Reflection of coupled dilatational and shear waves in the generalized micropolar thermoelastic materials

被引:13
作者
Lianngenga, Rengsi [1 ]
Singh, Sanasam S. [1 ]
机构
[1] Mizoram Univ, Dept Math & Comp Sci, Aizawl 796004, Mizoram, India
关键词
Micropolar materials; generalized thermoelasticity; dilatational wave; shear waves; amplitude ratio; energy ratio; PLANE-WAVES; FLAT BOUNDARY; INTERFACE; PROPAGATION; REFRACTION; LIQUID; SV;
D O I
10.1177/1077546320908705
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The problem of wave propagation in the generalized theory of micropolar thermoelasticity under the Green-Lindsay model has been investigated. We have investigated the reflected dilatational and shear waves due to incident waves at a plane-free surface of generalized micropolar thermoelastic materials. The amplitude and energy ratios corresponding to the reflected coupled dilatational and coupled shear waves are derived using boundary conditions at the free surface. These ratios are also computed numerically for a particular model. Note that there are critical angles for the incident shear wave.
引用
收藏
页码:1948 / 1955
页数:8
相关论文
共 38 条
[1]  
Achenbach JD., 1976, WAVE PROPAGATION ELA
[2]   Theory of Generalized Micropolar Thermoelastic Diffusion Under Lord-Shulman Model [J].
Aouadi, Moncef .
JOURNAL OF THERMAL STRESSES, 2009, 32 (09) :923-942
[3]   WAVE-PROPAGATION IN A MICROPOLAR ELASTIC HALF-SPACE [J].
ARIMAN, T .
ACTA MECHANICA, 1972, 13 (1-2) :11-&
[4]  
Boschi E., 1973, Meccanica, V8, P154, DOI 10.1007/BF02128724
[5]   Reflection of plane waves by the free boundary of a porous elastic half-space [J].
Ciarletta, M ;
Sumbatyan, MA .
JOURNAL OF SOUND AND VIBRATION, 2003, 259 (02) :253-264
[6]  
Codarcea-Munteanu L, 2019, STUD SYST DECIS CONT, V179, P133, DOI 10.1007/978-3-030-00084-4_7
[7]  
Cosserat E, 1909, Theorie des corps deformables.
[8]   Reflection of generalized thermoelastic waves from isothermal and insulated boundaries of a half space [J].
Das, N. C. ;
Lahiri, A. ;
Sarkar, S. ;
Basu, S. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (11) :2795-2805
[9]  
Eringen A.C., 1964, Int. J. Eng. Sci, V2, P189, DOI [10.1016/0020-7225(64)90017-5, DOI 10.1016/0020-7225(64)90017-5]
[10]  
Eringen A.C., 1964, INT J ENG SCI, V2, P189, DOI [DOI 10.1016/0020-7225(64)90004-7, 10.1016/0020-7225(64)90004-7]