| 功能梯度材料结构热力耦合概率分析方法 |
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| 引用本文： | 刘健,张琨,李滕,辛健强,姚建尧.功能梯度材料结构热力耦合概率分析方法[J].计算力学学报,2022,39(2):237-243. |
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| 作者姓名： | 刘健 张琨 李滕 辛健强 姚建尧 |
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| 作者单位： | 重庆大学 航空航天学院, 重庆 400044;中国航天科技集团公司第一研究院 系统工程业务部, 北京 100076;重庆大学 航空航天学院, 重庆 400044;重庆大学 非均质材料力学重庆市重点实验室, 重庆 400044 |
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| 基金项目： | 国家自然科学基金(11502037);重庆市基金(cstc2018jcyjA3066;cstc209jscx-zdztzxX0020)资助项目. |
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| 摘 要： | 基于自洽平均微观力学W-T(Wakashima-Tsukamoto)模型和拉丁超立方抽样,建立一种功能梯度平板热力耦合概率分析方法.以材料物理属性和空间分布的不确定性随机参数作为概率分析的输入,以热应力作为输出,基于本征正交分解POD(Proper Orthogonal Decomposition)对热应力的随机时间历...
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| 关 键 词： | 功能梯度材料 热响应 不确定性 概率分析 代理模型 降阶模型 |
| 收稿时间： | 2021/1/20 0:00:00 |
| 修稿时间： | 2021/11/5 0:00:00 |
Probabilistic analysis method of thermos-mechanical coupling of functional gradient materials structure |
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| LIU Jian,ZHANG Kun,LI Teng,XIN Jian-qiang,YAO Jian-yao.Probabilistic analysis method of thermos-mechanical coupling of functional gradient materials structure[J].Chinese Journal of Computational Mechanics,2022,39(2):237-243. |
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| Authors: | LIU Jian ZHANG Kun LI Teng XIN Jian-qiang YAO Jian-yao |
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| Institution: | College of Aerospace Engineering, Chongqing University, Chongqing 400044, China;Department of Systems Engineering, The First Academy of China Aerospace Science and Technology Corporation, Beijing 100072, China; College of Aerospace Engineering, Chongqing University, Chongqing 400044, China;Chongqing Key Laboratory of Heterogeneous Material Mechanics, Chongqing 400044, China |
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| Abstract: | A probabilistic thermo-mechanical coupling analysis tool based on the self-consistent mean micromechanical (Wakashima-Tsukamoto,W-T) model and Latin hypercube sampling is proposed in this paper.The Kriging surrogate model for thermal analysis and the Proper Orthogonal Decomposition (POD) reduced-order Kriging model for structural analysis are constructed by using uncertain random parameters to describe the physical properties and spatial distribution of the material as inputs to the probabilistic analysis and the thermal stress as outputs.The results show that the uncertainty of the thermal expansion coefficient and the thermal conductivity of the ceramic material have a significant effect on the thermal response of the structure;The use of the POD reduced order method for thermal stress prediction over time can significantly optimize the Kriging surrogate models;Meanwhile the proposed probabilistic analysis method can consider the effects of multiple random factors on the thermal response of functional gradient materials,and verifies the accuracy and validity of the method,which provides a reference for the design and sensitivity analysis improvement of functional gradient materials. |
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| Keywords: | functional gradient thermal response uncertainty probabilistic analysis surrogate model reduced order model |
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