Effect of magnetic field and voids on Rayleigh waves in a nonlocal thermoelastic half-space

被引：16

作者：

Abd-Alla, A. M. ^{[1
]}

Abo-Dahab, S. M. ^{[2
,3
]}

Ahmed, S. M. ^{[4
]}

Rashid, M. M. ^{[1
]}

机构：

[1] Sohag Univ, Fac Sci, Dept Math, Sohag, Egypt

[2] South Valley Univ, Fac Sci, Dept Math, Qena, Egypt

[3] Luxor Univ, Fac Comp & Informat, Dept Comp Sci, Luxor, Egypt

[4] Arish Univ, Fac Sci, Math Dept, Arish, Egypt

来源：

JOURNAL OF STRAIN ANALYSIS FOR ENGINEERING DESIGN | 2022年 / 57卷 / 01期

关键词：

Generalized thermoelasticity; Rayleigh wave; wave speed; nonlocality; voids; magnetic field; PLANE-WAVES; PROPAGATION; ELASTICITY; DIFFUSION; THEOREMS; GRAVITY;

D O I：

10.1177/03093247211001243

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This work is concerned with the propagation of surface waves is considered in an isotropic elastic homogeneous nonlocal generalized thermoelastic solid medium in the presence of a magnetic field and voids. The normal mode analysis and Lame's potential theory are used to solve the resulting non-dimensional coupled equations. Dispersion relation for Rayleigh surface wave are derived for both thermally insulated and isothermal surfaces. The non-dimensional wave speed of Rayleigh surface wave is computed for a specific material. The non-dimensional wave speed of Rayleigh surface waves are found to be influenced by the presence of voids, magnetic field, thermal field, and elastic nonlocal parameter. For a particular model, the effect of magnetic field, void parameters, thermal parameter, and nonlocality has been studied numerically on the Rayleigh surface waves. All the computed results obtained have been depicted graphically and explained.

引用

页码：61 / 72

页数：12

共 38 条

[1] Propagation of a thermoelastic wave in a half-space of a homogeneous isotropic material subjected to the effect of gravity field [J].