Effect of phase-lags on Rayleigh wave propagation in initially stressed magneto-thermoelastic orthotropic medium

被引：38
作者：
Biswas, Siddhartha [1 ,2 ]
Abo-Dahab, S. M. [3 ,4 ]
机构：
[1] Indian Inst Engn Sci & Technol, Dept Math, Sibpur, India
[2] Univ North Bengal, Dept Math, Darjeeling 734013, India
[3] Taif Univ, Dept Math, Fac Sci, At Taif, Saudi Arabia
[4] South Valley Univ, Dept Math, Fac Sci, Qena, Egypt
来源：
APPLIED MATHEMATICAL MODELLING | 2018年 / 59卷
关键词：
Rayleigh waves; Magnetic field; Initial stress; Orthotropic medium; Three-phase-lag model; Path of surface particles; HALF-SPACE; 3-PHASE-LAG MODEL; SURFACE-WAVES; THERMOELASTICITY;
D O I：
10.1016/j.apm.2018.02.025
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The present article deals with Rayleigh surface wave propagation in homogeneous magneto-thermoelastic orthotropic medium. Effect of initial stress and magnetic field on Rayleigh waves is studied in the context of three-phase-lag model of generalized thermoelasticity. The normal mode analysis is used to obtain the exact expressions for the displacement components, stresses and temperature distribution. Various frequency equations are derived and compared with the existing literature. The path of surface particles is elliptical during Rayleigh wave propagation. Effect of phase-lags on Rayleigh wave velocity, attenuation coefficient and specific loss are presented graphically. It is observed from graphical presentation that the effect of magnetic field and initial stress on different wave characteristics is pronounced. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：713 / 727
页数：15
相关论文
共 30 条
[1]   Propagation of Rayleigh waves in generalized magneto-thermoelastic orthotropic material under initial stress and gravity field [J].
Abd-Alla, A. M. ;
Abo-Dahab, S. M. ;
Hammad, H. A. H. .
APPLIED MATHEMATICAL MODELLING, 2011, 35 (06) :2981-3000
[2]  
AbdAlla AM, 1997, EARTH MOON PLANETS, V75, P185
[3]   Effect of rotation on Rayleigh waves in magneto-thermoelastic transversely isotropic medium with thermal relaxation times [J].
Abo-Dahab, S. M. ;
Biswas, Siddhartha .
JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 2017, 31 (15) :1485-1507
[4]  
[Anonymous], 1963, Stress Waves in Solids
[5]   Eigenfunction expansion method to analyze thermal shock behavior in magneto-thermoelastic orthotropic medium under three theories [J].
Biswas, Siddhartha ;
Mukhopadhyay, Basudeb .
JOURNAL OF THERMAL STRESSES, 2018, 41 (03) :366-382
[6]   Rayleigh surface wave propagation in orthotropic thermoelastic solids under three-phase-lag model [J].
Biswas, Siddhartha ;
Mukhopadhyay, Basudeb ;
Shaw, Soumen .
JOURNAL OF THERMAL STRESSES, 2017, 40 (04) :403-419
[7]  
CATTANEO C, 1958, CR HEBD ACAD SCI, V247, P431
[8]   On the wave propagation in the time differential dual-phase-lag thermoelastic model [J].
Chirita, Stan ;
Ciarletta, Michele ;
Tibullo, Vincenzo .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2015, 471 (2183)
[9]   On the Rayleigh surface waves on an anisotropic homogeneous thermoelastic half space [J].
Chirita, Stan .
ACTA MECHANICA, 2013, 224 (03) :657-674
[10]   On a thermoelastic three-phase-lag model [J].
Choudhuri, S. K. Roy .
JOURNAL OF THERMAL STRESSES, 2007, 30 (03) :231-238
123