通过各向同性热弹性扩散介质的轴对称波的研究

IF 2.5 3区数学 Q1 MATHEMATICS, APPLIED

Computational & Applied Mathematics Pub Date : 2011-07-18 DOI:10.1590/S1807-03022011000200001

Rajesh Kumar, M. Panchal

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引用次数: 3

摘要

研究了轴对称柱面波在圆柱孔中通过无限宽均匀各向同性热弹性扩散介质的传播。本文采用了三种热弹性理论，即耦合热弹性理论(CT)、Lord and Shulman理论(L-S)和Green and Lindsay理论(G-L)来研究该问题。导出了空孔和充液孔相速度与波数、孔半径及其它材料参数的频率方程。为了理解相速度和衰减系数随波数的变化规律，本文用图形说明了所得到的数值结果。从目前的调查中还推断出一个特别的案件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A study of axi-symmetric waves through an isotropic thermoelastic diffusive medium

The paper deals with the propagation of axial symmetric cylindrical surface waves in a cylindrical bore through a homogeneous isotropic thermoelastic diffusive medium of infinite extent. The three theories of thermoelasticity namely, Coupled Thermoelasticity (CT), Lord and Shulman (L-S) and Green and Lindsay (G-L) are used to study the problem. The frequency equations, connecting the phase velocity with wave number, radius of bore and other material parameters, for empty and liquid filled bore are derived. The numerical results obtained have been illustrated graphically to understand the behaviour of phase velocity and attenuation coefficient versus wave number of a wave. A particular case of interest has also been deduced from the present investigation.

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来源期刊

Computational & Applied Mathematics Mathematics-Computational Mathematics

CiteScore

4.50

自引率

11.50%

发文量

352

审稿时长

>12 weeks

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.