A problem of thick circular plate in modified couple stress theory of thermoelastic diffusion

被引：4
|
作者：
Kumar, Rajneesh [1 ]
Devi, Shaloo [2 ]
机构：
[1] Kurukshetra Univ Kurukshetra, Dept Math, Kurukshetra, Haryana, India
[2] Himachal Pradesh Univ Shimla, Dept Math & Stat, Shimla, India
来源：
COGENT MATHEMATICS | 2016年 / 3卷
关键词：
modified couple stress theory; thermoelastic diffusion; thermal and chemical potential sources; Laplace and Hankel transforms;
D O I：
10.1080/23311835.2016.1217969
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The present investigation deals with an axisymmetric problem of thick circular plate in modified couple stress theory with mass diffusion. The Laplace and Hankel transforms technique have been used to investigate the problem. The displacements, stress components, temperature change, and chemical potential are obtained in the transformed domain subjected to thermal and chemical potential sources. Resulting quantities are obtained in the physical domain using a numerical inversion technique and depicted graphically. Comparisons are made with and without couple stress for both the Lord-Shulman (1967) and Green-Lindsay (1972) theories of thermoelasticity. Some particular cases of interest are also deduced.
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页数：14
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