable for calculating the stress intensity factor at the deepest point during crack propagation.
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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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