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功能梯度空心及实心圆柱体旋转时的弹性及粘弹性解

A·M·任库尔 K·A·伊莉莎白 D·S·玛沙特

A·M·任库尔, K·A·伊莉莎白, D·S·玛沙特. 功能梯度空心及实心圆柱体旋转时的弹性及粘弹性解[J]. 应用数学和力学, 2008, 29(12): 1457-1471.
引用本文: A·M·任库尔, K·A·伊莉莎白, D·S·玛沙特. 功能梯度空心及实心圆柱体旋转时的弹性及粘弹性解[J]. 应用数学和力学, 2008, 29(12): 1457-1471.
A. M. Zenkour, K. A. Elsibai, D. S. Mashat. Elastic and Viscoelastic Solutions for Rotating Functionally Graded Hollow and Solid Cylinders[J]. Applied Mathematics and Mechanics, 2008, 29(12): 1457-1471.
Citation: A. M. Zenkour, K. A. Elsibai, D. S. Mashat. Elastic and Viscoelastic Solutions for Rotating Functionally Graded Hollow and Solid Cylinders[J]. Applied Mathematics and Mechanics, 2008, 29(12): 1457-1471.

功能梯度空心及实心圆柱体旋转时的弹性及粘弹性解

详细信息
  • 中图分类号: O343

Elastic and Viscoelastic Solutions for Rotating Functionally Graded Hollow and Solid Cylinders

  • 摘要: 逐步分析了旋转的功能梯度空心及实心长圆柱体问题的解.假设圆柱体的弹性模量和材料密度沿径向呈指数变化,Poisson比为常数.由平衡方程、相容方程、弹性变形理论及应力-应变关系,导出了统一的控制方程.根据超几何函数,求解该二阶微分控制方程,得到旋转功能梯度圆柱体的弹性变形.检验并讨论了圆柱体中的应力与非均质参数、几何、边界条件之间的相互关系.将旋转功能梯度空心及实心圆柱体的分析结果,与旋转均质各向同性圆柱体的结果进行了对比分析.同时,提出了旋转粘弹性圆柱体的粘弹性解,并验证了空心及实心圆柱体中应力与时间参数间的依赖关系.
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出版历程
  • 收稿日期:  2008-05-14
  • 修回日期:  2008-07-15
  • 刊出日期:  2008-12-15

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