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带热障涂层构件界面应力分析边界元法 被引量:2

ADVANCED BOUNDARY ELEMENT METHOD FOR INTERFACIAL STRESS ANALYSIS OF THERMAL BARRIER COATED COMPONENTS
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摘要 提出带热障涂层构件二维应力分析边界元法。对薄体应力分析边界元中近奇异积分处理方法进行完善及改进 ,并将其推广应用于热应力及离心应力边界元分析。提出可以考虑温度及离心载荷的多层域结构应力分析边界元公式。数值算例结果表明 ,采用本文方法可用少量单元得到梯度温度场、面力和 或离心载荷条件下涂层界面应力分布 ,三种载荷情况下界面切向拉伸应力的最大相对误差小于 0 .2 3 %。本方法可作为带热障涂层构件设计及涂层剥落失效分析的有效工具。 An advanced boundary element method (BEM) was proposed for two-dimensional interfacial stress analysis of thermal barrier coated components. First, the non-linear transformation scheme in stress analysis of thin-body under traction by BEM was improved and extended to evaluate the nearly singular integral in BEM for thermal and centrifugal stress analysis. Then BEM formulation for multi-layer structure under thermal and centrifugal loads was presented. Numerical examples demonstrate that accurate interfacial stresses of thermal barrier coated components can be obtained efficiently by the method in this paper. The maximum relative percentage errors of interfacial tangent tension stresses under gradient temperature field, traction and centrifugal load were less than 0.08%, 0.13% and 0.23%, respectively, even when the ratio of element length to coating thickness approached 10 9. The BEM presented in this paper will be an efficient tool for thermal barrier coating design and coating-peeling-failure analysis.
作者 董曼红 陆山
出处 《机械强度》 CAS CSCD 北大核心 2003年第2期154-158,共5页 Journal of Mechanical Strength
基金 航空科学基金 国家教委留学回国人员基金 西北工业大学双新人才基金资助~~
关键词 边界元法 热障涂层 近奇异积分 多层域 热应力 离心应力 Boundary element method Thermal barrier coating Nearly singular integral Multi-layer region Thermal stress Centrifugal stress
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参考文献7

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同被引文献40

  • 1高效伟,Ch. Zhang.非均质问题中的无网格边界单元法[J].固体力学学报,2006(S1):62-69. 被引量:9
  • 2Luo J F, Liu Y J, Berger E. Interfaeial stress analysis for multi-coating systems using an advanced boundary element method [J ]. Computational Mechanic, 2000,24 : 448-455.
  • 3Luo J F, Liu Y J, Berger E. Analysis of two-dimensional thin-structures (from micro-to nano-seales) using the element method[J]. Computational Mechanics, 1998,22 : 404-412.
  • 4Dong Chun-ying, BonnetT M. An integral formulation for steady-state elastoplastic contact over a coated half-plane [J ]. Computational Mechanics, 2002, 28:105-121.
  • 5Brebbia C A. Progress in Boundary Element Method [C]. New York, Spring-verlag, 1984.
  • 6Niu Z R, Wendland W L, Wang X X, et al. A semianalytical algorithm for the evaluation of the nearly singular integrals in three-dimensional boundary element methods[J]. Comput Methods Appl Mech Engrg, 2005,194 :1057-1074.
  • 7Gao X W, Davies T G. 3D multi-region BEM with corner and edges[J]. International Journal of Solids and Structures ,2000,37: 1549-1560.
  • 8Gao X W, Guo L, Zhang C H. Three-step multi-domain BEM solver for nonhomogeneous material problems[J]. Engineering Analysis with Boundary Elements, 2007,31 : 965-973.
  • 9Liu Y G. A fast multipole boundary element method for 2D multi-domain elastostatie problems based on a dual BIE formulation[J]. Computational Mechanics, 2008. (in Press).
  • 10Gao X W, Zhang C H, Sladek G,et al. Fracture Analysis of Functionally Graded Materials by a BEM [J]. Composites Science and Technology, 2008, 68: 1209-1215.

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