平面波在两个横向各向同性微拉伸半空间界面上的反射和传输

IF 2.3 3区 工程技术 Q2 MECHANICS
Princy Gupta, Jitander Singh Sikka
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引用次数: 0

摘要

在本文中,我们考虑了平面波在两个不同横向各向同性微拉伸弹性半空间边界处的反射和透射问题。这个问题的主要目的是研究微拉伸弹性、微自转和横向各向同性对波传播的影响。当平面波入射到两个不同半空间的边界时,会产生四个反射波和四个透射波。得出了反射波和透射波的振幅比和能量比关系,这取决于材料参数和传播角度。使用 MATLAB 软件绘制了振幅比和能量比平方根与传播角度的关系图,以观察微拉伸弹性、微自转和横向各向同性的影响。理论和数值结果表明,微拉伸场、微自转和横向各向同性对波的传播具有显著的依赖性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Reflection and transmission of plane waves at interface between two transversely isotropic microstretch half-spaces

Reflection and transmission of plane waves at interface between two transversely isotropic microstretch half-spaces

Reflection and transmission of plane waves at interface between two transversely isotropic microstretch half-spaces

In the present paper, we consider the problem of plane wave reflection and transmission at the boundary of two different transversely isotropic microstretch elastic half-spaces. The main purpose of this problem is to examine the effect of microstretch elasticity, microrotation and transverse isotropy on wave propagation. Four reflected and four transmitted waves are produced when a plane wave is incident at the boundary between two different half-spaces. The relations for Amplitude ratios and Energy ratios of reflected and transmitted waves are derived which depends upon the material parameters and angle of propagation. The Amplitude ratios and square root of Energy ratios are plotted against the angle of propagation using MATLAB Software to observe the effect of microstretch elasticity, microrotation and transverse isotropy. Theoretical and numerical results show the significant dependence of microstretch fields, microrotation and transverse isotropy on wave propagation.

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来源期刊
Acta Mechanica
Acta Mechanica 物理-力学
CiteScore
4.30
自引率
14.80%
发文量
292
审稿时长
6.9 months
期刊介绍: Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.
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