Thermoelastic plane waves without energy dissipation in a rotating body

1997 ◽  
Vol 24 (5) ◽  
pp. 551-560 ◽  
Author(s):  
D.S. Chandrasekharaiah ◽  
K.S. Srinath
Keyword(s):  
Energy Dissipation ◽  
Plane Waves ◽  
Rotating Body ◽  
Without Energy Dissipation

scholarly journals Effect of Two Temperatures on Reflection Coefficient in Micropolar Thermoelastic with and without Energy Dissipation Media

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Rajneesh Kumar ◽  
K. D. Sharma ◽  
S. K. Garg
Keyword(s):  
Energy Dissipation ◽  
Temperature Effects ◽  
Plane Waves ◽  
Angle Of Incidence ◽  
Amplitude Ratios ◽  
Reflected Waves ◽  
Two Temperatures ◽  
Thermally Conducting ◽  
Without Energy Dissipation ◽  
Two Temperature

The reflection of plane waves at the free surface of thermally conducting micropolar elastic medium with two temperatures is studied. The theory of thermoelasticity with and without energy dissipation is used to investigate the problem. The expressions for amplitudes ratios of reflected waves at different angles of incident wave are obtained. Dissipation of energy and two-temperature effects on these amplitude ratios with angle of incidence are depicted graphically. Some special and particular cases are also deduced.

scholarly journals On Discontinuties in Thermoelastic Plane Waves without Energy Dissipation Due to a Thermo-Mechanical Shock

2013 ◽  
Vol 18 (2) ◽  
pp. 503-519
Author(s):  
N. Sarkar ◽  
A. Lahiri
Keyword(s):  
Energy Dissipation ◽  
Plane Waves ◽  
Generalized Thermoelasticity ◽  
Present Theory ◽  
Mechanical Shock ◽  
Field Equations ◽  
Characteristic Features ◽  
Thermoelastic Solid ◽  
Matrix Differential ◽  
Without Energy Dissipation

The present paper deals with the thermoelastic plane waves due to a thermo-mechanical shock in the form of pulse at the boundary of a homogeneous, isotropic thermoelastic half-space. The field equations of the Green- Naugdhi theory without energy dissipation for an thermoelastic solid in the generalized thermoelasticity theory are written in the form of a vector-matrix differential equation using Laplace transform techniques and then solved by an eigenvalue approach. Exact expressions for the considered field variables are obtained and presented graphically for copper-like material. The characteristic features of the present theory are analyzed by comparing these solutions with their counterparts in other generalized thcrmoelasticity theories.

scholarly journals Reflection coefficients and energy ratios in a micropolar thermoelastic medium without energy dissipation

2007 ◽  
Vol 48 (3) ◽  
pp. 433-447 ◽  
Author(s):  
Baljeet Singh
Keyword(s):  
Energy Dissipation ◽  
Thermal Effects ◽  
Plane Waves ◽  
Reflection Coefficients ◽  
Angle Of Incidence ◽  
Dimensional Model ◽  
Governing Equations ◽  
Thermoelastic Medium ◽  
Energy Ratios ◽  
Without Energy Dissipation

AbstractThe linear governing equations of a micropolar thermoelastic medium without energy dissipation are solved to show the existence of four plane waves in a two-dimensional model. The expressions for velocities of these plane waves are obtained. The boundary conditions at the free surface are used to obtain a system of four nonhomogeneous equations. These equations are solved numerically for a particular model to obtain reflection coefficients for the incidence of coupled longitudinal displacement and coupled transverse microrotational waves. These reflection coefficients as well as the energy ratios are computed and are shown graphically with the angle of incidence in the presence and absence of thermal effects.

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