Effect of hydrostatic initial stresses on waves in a thermoelastic solid half-space

被引:53
作者
Singh, Baljeet [1 ]
机构
[1] Govt Coll, Dept Math, Chandigarh 160011, India
关键词
thermoelasticity; relaxation time; hydrostatic initial stress; reflection; energy ratios;
D O I
10.1016/j.amc.2007.08.072
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Reflection from insulated and isothermal stress-free surface of a thermoelastic solid half-space under hydrostatic initial stress is studied. The reflection coeficients as well as energy ratios of reflected waves are obtained for the incidence of P and SV waves. The effect of hydrostatic initial stresses is shown graphically on reflection coefficients and energy ratios. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码:494 / 505
页数:12
相关论文
共 16 条
[1]   On the reflection of the generalized magneto-thermo-viscoelastic plane waves [J].
Abd-alla, AN ;
Yahia, AA ;
Abo-dahab, SM .
CHAOS SOLITONS & FRACTALS, 2003, 16 (02) :211-231
[2]  
BIOT M, 1956, J APPL PHYS, V27, P249
[3]  
DUHAMEL J, 1885, J ECOLE POLYTECHNIQU, V15
[4]  
Green A. E., 1972, Journal of Elasticity, V2, P1, DOI [10.1007/BF00045689, DOI 10.1007/BF00045689]
[5]   A GENERALIZED DYNAMICAL THEORY OF THERMOELASTICITY [J].
LORD, HW ;
SHULMAN, Y .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1967, 15 (05) :299-&
[6]   On singular surfaces in isotropic linear thermoelasticity with initial stress [J].
Montanaro, A .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1999, 106 (03) :1586-1588
[7]  
Neumann F. E., 1885, Vorlesungen uber die Theorie der Elastizitat der festen Korper und des Lichtathers
[8]   Reflection of plane waves from an elastic solid half-space under hydrostatic initial stress without energy dissipation [J].
Othman, Mohamed I. A. ;
Song, Yaqin .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2007, 44 (17) :5651-5664
[9]  
Sharma JN, 2003, J THERM STRESSES, V26, P925, DOI [10.1080/01495730306342, 10.1080/01495730390207253]
[10]   Reflection of plane waves from the flat boundary of a micropolar generalized thermoelastic half-space [J].
Singh, B ;
Kumar, R .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1998, 36 (7-8) :865-890