Reflection and refraction of plane waves at the interface of an elastic solid and microstretch thermoelastic solid with microtemperatures

被引:26
作者
Kumar, Rajneesh [1 ]
Kaur, Mandeep [2 ]
机构
[1] Kurukshetra Univ, Dept Math, Kurukshetra 136119, Haryana, India
[2] Guru Nanak Dev Engn Coll, Dept Appl Sci, Ludhiana 141008, Punjab, India
关键词
Elastic solid; Microstretch; Microtemperatures; Reflection and refraction; Amplitude ratios; LINEAR-THEORY; FREE-SURFACE; PROPAGATION; THEOREMS; BODIES; TIME;
D O I
10.1007/s00419-014-0818-1
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The problem of reflection and refraction of waves at the interface of an elastic solid and microstretch thermoelastic solid with microtemperatures has been investigated. It is shown that due to incidence of P-wave or SV-wave at the interface, the waves are reflected and refracted. The amplitude ratios of these various reflected and refracted waves have been computed numerically, and graphical representation of their variations is made with the angle of incidence. Effect of microrotation on these amplitude ratios has been shown graphically. Some particular cases of interest have also been discussed.
引用
收藏
页码:571 / 590
页数:20
相关论文
共 47 条
[1]   Plane Waves in Generalized Thermo-microstretch Elastic Solid with Thermal Relaxation Using Finite Element Method [J].
Abbas, Ibrahim A. ;
Othman, Mohamed I. A. .
INTERNATIONAL JOURNAL OF THERMOPHYSICS, 2012, 33 (12) :2407-2423
[2]  
Anisma MustafaInan., 1971, Ari Kitapevi Matbaasi, P1
[3]   Some theorems in the isotropic theory of microstretch thermoelasticity with microtemperatures [J].
Aouadi, Moncef .
JOURNAL OF THERMAL STRESSES, 2008, 31 (07) :649-662
[4]   REFLECTION REFRACTION OF GENERAL P-WAVES AND TYPE-I S-WAVES IN ELASTIC AND ANELASTIC SOLIDS [J].
BORCHERDT, RD .
GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1982, 70 (03) :621-638
[5]  
Bullen K., 1963, An Introduction of the Theory of Seismology
[6]   Exponential stability in thermoelasticity with microtemperatures [J].
Casas, PS ;
Quintanilla, R .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2005, 43 (1-2) :33-47
[7]   On the theory of thermoelasticity with microtemperatures [J].
Chirita, Stan ;
Ciarletta, Michele ;
D'Apice, Ciro .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 397 (01) :349-361
[8]   Some results in linear theory of thermomicrostretch elastic solids [J].
Ciarletta, M ;
Scalia, A .
MECCANICA, 2004, 39 (03) :191-206
[9]  
Dhaliwal R.S., 1980, Dynamic coupled thermoelasticity
[10]  
Eringen A.C., 1978, LIQUID CRYSTALS ORDE, P443, DOI [10.1007/978-1-4615-8888-7_30, DOI 10.1007/978-1-4615-8888-7_30]