Simulation of oxide growth in thermal barrier coating based on optimal transport meshless method
-
摘要:
在自研的最优输运无网格(OTM)框架下，针对热障涂层氧化层(TGO)生长力学等效模型开发了厚度增长算法，模拟TGO各向异性氧化生长过程。利用该方法以TGO层典型的转折段为对象，研究了热循环载荷作用下的TGO层生长过程中应力、位移随周期载荷的变化规律。仿真结果与热障涂层试验结果吻合。结果表明：该方法能很好模拟模拟界面生长过程中出现的褶皱现象，与有限元相比单元变形均匀，适合障涂层TGO层生长过程的数值模拟。热障涂层应力最大位置主要出现在凸起位置，凸起处的横向变化具有加剧TGO层界面大变形的趋势。
Abstract:Under the self-developed optimal transport meshless (OTM) framework, a thickness growth algorithm was developed and the anisotropic oxidation growth process of thermal oxide layer (TGO) was simulated. Using this method, the typical transition section of TGO layer was taken as an object to study the change of stress and displacement under thermal cycling load. The simulation results coincided with the test. The results showed that this method can well simulate the wrinkle phenomenon in the process of interface growth. Compared with the finite element method, the deformation of the element was uniform, making it suitable for numerical simulation of the growth process of TGO. The maximum stress of the thermal barrier coating mainly occurred at the convex position, and the lateral change of the convex position had a tendency to aggravate the large deformation of the oxide layer interface.
-
Key words:
- thermal barrier coating /
- meshless method /
- shape function /
- thermal cycling /
- large deformation
-
图 11 OTM模拟结果与真实形貌对比
Figure 11. OTM simulation results compared with the real morphology
-
[1] 徐惠彬,宫声凯. 航空发动机热障涂层材料体系的研究[J]. 航空学报,2000,21(1): 8-13.XU Huibin,GONG Shengkai. Study on thermal barrier coating material system of aero-engine[J]. Journal of Aeronautics,2000,21(1): 8-13. (in Chinese) [2] 刘纯波,林锋,蒋显亮. 热障涂层的研究现状与发展趋势[J]. 中国有色金属学报,2007,17(1): 1-13. doi: 10.3321/j.issn:1004-0609.2007.01.001LIU Chunbo,LIN Feng,JIANG Xianliang. Research status and development trend of thermal barrier coatings[J]. Chinese Journal of Nonferrous Metals,2007,17(1): 1-13. (in Chinese) doi: 10.3321/j.issn:1004-0609.2007.01.001 [3] 贾攀峰,齐红宇,李少林,等. 氧化层非均匀增长对热障涂层应力分布的影响[J]. 航空动力学报,2018,33(7): 1606-1611.JIA Panfeng,QI Hongyu,LI Shaolin,et al. Effect of non-uniform growth of oxide layer on stress distribution of thermal barrier coating[J]. Journal of Aerospace Power,2018,33(7): 1606-1611. (in Chinese) [4] 刘奇星. 热障涂层涡轮叶片失效的有限元模拟[D]. 湖南 湘潭:湘潭大学,2012.LIU Qixing. Finite element simulation of turbine blade failure with thermal barrier coating[D]. Xiangtan Hunan: Xiangtan University,2012. (in Chinese) [5] 周益春,刘奇星,杨丽,等. 热障涂层的破坏机理与寿命预测[J]. 固体力学学报,2010,36(5): 504-531.ZHOU Yichun,LIU Qixing,YANG Li,et al. Failure mechanism and life prediction of thermal barrier coatings[J]. Journal of Solid Mechanics,2010,36(5): 504-531. (in Chinese) [6] WEN Q,JING F L,ZHANG C X,et al. Review of numerical simulation of TGO growth in thermal barrier coatings[J]. Cmes-Computer Modeling in Engineering and Sciences,2022,132(2): 361-391. doi: 10.32604/cmes.2022.019528 [7] 郭兴旺,丁蒙蒙. 热障涂层厚度及厚度不均热无损检测的数值模拟[J]. 航空学报,2010,31(1): 198-203.GUO Xingwang,DING Mengmeng. Numerical simulation of thermal nondestructive testing for thickness and uneven thickness of thermal barrier coating[J]. Journal of Aeronautics,2010,31(1): 198-203. (in Chinese) [8] 肖逸奇. 