One-dimensional Solution of Hygrothermoelastic Rod Problem by Laplace Transformation

被引：0

作者：

Ailawalia, Praveen ^{[1
]}

Elshazly, Ibrahim S. ^{[2
]}

Halouani, Borhen ^{[3
]}

Tyagi, Harshit ^{[4
]}

Elidy, E. S. ^{[5
]}

Lotfy, Khaled ^{[5
]}

机构：

[1] Chandigarh Univ, Univ Inst Sci, Dept Math, Mohali, Punjab, India

[2] King Saud Univ, Dept Basic Sci, Common Year 1, Riyadh 11451, Saudi Arabia

[3] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

[4] Punjab Engn Coll, Dept Civil Engn, Chandigarh, India

[5] Zagazig Univ, Fac Sci, Dept Math, Zagazig, Egypt

来源：

MECHANICS OF SOLIDS | 2024年 / 59卷 / 08期

关键词：

one-dimensional; heat source; temperature distribution; hygrothermoelastic rod; moisture concentration; DYNAMIC-RESPONSE; TEMPERATURE; MOISTURE;

D O I：

10.1134/S0025654424606268

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A thermal shock problem in a hygrothermoelastic rod of length l is solved by the Laplace transformation technique. One end of the rod is subjected to a sudden heat source. The governing equations of the medium are transformed using Laplace transformation and the analytical expressions of displacement, moisture concentration, temperature distribution, and stresses are obtained. These transformed components are then inverted by the numerical inversion method and are presented graphically for different periods. The effect of moisture concentration is also shown through the graphical representations.

引用

页码：4114 / 4128

页数：15

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