Abstract
The aim of the present paper is to study the propagation of Lamb waves in micropolar generalized thermoelastic solids with two temperatures bordered with layers or half-spaces of inviscid liquid subjected to stress-free boundary conditions in the context of Green and Lindsay (G-L) theory. The secular equations for governing the symmetric and skew-symmetric leaky and nonleaky Lamb wave modes of propagation are derived. The computer simulated results with respect to phase velocity, attenuation coefficient, amplitudes of dilatation, microrotation vector and heat flux in case of symmetric and skew-symmetric modes have been depicted graphically. Moreover, some particular cases of interest have also been discussed.
Highlights
Eringen (1966) developed the theory of micropolar elasticity which has aroused much interest in recent years because of its possible usefulness in investigating the deformation properties of solids for which the classical theory is inadequate
Wave number and phase velocity of the waves are complex quantities, the waves are attenuated in space
To 9, GLS and GNLS refer to leaky and nonleaky symmetric waves in micropolar thermoelastic solid with two temperatures, GLSK and GNLSK refer to leaky and nonleaky skewsymmetric waves in micropolar thermoelastic solid with two temperatures, GALS and GANLS refer to leaky and nonleaky symmetric waves in micropolar thermoelastic solid, GALSK and GANLSK refer to leaky and nonleaky skew-symmetric waves in micropolar thermoelastic solid
Summary
Eringen (1966) developed the theory of micropolar elasticity which has aroused much interest in recent years because of its possible usefulness in investigating the deformation properties of solids for which the classical theory is inadequate. There are at least two different generalizations related to the classical theory of thermoelasticity. The first one given by Lord and Shulman (1967) admits only one relaxation time and the second one given by Green and Lindsay (1972) involves two relaxation times. The linear theory of micropolar thermoelasticity has been developed by extending the theory of micropolar continua. Eringen (1970, 1999) and Nowacki (1986) have given detailed reviews on the subject. Boschi and Iesan (1973) extended the generalized theory of micropolar thermoelasticity which allows the transmission of heat as thermal waves of finite speed.
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