Homotopy perturbation method on wave propagation in a transversely isotropic thermoelastic two-dimensional plate with gravity field

被引：7

作者：

Abo-Dahab, S. M. ^{[1
,2
]}

Abd-Alla, A. M. ^{[3
]}

Kilany, A. A. ^{[3
]}

机构：

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

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

[3] Sohag Univ, Dept Math, Fac Sci, Sohag 82524, Egypt

来源：

NUMERICAL HEAT TRANSFER PART A-APPLICATIONS | 2022年 / 82卷 / 07期

关键词：

Generalized thermoelasticity; gravity field; homotopy perturbation method; transversely isotropic; PLANE-WAVES; SPACE;

D O I：

10.1080/10407782.2022.2079292

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this article, we researched wave propagation in transversely isotropic thermoelastic two-dimensional plates with gravity field in the case of Green Lindsay (GL) model of generalized thermoelasticity. The technique of homotopy perturbation is applied to get the approximate solution of thermoelastic with boundary condition. Numerical results for the displacement distribution and temperature are represented graphically. The results obtained indicate the impact of the new parameters on the phenomenon.

引用

页码：398 / 410

页数：13

共 41 条

[11] THERMOELASTICITY AND IRREVERSIBLE THERMODYNAMICS
BIOT, MA
[J]. JOURNAL OF APPLIED PHYSICS, 1956, 27 (03) : 240 - 253
[12] Mathematical model on a photothermal and voids in a semiconductor medium in the context of Lord-Shulman theory
Bouslimi, Jamel
Omri, M.
Kilany, A. A.
Abo-Dahab, S. M.
Hatem, A.
[J]. WAVES IN RANDOM AND COMPLEX MEDIA, 2021, : 5594 - 5611
[13] A GENERALIZED LINEAR THERMOELASTICITY THEORY FOR PIEZOELECTRIC MEDIA
CHANDRASEKHARAIAH, DS
[J]. ACTA MECHANICA, 1988, 71 (1-4) : 39 - 49
[14] DISPERSION AND ENERGY-DISSIPATION OF THERMOELASTIC WAVES IN A PLATE
DAIMARUYA, M
NAITOH, M
[J]. JOURNAL OF SOUND AND VIBRATION, 1987, 117 (03) : 511 - 518
[15] EFFECT OF BOUNDARIES ON WAVES IN A THERMOELASTIC SOLID
DERESIEWICZ, H
[J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1962, 10 (02) : 179 - 181
[16] Dhaliwal R.S., 1980, DYNAMIC COUPLED THER, V726
[17] Ezzat MA, 2001, J THERM STRESSES, V24, P411, DOI 10.1080/01495730151126078
[18] ON UNDAMPED HEAT WAVES IN AN ELASTIC SOLID
GREEN, AE
NAGHDI, PM
[J]. JOURNAL OF THERMAL STRESSES, 1992, 15 (02) : 253 - 264
[19] Green AE., 1972, J Elasticity, V2, P1, DOI [DOI 10.1007/BF00045689, 10.1007/BF00045689, DOI 10.1093/QJMAM/25.1.1]
[20] Approximate solution of nonlinear differential equations with convolution product nonlinearities
He, JH
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 167 (1-2) : 69 - 73

← 1 2 3 4 5 →