Study on the Effect of Relaxation Time and Mode-I Crack on the Wave through the Magneto-Thermoelasticity Medium with Two Temperatures

被引：5

作者：

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

Lotfy, K. ^{[2
]}

Gabr, M. E. ^{[2
,3
]}

Aiyashi, M. A. ^{[4
]}

Albalwi, M. D. ^{[5
]}

Jahangir, A. ^{[6
]}

机构：

[1] South Valley Univ, Fac Sci, Dept Math, Qena 83523, Egypt

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

[3] Higher Future Inst Specialized Technol Studies, Cairo, Egypt

[4] Jazan Univ, Fac Sci, Dept Math, Jazan 45142, Saudi Arabia

[5] Yanbu Ind Coll, Royal Commiss Jubail & Yanbu, Yanbu Al Sinaiyah 30436, Saudi Arabia

[6] COMSATS Univ Islamabad, Dept Math, Wah Campus, Rawalpindi, Pakistan

来源：

MECHANICS OF SOLIDS | 2023年 / 58卷 / 05期

关键词：

generalized thermoelasticity; mode-I crack; two temperature; magnetic field; STATE-SPACE APPROACH; GENERALIZED THERMOELASTICITY; PLANE-WAVES; ENERGY-DISSIPATION; HALF-SPACE; PULSE;

D O I：

10.3103/S0025654423600708

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The article aims to depict the influence of one relaxation time on elastic and thermal waves propagating through an isotropic medium. The medium is half-space and homogenous in nature. The thermal properties of the particles are influenced by thermodynamic and conducive temperature. Along with all these conditions we have also considered the medium to be under the impact of an primarily functional magnetic field with uniform intensity. Firstly, we developed the theory of generalized surface waves and employed it to investigate some cases of wave propagation. Secondly, in the physical domain, the harmonic vibrations of a half-space are used to obtain expressions for field variables involved in the mathematical model. The surface of the medium is under the constraint of Mode-I crack. A numerical application is presented for a particular material to illustrate the study graphically.

引用

页码：1848 / 1864

页数：17

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