Wave Propagation in a Rotating Transversely Isotropic Two-Temperature Generalized Thermoelastic Medium Without Dissipation

被引:6
作者
Singh, Baljeet [1 ]
机构
[1] Post Grad Govt Coll, Dept Math, Sect 11, Chandigarh, India
关键词
Anisotropy; Plane waves; Reflection; Reflection coefficients; Rotation; Two-temperature generalized thermoelasticity; ENERGY-DISSIPATION; PLANE-WAVES;
D O I
10.1007/s10765-015-2015-z
中图分类号
O414.1 [热力学];
学科分类号
摘要
The present paper is concerned with the propagation of plane waves in a rotating, transversely isotropic, two-temperature generalized thermoelastic solid half-space without energy dissipation. The governing equations are solved to show the existence of three plane waves in the x-z plane. The reflection of these plane waves from a thermally insulated free surface is also studied to obtain a system of three non-homogeneous equations in reflection coefficients of the reflected waves. The speeds and reflection coefficients are computed for a particular model of the half-space. The speeds and reflection coefficients of plane waves are shown graphically to observe the effects of anisotropy, two temperatures and rotation.
引用
收藏
页码:1 / 13
页数:13
相关论文
共 18 条
[1]   Thermoelastic plane waves in a rotating isotropic medium [J].
Ahmad, F ;
Khan, A .
ACTA MECHANICA, 1999, 136 (3-4) :243-247
[2]   Effect of rotation on wave propagation in a transversely isotropic medium [J].
Ahmad, F ;
Khan, A .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2001, 7 (02) :147-154
[3]  
Boley B.A., 1962, Journal of Applied Mechanics, V29, P637
[4]   WAVE PROPAGATION IN A TRANSVERSELY ISOTROPIC HEAT-CONDUCTING ELASTIC MATERIAL [J].
CHADWICK, P ;
SEET, LTC .
MATHEMATIKA, 1970, 17 (34) :255-&
[5]   THERMOELASTIC PLANE-WAVES IN A ROTATING SOLID [J].
CHANDRASEKHARAIAH, DS ;
SRIKANTIAH, KR .
ACTA MECHANICA, 1984, 50 (3-4) :211-219
[6]   Thermoelastic plane waves without energy dissipation in a rotating body [J].
Chandrasekharaiah, DS ;
Srinath, KS .
MECHANICS RESEARCH COMMUNICATIONS, 1997, 24 (05) :551-560
[7]   A NOTE ON NON-SIMPLE HEAT CONDUCTION [J].
CHEN, PJ ;
GURTIN, ME ;
WILLIAMS, WO .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1968, 19 (06) :969-&
[8]   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-&
[9]   ON A THEORY OF HEAT CONDUCTION INVOLVING 2 TEMPERATURES [J].
CHEN, PJ .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1968, 19 (04) :614-&
[10]   THERMOELASTICITY WITHOUT ENERGY-DISSIPATION [J].
GREEN, AE ;
NAGHDI, PM .
JOURNAL OF ELASTICITY, 1993, 31 (03) :189-208