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| 单向陶瓷基复合材料任意应力本构行为快速计算方法 |
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韩笑1,2，高希光1,2，史剑3，宋迎东1,2,4，张盛1,2，于国强1,2
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1.南京航空航天大学 能源与动力学院 航空发动机热环境与热结构工业和信息化部重点实验室， 江苏 南京 210016;2.南京航空航天大学 能源与动力学院 江苏省航空动力系统重点实验室，江苏 南京 210016;3.中国航发四川燃气涡轮研究院，四川 成都 610000;4.南京航空航天大学 机械结构力学及控制国家重点实验室，江苏 南京 210016
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| 摘要: |
| 为了实现快速预测陶瓷基复合材料（CMCs）任意应力加卸载作用后的损伤状态和本构行为，对CMCs任意应力加卸载力学行为进行研究。提出基于剪滞模型的任意应力加卸载曲线简化方法，得到仅包含决定CMCs损伤状态的等效载荷曲线，直接计算CMCs在等效载荷曲线作用后的滑移区分布，避免对载荷曲线的逐点计算，进而预测了材料的损伤状态和应力应变行为。对一给定的载荷曲线，简化后峰值和谷值载荷总数减小了63.16%。将该原始加卸载曲线和简化后的等效载荷曲线分别带入剪滞模型和本文提出的滑移区分布计算过程，计算CMCs的滑移区分布和应变。结果表明，两种方法计算结果一致，说明本文提出的载荷曲线简化过程和滑移区分布计算过程是可行的。 |
| 关键词: 陶瓷基复合材料 载荷曲线 简化方法 剪滞模型 滑移区分布 |
| DOI：10.13675/j.cnki.tjjs.200152 |
| 分类号:TB332 |
| 基金项目:江苏省研究生科研与实践创新计划（KYCX19_0184）。 |
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| Efficient Calculation Method for Constitutive Behavior of Unidirectional Ceramic Matrix Composites under Arbitrary Loading |
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HAN Xiao1,2, GAO Xi-guang1,2, SHI Jian3, SONG Ying-dong1,2,4, ZHANG Sheng1,2, YU Guo-qiang1,2
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1.Key Laboratory of Aero-Engine Thermal Environment and Structure，Ministry of Industry and Information Technology， College of Energy and Power Engineering， Nanjing University of Aeronautics and Astronautics，Nanjing 210016，China;2.Jiangsu Province Key Laboratory of Aerospace Power System，College of Energy and Power Engineering， Nanjing University of Aeronautics and Astronautics，Nanjing 210016，China;3.AECC Sichuan Gas Turbine Establishment，Chendu 610000，China;4.State Key Laboratory of Mechanics and Control Mechanical Structures，Nanjing University of Aeronautics and Astronautics，Nanjing 210016，China
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| Abstract: |
| In order to rapidly predict the damage state and constitutive behavior of ceramic matrix composites （CMCs） under arbitrary loading， the mechanical behavior of CMCs under arbitrary loading was studied. A simplified method of arbitrary load curve was proposed based on the shear lag model， and the equivalent load curve that determines the damage state of CMCs was obtained. The distribution of slip regions of CMCs under equivalent load curve was obtained directly， avoiding the point by point calculation of the load curve. Then damage state and the stress-strain behavior of CMCs were predicted. For a given load curve， the sum of peak and valley loads is reduced by 63.16% after simplification. The original load curve and the equivalent load curve were， respectively， introduced into the shear lag model and the calculation process of the distribution of slip regions proposed in this paper， and the distribution of slip regions and strain of CMCs were calculated. The results show that the calculated results obtained by two methods are consistent， which proves that the simplification process of load curve and the calculation process of distribution of slip regions proposed in this paper are feasible. |
| Key words: Ceramic matrix composites Load curve Simplification method Shear-lag model Distribution of slip regions |
