Eigenfunction expansion method to characterize Rayleigh wave propagation in orthotropic medium with phase lags

被引：23
作者：
Biswas, Siddhartha [1 ,2 ]
Mukhopadhyay, Basudeb [2 ]
机构：
[1] Univ North Bengal, Dept Math, Darjeeling, India
[2] Indian Inst Engn Sci & Technol, Dept Math, Sibpur, India
来源：
WAVES IN RANDOM AND COMPLEX MEDIA | 2019年 / 29卷 / 04期
关键词：
SURFACE-WAVES; ELASTIC-MATERIALS; INITIAL STRESS; HALF-SPACE; EQUATIONS; ROTATION; PLANE;
D O I：
10.1080/17455030.2018.1470355
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The present paper deals with the propagation of Rayleigh surface waves in homogeneous, orthotropic thermoelastic half space in the context of three-phase lag model of thermoelasticity. A vector matrix differential equation is formed by employing normal mode analysis to the considered equations which is then solved by eigenfunction expansion method. The frequency equations for different cases are derived and the path of surface particles during Rayleigh wave propagation is found elliptical. Effect of phase lags on phase velocity, attenuation coefficient, and specific loss are presented graphically with respect to frequency as well as wave number.
引用
收藏
页码：722 / 742
页数：21
相关论文
共 42 条
[1]   Propagation of Rayleigh waves in magneto-thermo-elastic half-space of a homogeneous orthotropic material under the effect of rotation, initial stress and gravity field [J].
Abd-Alla, A. M. ;
Abo-Dahab, S. M. ;
Bayones, F. S. .
JOURNAL OF VIBRATION AND CONTROL, 2013, 19 (09) :1395-1420
[2]   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
[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]   Rayleigh waves in a thermoelastic solid half space using dual-phase-lag model [J].
Abouelregal, Ahmed E. .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2011, 49 (08) :781-791
[5]   Effect of phase-lags on Rayleigh wave propagation in initially stressed magneto-thermoelastic orthotropic medium [J].
Biswas, Siddhartha ;
Abo-Dahab, S. M. .
APPLIED MATHEMATICAL MODELLING, 2018, 59 :713-727
[6]   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
[7]   Stroh analysis of Rayleigh waves in anisotropic thermoelastic medium [J].
Biswas, Siddhartha .
JOURNAL OF THERMAL STRESSES, 2018, 41 (05) :627-644
[8]   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
[9]   On dispersion relations of Rayleigh waves in a functionally graded piezoelectric material (FGPM) half-space [J].
Cao, Xiaoshan ;
Jin, Feng ;
Wang, Zikun .
ACTA MECHANICA, 2008, 200 (3-4) :247-261
[10]   Rayleigh surface wave in a piezoelectric wafer with subsurface damage [J].
Cao, Xiaoshan ;
Jin, Feng ;
Jeon, Insu .
APPLIED PHYSICS LETTERS, 2009, 95 (26)
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