| 用应力函数法求功能梯度梁的弹性理论解 |
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| 引用本文： | 校金友,张铎,白宏伟.用应力函数法求功能梯度梁的弹性理论解[J].强度与环境,2005,32(4):17-21,38. |
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| 作者姓名： | 校金友 张铎 白宏伟 |
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| 作者单位： | 西北工业大学航天学院,西安,710072;西北工业大学航天学院,西安,710072;西北工业大学航天学院,西安,710072 |
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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。
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| 关 键 词： | 功能梯度材料 FGM梁、板 相容方程 应力函数 |
| 文章编号： | 1006-3919（2005）04-0017-05 |
| 收稿时间： | 2004-11-03 |
| 修稿时间： | 2005-04-19 |
Stress function method for elasticity solution of functionally graded beams |
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| XIAO Jin-you,ZHANG Duo,BAI Hong-wei.Stress function method for elasticity solution of functionally graded beams[J].Structure & Environment Engineering,2005,32(4):17-21,38. |
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| Authors: | XIAO Jin-you ZHANG Duo BAI Hong-wei |
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| Abstract: | 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. |
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| Keywords: | functionally graded material FGM beams and plates consistent equation AiryJs stress function |
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