On wave propagation in a random micropolar generalized thermoelastic medium

被引：2

作者：

Mitra M. ^{[1
]}

Bhattacharyya R.K. ^{[2
]}

机构：

[1] Department of Mathematics, Presidency College, Kolkata

[2] Department of Applied Mathematics, Calcutta University, Kolkata

来源：

Bhattacharyya, Rabindra Kumar (rabindrakb@yahoo.com) | 1600年 / Polska Akademia Nauk卷 / 38期

关键词：

Micropolar; Propagation; Random; Thermoelastic; Waves;

D O I：

10.1515/aoter-2017-0009

中图分类号：

学科分类号：

摘要：

This paper endeavours to study aspects of wave propagation in a random generalized-thermal micropolar elastic medium. The smooth perturbation technique conformable to stochastic differential equations has been employed. Six different types of waves propagate in the random medium. The dispersion equations have been derived. The effects due to random variations of micropolar elastic and generalized thermal parameters have been computed. Randomness causes change of phase speed and attenuation of waves. Attenuation coefficients for high frequency waves have been computed. Second moment properties have been briefly discussed with application to wave propagation in the random micropolar elastic medium. Integrals involving correlation functions have been transformed to radial forms. A special type of generalized thermo-mechanical auto-correlation functions has been used to approximately compute effects of random variations of parameters. Uncoupled problem has been briefly outlined. © Polish Academy of Sciences 2017.

引用

页码：21 / 60

页数：39

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