Reflection of plane waves in an orthotropic micropolar thermoelastic diffusive medium with two-temperature

被引:0
作者
Punia, Baljit Singh [1 ]
Deswal, Sunita [2 ]
Kalkal, Kapil Kumar [2 ]
Othman, Mohamed I. A. [3 ]
机构
[1] Govt Coll Barwala, Dept Math, Hisar 125001, Haryana, India
[2] Guru Jambheshwar Univ Sci & Technol, Dept Math, Hisar 125001, Haryana, India
[3] Zagazig Univ, Fac Sci, Dept Math, Zagazig 44519, Egypt
关键词
Reflection phenomenon; Orthotropic material; Micropolar; Diffusion; Two temperature; COUPLE-STRESSES; THERMODIFFUSION; SPACE;
D O I
10.1007/s12648-023-02826-5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The present research is concerned with the reflection phenomenon of plane waves in an orthotropic micropolar thermoelastic medium with diffusion and two-temperature. The governing equations of the present investigation are formulated in the context of dual-phase lag theory. The plane wave solutions of the governing equations imply the emergence of five plane waves, namely quasi longitudinal displacement wave, quasi thermal wave, quasi mass diffusion wave, quasi transverse micro-rotational wave and quasi transverse displacement wave. Using the relevant boundary conditions, the amplitude ratios and energy ratios for various reflected waves are calculated. The phase speeds, reflection coefficients and energy ratios are computed numerically with the help of MATLAB programming and are depicted graphically to show the effect of diffusion parameter and anisotropy. It is found that there is no dissipation of energy at the boundary surface during reflection. On the other hand, some attempts have also been made to explore the three-dimensional responses of the thermoelastic medium. Some particular cases of interest have been inferred from the present problem.
引用
收藏
页码:613 / 628
页数:16
相关论文
共 43 条
[1]   An Eigenvalues Approach for a Two-Dimensional Porous Medium Based Upon Weak, Normal and Strong Thermal Conductivities [J].
Alzahrani, Faris ;
Hobiny, Aatef ;
Abbas, Ibrahim ;
Marin, Marin .
SYMMETRY-BASEL, 2020, 12 (05)
[2]  
[Anonymous], 1973, Wave Propagation in Elastic Solids
[3]  
[Anonymous], 1970, A C ERINGEN FDN MICR, V23
[4]  
C A, 1999, A C ERINGEN MICROCON
[5]   A NOTE ON NON-SIMPLE HEAT CONDUCTION [J].
CHEN, PJ ;
GURTIN, ME ;
WILLIAMS, WO .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1968, 19 (06) :969-&
[6]   ON THERMODYNAMICS OF NON-SIMPLE ELASTIC MATERIALS WITH 2 TEMPERATURES [J].
CHEN, PJ ;
GURTIN, ME ;
WILLIAMS, WO .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1969, 20 (01) :107-&
[7]   ON A THEORY OF HEAT CONDUCTION INVOLVING 2 TEMPERATURES [J].
CHEN, PJ .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1968, 19 (04) :614-&
[8]   Three-dimensional half-space problem within the framework of two-temperature thermo-viscoelasticity with three-phase-lag effects [J].
Deswal, Sunita ;
Kalkal, Kapil Kumar .
APPLIED MATHEMATICAL MODELLING, 2015, 39 (23-24) :7093-7112
[9]   A two-dimensional generalized electro-magneto-thermoviscoelastic problem for a half-space with diffusion [J].
Deswal, Sunita ;
Kalkal, Kapil .
INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2011, 50 (05) :749-759
[10]   On the dual-phase-lag thermoelasticity theory [J].
El-Karamany, Ahmed S. ;
Ezzat, Magdy A. .
MECCANICA, 2014, 49 (01) :79-89