Plane waves in generalized thermoelasticity

Puri, P.

doi:10.1016/0020-7225(73)90003-7

Cited by 76 publications

(33 citation statements)

References 6 publications

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“…Widespread efforts have been made on understanding the propagation of plane harmonic thermoelastic waves in infinite elastic medium based on generalized theories of thermoelasticity. In this connection it is relevant to mention the works of [3][4][5][6][7][8][9]. Attempts are also being made to study the propagation of plane 754 A. BAKSI AND R. K. BERA thermoelastic waves in an infinite elastic medium rotating with angular velocity.…”

Section: Introductionmentioning

confidence: 99%

Relaxation Effects on Plane Wave Propagation in a Rotating Magneto-Thermo-Viscoelastic Medium

Baksi¹,

Bera²

2006

Journal of Thermal Stresses

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The present work aims at investing the propagation of plane magneto-thermoviscoelastic waves in a homogeneous viscoelastic medium, which is rotating with a uniform angular velocity. Both the coupled dynamical thermoelasticity theory and the generalized thermoelasticity theory are applied to obtain the analytical solution for the phase velocities and the decay coefficients of the plane wave. The numerical values of the phase velocities and the decay coefficients are also computed for a suitable material and the results are presented in graphs. The effects of rotation and the thermal relaxation parameters on phase velocities and decay coefficients are discussed in details for both high and low frequency wave modes.

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Section: Introductionmentioning

confidence: 99%

Relaxation Effects on Plane Wave Propagation in a Rotating Magneto-Thermo-Viscoelastic Medium

Baksi¹,

Bera²

2006

Journal of Thermal Stresses

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“…Another generalization (called GL theory) with an additional relaxation time to represent the effect of time rate of temperature change on elastic disturbance came from Green & Lindsay (1972). From Puri (1973) to Sharma et al (2003), a large number of problems has been studied on the propagation of plane waves in generalized thermoelastic media. In the intervening years, the linear theories of generalized thermoelasticity have been modified to avoid energy-dissipation (Green & Naghadi 1993).…”

Section: Introductionmentioning

confidence: 99%

Acoustic reflection from the boundary of anisotropic thermoviscoelastic solid with fluid

Sharma

2009

Sadhana

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Vertical slownesses of waves at a boundary of an anisotropic thermoviscoelastic medium are calculated as roots of a polynomial equation of degree eight. Out of the corresponding eight waves, the four, which travel towards the boundary are identified as upgoing waves. Remaining four waves travel away from the boundary and are termed as downgoing waves. Reflection and refraction of plane harmonic acoustic waves are studied at a plane boundary between anisotropic thermoviscoelastic solid and a non-viscous fluid. At this fluid-solid interface, an incident acoustic wave through the fluid reflects back as an attenuated acoustic wave and refracts as four attenuating waves into the anisotropic base. Slowness vectors of all the waves in two media differ only in vertical components. Complex values of vertical slowness define inhomogeneous refracted waves with a fixed direction of attenuation, i.e. perpendicular to the interface.Energy partition is calculated at the interface to find energy shares of reflected and refracted waves. A part of incident energy dissipates due to interaction among the attenuated refracted waves. Numerical examples are considered to study the variations in energy shares with the direction of incident wave. For each incidence, the conservation of incident energy is verified in the presence of interaction energy. Energy partition at the interface seems to be changing very slightly with the azimuthal variations of the incident direction. Effects of anisotropy, elastic relaxation and thermal parameters on the variations in energy partition are discussed. The acoustic wave reflected from isothermal interface is much significant for incidence around some critical directions, which are analogous to the critical angles in a non-dissipative medium. The changes in thermal relaxation times and uniform temperature of the thermoviscoelastic medium do not show any significant effect on the reflected energy.

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“…The propagation of generalized thermoelastic waves in plates of isotropic media has considered by [7][8][9][10][11]. In [12], the propagation of thermoelastic waves in infinite plates has studied in the context of generalized thermoelasticity and linear theory of thermoelasticity without energy dissipation.…”

Section: Introductionmentioning

confidence: 99%

Wave propagation in transversely isotropic plates in generalized thermoelasticity

Verma¹,

Hasebe²

2002

Archive of Applied Mechanics (Ingenieur Archiv)

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In this paper, the boundary value problem in generalized thermoelasticity concerning the propagation of plane harmonic waves in a thin, flat, infinite homogeneous, transversely isotropic plate of finite width is solved. The frequency equations corresponding to the symmetric and antisymmetric modes of vibration of the plate are obtained. The limiting and special cases of the frequency equations have also been discussed. Finally, a numerical solution of the frequency equations for a NaF crystal is carried out, and the dispersion curves for the lowest six modes of the symmetric and antisymmetric vibrations are represented graphically at different values of thermal relaxation time.

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Plane waves in generalized thermoelasticity

Cited by 76 publications

References 6 publications

Relaxation Effects on Plane Wave Propagation in a Rotating Magneto-Thermo-Viscoelastic Medium

Relaxation Effects on Plane Wave Propagation in a Rotating Magneto-Thermo-Viscoelastic Medium

Acoustic reflection from the boundary of anisotropic thermoviscoelastic solid with fluid

Wave propagation in transversely isotropic plates in generalized thermoelasticity

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