涡轮叶片热障涂层服役可靠性评价及其应用研究[D]. 湖南 湘潭:湘潭大学,2019.XIAO Yiqi. Service reliability evaluation and application of thermal barrier coating for turbine blades[D]. Xiangtan Hunan:Xiangtan University,2019.(in Chinese) [9] 张雄,宋康祖. 无网格法研究进展及其应用[J]. 计算力学学报,2003,21(6): 730-742. doi: 10.3969/j.issn.1007-4708.2003.06.015ZHANG Xiong,SONG Kangzu. Research progress and application of meshless method[J]. Journal of Computational Mechanics,2003,21(6): 730-742. (in Chinese) doi: 10.3969/j.issn.1007-4708.2003.06.015 [10] 刘谋斌,宗智,常建忠. 光滑粒子动力学方法的发展与应用[J]. 力学进展,2011,41(2): 217-234.LIU Moubin,ZONG Zhi,CHANG Jianzhong. Development and application of smooth particle dynamics method[J]. Mechanical Progress,2011,41(2): 217-234. (in Chinese) [11] 顾元通,丁桦. 无网格法及其最新进展[J]. 力学进展,2005,35(3): 323-337. doi: 10.3321/j.issn:1000-0992.2005.03.003GU Yuantong,DING Hua. Meshless method and its latest development[J]. Mechanical Progress,2005,35(3): 323-337. (in Chinese) doi: 10.3321/j.issn:1000-0992.2005.03.003 [12] 杨秀峰,刘谋斌. 光滑粒子动力学SPH方法应力不稳定性的一种改进方案[J]. 物理学报,2012,61(22): 261-268. doi: 10.7498/aps.61.224701YANG Xiufeng,LIU Moubin. An improved scheme of smooth particle dynamics SPH method for stress instability[J]. Journal of Physics,2012,61(22): 261-268. (in Chinese) doi: 10.7498/aps.61.224701 [13] LI B. The optimal transportation method in solid mechanics[D]. Pasadena,US:California Institute of Technology,2009. [14] ARROYO M,ORTIZ M. Local maximum-entropy approximation schemes:a seamless bridge between finite elements and meshfree methods[J]. International Journal for Numerical Methods in Engineering,2006,65(13): 2167-2202. doi: 10.1002/nme.1534 [15] 周浩,李毅,刘海,等. 最优输运无网格方法及其在液滴表面张力效应模拟中的应用[J]. 物理学报,2021,89(24): 24-35.ZHOU Hao,LI Yi,LIU Hai,et al. Optimal transport meshless method and its application in the simulation of droplet surface tension effect[J]. Journal of Physics,2021,89(24): 24-35. (in Chinese) [16] LI B,HABBAL F,ORTIZ M. Optimal transportation meshfree approximation schemes for fluid and plastic flows[J]. International Journal for Numerical Methods in Engineering,2010,83(12): 1541-1579. doi: 10.1002/nme.2869 [17] LI B,KIDANE A,RAVICHANDRAN G,et al. Verification and validation of the optimal transportation meshfree (OTM) simulation of terminal ballistics[J]. International Journal of Impact Engineering,2012,42(1): 25-36. [18] FAN J,LIAO H,WANG H,et al. Local maximum-entropy based surrogate model and its application to structural reliability analysis[J]. Structural and Multidisciplinary Optimization,2018,57(1): 373-392. doi: 10.1007/s00158-017-1760-y [19] SUKUMAR N. Maximum entropy approximation[C]//Bayesian Inference and Maximum Entropy Methods in Science and Engineering.San José,US:San José State University,2005:337-344. [20] KARLSSON A M,LEVI C G,EVANS A G. A model study of displacement instabilities during cyclic oxidation[J]. Acta Materialia,2002,50(6): 1263-1273. doi: 10.1016/S1359-6454(01)00403-7 -
下载:
点击查看大图
计量
- 文章访问数: 102
- HTML浏览量: 115
- PDF量: 55
- 被引次数: 0