| 基于Cosserat连续体理论的疲劳寿命概率可靠性分析 |
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| 引用本文： | 任远,尹进,张成成,侯乃先,张盛,陈飙松. 基于Cosserat连续体理论的疲劳寿命概率可靠性分析[J]. 计算机辅助工程, 2017, 26(1): 45-51 |
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| 作者姓名： | 任远 尹进 张成成 侯乃先 张盛 陈飙松 |
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| 作者单位： | 中航商用航空发动机有限责任公司;大连理工大学 工业装备结构分析国家重点实验室;中航商用航空发动机有限责任公司;中航商用航空发动机有限责任公司;大连理工大学 工业装备结构分析国家重点实验室;大连理工大学 工业装备结构分析国家重点实验室 |
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| 基金项目： | 国家自然科学基金(11232003, 91315302)；国家重点基础研究发展计划(“九七三”计划)(2010CB832704)；高等学校学科创新引智计划(B08014)；教育部博士点基金(20130041110050)；上海市科学技术委员会科研计划(13DJ1400200) |
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| 摘 要： | 基于Cosserat连续体理论建立考虑应变梯度效应的粉末高温合金弹塑性模型.该模型考虑微尺度长度效应，并能消除缺陷局部化问题求解时的网格依赖性.基于参变量变分原理提出一种高效的求解方法，该方法将原非线性问题转化为互补问题求解，可大大提高求解效率和收敛性.针对一种假想涡轮盘模型，将Cosserat尺度参数和Basquin斜率作为随机变量，分别采用蒙特卡洛法与二阶矩法进行疲劳寿命概率可靠度计算.结果表明二阶矩法在保证精度的情况下具有较高的效率.
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| 关 键 词： | 应变梯度理论； 粉末合金； 尺度效应； 弹塑性； 参变量变分原理； 涡轮盘； 不确定性； 可靠度方法 |
| 收稿时间： | 2017-01-03 |
| 修稿时间： | 2017-02-01 |
Probabilistic reliability analysis of fatigue life based on Cosserat continuum theory |
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| REN Yuan,YIN Jin,ZHANG Chengcheng,HOU Naixian,ZHANG Sheng and CHEN Biaosong. Probabilistic reliability analysis of fatigue life based on Cosserat continuum theory[J]. Computer Aided Engineering, 2017, 26(1): 45-51 |
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| Authors: | REN Yuan YIN Jin ZHANG Chengcheng HOU Naixian ZHANG Sheng CHEN Biaosong |
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| Affiliation: | AVIC Commercial Aircraft Engine Co., Ltd.;State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology;AVIC Commercial Aircraft Engine Co., Ltd.;AVIC Commercial Aircraft Engine Co., Ltd.;State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology;State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology |
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| Abstract: | Considering the strain gradient effect, an elastoplastic model of powder metallurgy superalloy is proposed on the basis of Cosserat continuum theory. The model takes into account the effect of micro scale length and can eliminate the mesh dependence when solving the problem of localization of defects. Based on parametric variational principle, an efficient solution method is proposed. The original nonlinear problem is transformed into the complementary problem to solve by the method, which can greatly improve the efficiency and convergence of the solution. As to a hypothetical turbine disk model, the Cosserat scale parameter and the Basquin slope are considered as random variables, and Monte Carlo method and the second moment method are used to calculate the probabilistic reliability of fatigue life. The results show that the efficiency of second moment method is high in the case of ensuring accuracy. |
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| Keywords: | strain gradient theory powder alloy scale effect elastoplasticity parametric variational principle turbine disk uncertainty reliability method |
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