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 引用本文: 何陵辉, 林志华, 刘人怀. 具有随厚度变化膨胀特征应变的弹性层的分析[J]. 应用数学和力学, 2003, 24(9): 881-891.
HE Ling-hui, LIM Chee-wah, LIU Ren-huai. Analysis of Elastic Layers with Dilative Eigenstrains Varying Through the Thickness[J]. Applied Mathematics and Mechanics, 2003, 24(9): 881-891.
 Citation: HE Ling-hui, LIM Chee-wah, LIU Ren-huai. Analysis of Elastic Layers with Dilative Eigenstrains Varying Through the Thickness[J]. Applied Mathematics and Mechanics, 2003, 24(9): 881-891.

• 中图分类号: O781

Analysis of Elastic Layers with Dilative Eigenstrains Varying Through the Thickness

• 摘要: 提出了含随厚度变化膨胀特征应变的弹性层在任意载荷作用下的一般分析步骤。该研究基于状态空间方法和一种渐近展开技巧。如果外载均匀,则展开式系数自前几项后为零,从而可得弹性层力学场量封闭形式的表达式。这一表达式仅依赖于中面的位移分量,后者由一组类似于经典板理论的二维微分方程控制。因此,获得二维方程的解便可立即给出弹性层的三维响应。作为例子,还详细分析了均匀分布载荷作用下的夹支椭圆层。
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出版历程
• 收稿日期:  2002-02-04
• 修回日期:  2003-04-22
• 刊出日期:  2003-09-15

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