Generalized thermoelastic diffusion in a nanoscale beam using eigenvalue approach

被引：18

作者：

Alzahrani, Faris S. ^{[1
,3
]}

Abbas, Ibrahim A. ^{[2
,3
,4
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia

[2] Univ Jeddah, Fac Sci & Arts Khulais, Dept Math, Jeddah, Saudi Arabia

[3] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah 21589, Saudi Arabia

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

来源：

ACTA MECHANICA | 2016年 / 227卷 / 04期

关键词：

2; RELAXATION-TIMES; REINFORCED ANISOTROPIC MEDIUM; FUNCTIONALLY GRADED CYLINDER; FINITE-ELEMENT-METHOD; STATE-SPACE APPROACH; MICRO-BEAM; HALF-SPACE; MODEL; RESONATORS; THERMODIFFUSION;

D O I：

10.1007/s00707-015-1498-9

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper, the effect of mass diffusion in a thermoelastic nanoscale beam in context Lord and Shulman theory is studied. The analytical solution in the Laplace domain is obtained for lateral deflection, temperature, displacement, concentration, stress and chemical potential. The both ends of the nanoscale beam are simply supported. The basic equations have been written in the form of a vector-matrix differential equation in the Laplace transform domain, which is then solved by an eigenvalue approach. The results obtained are presented graphically for the effect of time and mass diffusion to display the phenomena physical meaning.

引用

页码：955 / 968

页数：14

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