粘弹性介质中椭圆腔中谐波剪切波的衍射

IF 0.5 Q3 MATHEMATICS
M. Kh. Teshaev, I. M. Karimov, A. O. Umarov, Sh. I. Zhuraev
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引用次数: 0

摘要

摘要研究了粘弹性介质中椭圆圆柱腔中谐波剪切波的衍射问题。应力和变形之间的关系用积分玻尔兹曼-沃尔泰拉遗传关系来考虑。将无界粘弹性介质中椭圆腔在谐波剪切波作用下的动应力-应变状态问题简化为粘弹性的平面(平面变形)问题。拉梅方程可归结为带复参数的马蒂厄方程的解。它的解用Mathieu函数表示。得到了不同入射波频率、横波入射角和椭圆腔轴线比的数值结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Diffraction of Harmonic Shear Waves on an Elliptical Cavity Located in a Viscoelastic Medium

Diffraction of Harmonic Shear Waves on an Elliptical Cavity Located in a Viscoelastic Medium
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来源期刊
Russian Mathematics
Russian Mathematics MATHEMATICS-
CiteScore
0.90
自引率
25.00%
发文量
0
期刊介绍: Russian Mathematics  is a peer reviewed periodical that encompasses the most significant research in both pure and applied mathematics.
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