| 解析厚件压缩问题的积分中值定理 |
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| 引用本文： | 赵德文,赵志业,张强. 解析厚件压缩问题的积分中值定理[J]. 东北大学学报(自然科学版), 1989, 0(1) |
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| 作者姓名： | 赵德文 赵志业 张强 |
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| 作者单位： | 东北工学院金属压力加工系原理教研室(赵德文，赵志业)，东北工学院金属压力加工系原理教研室(张强) |
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| 摘 要： | 本文运用积分中值定理得到厚件压缩滑移线场单位压力计算的显式,并得到近似解为 p/2k=2.53,与数值计算结果(p/2k=2.54)相对误差仅为0.39％,这一结果不仅从理论上验证了传统数值解的可靠性,而且大大简化了计算步骤。
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| 关 键 词： | 厚件 压缩 中值定理 数值计算 |
Analytical Solution of Thick Slab''''s Punch Indentation by Integral Mean Value Theorem |
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| Zhao Dewen,Zhao Zhiye,Zhang Qian. Analytical Solution of Thick Slab''''s Punch Indentation by Integral Mean Value Theorem[J]. Journal of Northeastern University(Natural Science), 1989, 0(1) |
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| Authors: | Zhao Dewen Zhao Zhiye Zhang Qian |
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| Affiliation: | Zhao Dewen;Zhao Zhiye;Zhang Qian |
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| Abstract: | Applying the integral mean value theorem to the analytical solution of thickslab's punch indentation, an explicit formula is given to the unit pressure in slipline field with an approximate solution of p/2k=2.53. The relative error of thisapproximate value to its numerical solution (2. 54) is found only 0.39%. Not onlythe theoretical reliability of conventional numerical solution but the simplifica-tion of calculation are provided by this method. |
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| Keywords: | thick slab punch indentation mean value theorem numerical computation |
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