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用应力函数法求功能梯度梁的弹性理论解 被引量：3

Stress function method for elasticity solution of functionally graded beams
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摘要 假设弹性模量为厚度的指数函数,泊松比为常数,用应力函数法求解FGM梁的弹性理论解。得到了FGM简支梁弯曲问题的解析解。考察了不同弹性模量变化规律对FGM深梁位移和应力分量的影响。为校验FGM梁、板近似理论和数值方法的有效性提供了依据。 Young＇s modulus is assumed to be graded through the thickness according exponential-law, and Poisson＇s ratio is constant. The stress function method is introduced to get the elasticity solution for FGM beams. Elasticity solution for simply-supported FGM beams subjected to any transverse force is obtained. Effects of the Young＇s modulus＇s distributing rules on the displacements and stresses for FGM deep beams are then investigated. The proposed elasticity solution can be used to assess the validity of various approximate theories and numerical methods for FGM beams and plates.
作者 校金友 张铎 白宏伟
机构地区 西北工业大学航天学院
出处 《强度与环境》 2005年第4期17-21,38,共6页 Structure & Environment Engineering
关键词 功能梯度材料 FGM梁、板 相容方程 应力函数 functionally graded material FGM beams and plates consistent equation AiryJs stress function
分类号 O343 [理学—固体力学] V214.8 [航空宇航科学与技术—航空宇航推进理论与工程]
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参考文献10

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二级参考文献84

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共引文献95

同被引文献34

  • 1姚文娟,叶志明.不同模量横力弯曲梁的解析解[J].应用数学和力学,2004,25(10):1014-1022. 被引量：45
  • 2朱昊文,李尧臣,杨昌锦.功能梯度压电材料板的有限元解[J].力学季刊,2005,26(4):567-571. 被引量：8
  • 3阿巴尔楚米扬.不同模量弹性理论[M].邬瑞锋,张允真译.北京:中国铁道出版社,1986:11-22.
  • 4张驰,校金友.功能梯度材料的有限元方法研究[J].飞机设计,2007,27(4):31-33. 被引量：3
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  • 6Abrate S. Impact on composite structuresEM]. Cam- bridge UK: Cambridge University Press, 1998. Anderson TPu A 3-D elasticity solution for a sandwich composite with functionally graded core subjected to transverse loading by a rigid sphere I-J]. Composite Structures,.
  • 7Sankar B V. An elasticity solution for functionally gra- ded beams [-J]. Composites Science and Technology, 2001,61(5) .689-696.
  • 8Zhong Z, Yu T Analytical solution of a cantilever func- tionally graded beam[-J-], Composites Science and Tech- nology, 2007,67 : 481-488.
  • 9Venkataraman S, Sankar B V. Elasticity solution for stresses in a sandwich beam with functionally graded core[J, AIAA, 2003,41 (12) : 2501-2505.
  • 10Hsueh C H, Lee S. Modeling of elastic thermal stresses in two materials joined By a graded layer[J-]. Compos- ites: Part B, 2003,34 (8) : 747-752.

引证文献3

二级引证文献5

强度与环境
2005年 第4期

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