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变厚度非均匀粘弹性复合圆柱体的旋转应力

A·M·任库尔

A·M·任库尔. 变厚度非均匀粘弹性复合圆柱体的旋转应力[J]. 应用数学和力学, 2011, 32(4): 483-496. doi: 10.3879/j.issn.1000-0887.2011.04.010
引用本文: A·M·任库尔. 变厚度非均匀粘弹性复合圆柱体的旋转应力[J]. 应用数学和力学, 2011, 32(4): 483-496. doi: 10.3879/j.issn.1000-0887.2011.04.010
A. M. Zenkour. Stresses in a Rotating Heterogeneous Viscoelastic Composite Cylinder With Variable Thickness[J]. Applied Mathematics and Mechanics, 2011, 32(4): 483-496. doi: 10.3879/j.issn.1000-0887.2011.04.010
Citation: A. M. Zenkour. Stresses in a Rotating Heterogeneous Viscoelastic Composite Cylinder With Variable Thickness[J]. Applied Mathematics and Mechanics, 2011, 32(4): 483-496. doi: 10.3879/j.issn.1000-0887.2011.04.010

变厚度非均匀粘弹性复合圆柱体的旋转应力

doi: 10.3879/j.issn.1000-0887.2011.04.010
详细信息
  • 中图分类号: O343

Stresses in a Rotating Heterogeneous Viscoelastic Composite Cylinder With Variable Thickness

  • 摘要: 在平面应变的假设下,给出了两个复合弹性圆柱体旋转时的解析解.外柱是由厚度按公式变化的正交各向异性材料所组成,它包裹着一个等厚度纤维增强粘弹性均匀各向同性的实心圆柱体.外圆柱体的厚度和弹性性质按半径方向的幂函数变化.应用边界和连续条件,确定复合圆柱体旋转时的径向位移和应力,应用等效模量和Illyushin逼近法,得到问题的粘弹性解.讨论了各向异性、厚度变化、本构参数以及时间参数,对径向位移和应力的影响.
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出版历程
  • 收稿日期:  2010-05-02
  • 修回日期:  2010-11-25
  • 刊出日期:  2011-04-15

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