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无限非均质横观各向同性黏弹性介质中具有圆柱孔洞时的振动

D·P·阿查亚 因德拉吉·罗伊 P·K·比沃斯

D·P·阿查亚, 因德拉吉·罗伊, P·K·比沃斯. 无限非均质横观各向同性黏弹性介质中具有圆柱孔洞时的振动[J]. 应用数学和力学, 2008, 29(3): 331-341.
引用本文: D·P·阿查亚, 因德拉吉·罗伊, P·K·比沃斯. 无限非均质横观各向同性黏弹性介质中具有圆柱孔洞时的振动[J]. 应用数学和力学, 2008, 29(3): 331-341.
D. P. Acharya, Indrajit Roy, P. K. Biswas. Vibration of an Infinite Inhomogeneous Trasversely Isotropic Viscoelastic Medium With a Cylindrical Hole[J]. Applied Mathematics and Mechanics, 2008, 29(3): 331-341.
Citation: D. P. Acharya, Indrajit Roy, P. K. Biswas. Vibration of an Infinite Inhomogeneous Trasversely Isotropic Viscoelastic Medium With a Cylindrical Hole[J]. Applied Mathematics and Mechanics, 2008, 29(3): 331-341.

无限非均质横观各向同性黏弹性介质中具有圆柱孔洞时的振动

详细信息
  • 中图分类号: O343.8;O345

Vibration of an Infinite Inhomogeneous Trasversely Isotropic Viscoelastic Medium With a Cylindrical Hole

  • 摘要: 在无限介质中,研究了横截面为圆的柱形孔洞表面上瞬时径向力或扭转引起的扰动,讨论了高阶黏弹性和横观各向同性弹性参数的非均匀性对扰动产生的影响.根据高阶黏弹性Voigt模型,将非零应力分量简化为径向位移分量项表示,这对横观各向同性和高阶黏弹性固体介质是合宜的.导出了含有弹性和黏弹性参数以幂律变化时的应力方程.在瞬时力和扭转边界条件下,求解该方程,求得径向位移分量以及和它相关的应力分量,用修正的Bessel函数项来表示.对瞬时径向力作用问题进行了数值分析,并给出了不同阶的黏弹性和非均质性时的位移和应力变化图形.扭转作用时扰动的数值解可以用类似的方法研究,这里不再深入讨论.
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出版历程
  • 收稿日期:  2007-06-01
  • 修回日期:  2007-12-28
  • 刊出日期:  2008-03-15

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