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

共 50 条

[41] ASYMPTOTICALLY EXACT SOLUTION OF THE ONE-DIMENSIONAL TRAPPING PROBLEM WITH CORRELATION
PRASAD, MA
UNNIKRISHNAN, K
PHYSICAL REVIEW A, 1985, 31 (01): : 523 - 524
[42] YET ANOTHER SOLUTION OF THE ONE-DIMENSIONAL MAGNETOTELLURIC INVERSE PROBLEM
HOBBS, BA
GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1981, 65 (01): : 257 - 257
[43] One-dimensional, ocean surface layer modeling: A problem and a solution
Mellor, GL
JOURNAL OF PHYSICAL OCEANOGRAPHY, 2001, 31 (03) : 790 - 809
[44] An approximate solution algorithm for the one-dimensional online median problem
Shenmaier V.V.
Journal of Applied and Industrial Mathematics, 2008, 2 (3) : 421 - 425
[45] Numerical solution to the one-dimensional inverse problem for an elastic system
Karchevsky, AL
DOKLADY EARTH SCIENCES, 2000, 375 (08) : 1325 - 1328
[46] USE OF LAPLACE TRANSFORM METHOD TO SOLVE ONE-DIMENSIONAL PERIODIC-POTENTIAL PROBLEM
SANTANA, PHA
ROSATO, A
AMERICAN JOURNAL OF PHYSICS, 1973, 41 (10) : 1138 - 1144
[47] A bifurcation problem for a one-dimensional p-Laplace elliptic problem with non-odd absorption
Luna, T. L. M.
Carvalho, A. N.
JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 373 : 446 - 475
[48] Application of inverse solution in two dimensional heat conduction problem using laplace transformation
Monde, Masanori
Hammad, Jaffar A.
Arima, Hirofumi
Mitutake, Yuhichi
Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B, 2002, 68 (674): : 2811 - 2817
[49] Cell size sensinga one-dimensional solution for a three-dimensional problem?
Rishal, Ida
Fainzilber, Mike
BMC BIOLOGY, 2019, 17 (1)
[50] Cell size sensing—a one-dimensional solution for a three-dimensional problem?
Ida Rishal
Mike Fainzilber
BMC Biology, 17

← 1 2 3 4 5 →