Plane waves in thermoelasticity and magnetothermoelasticity

Puri, P.

doi:10.1016/0020-7225(72)90052-3

Cited by 64 publications

(28 citation statements)

References 3 publications

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“…The dispersion relation (4.8) is similar to the dispersion relation for plane thermoelastic waves, and our analysis of the dispersion relation (4.8) will follow that of Puri [5] for thermoelastic waves. The information obtained from the dispersion relation includes the wave numbers, the wave speeds, the attenuation coefficients and the specific loss.…”

Section: Dispersion Of Plane Waves In An Infinite Mediummentioning

confidence: 58%

“…For linear elastic materials these waves are discussed, for example, by Kolsky [3]. For linear coupled thermoelastic materials an analysis of the plane wave behavior is given by Deresiewicz [4] and Puri [5,6]. Cowin and Nunziato [1] derived the frequency equation for plane waves in the context of the theory of linear elastic materials with voids, but they did not undertake a complete analysis of the equation.…”

Section: Introductionmentioning

confidence: 99%

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Plane waves in linear elastic materials with voids

1985

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The behavior of plane harmonic waves in a linear elastic material with voids is analyzed. There are two dilational waves in this theory, one is predominantly the dilational wave of classical linear elasticity and the other is predominantly a wave carrying a change in the void volume fraction. Both waves are found to attenuate in their direction of propagation, to be dispersive and dissipative. At large frequencies the predominantly elastic wave propagates with the classical elastic dilational wave speed, but at low frequencies it propagates at a speed less than the classical speed. It makes a smooth but relatively distinct transition between these wave speeds in a relatively narrow range of frequency, the same range of frequency in which the specific loss has a relatively sharp peak. Dispersion curves and graphs of specific loss are given for four particular, but hypothetical, materials, corresponding to four cases of the solution.

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Section: Dispersion Of Plane Waves In An Infinite Mediummentioning

confidence: 58%

Section: Introductionmentioning

confidence: 99%

Plane waves in linear elastic materials with voids

1985

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“…(64) is similar to the dispersion relation for plane thermoelastic waves studied in [33] and our analysis will use results there obtained. The first transverse solution of (64) is associated predominantly with the elastic properties of the material (v t ) and denoted by δ t ; the second one, δ tm , with the properties governing elastic and dissipative changes in porosity (v tm , λ 4 , λ 6 and σ).…”

Section: Transverse Wavesmentioning

confidence: 62%

Linear Wave Motions in Continua with Nano-Pores

Giovine¹

2012

Wave Processes in Classical and New Solids

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“…It contains also a new constant that acts as a relaxation time. Lord and Shulman's theory with a thermal relaxation time has been used by several authors including Puri [2] and Nayfeh and Nemat-Nasser [3] to study plane thermoelastic waves in non-rotating infinite media. Surface waves have been also studied by Agarwal [4] in the generalized thermoelasticity.…”

Section: Introductionmentioning

confidence: 99%

Transient Disturbance in a Half-Space under Generalized Magneto-Thermoelasticity with Internal Heat Source

Othman

Lotfy

Farouk³

2009

Acta Phys. Pol. A

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The transient waves caused by a line heat source with a uniform velocity inside isotropic homogeneous thermoelastic perfectly conducting half-space permeated into a uniform magnetic field are studied. The formulation is applied under three theories of generalized thermoelasticity: Lord-Shulman theory with one relaxation time, Green-Lindsay theory with two relaxation times, as well as the classical dynamical coupled theory. The problem is reduced to the solution of three differential equations by introducing the elastic and thermoelastic potentials. The normal mode analysis is used to obtain the expression for the temperature, displacement components and the thermal stresses. Numerical results are given and illustrated graphically. Comparisons are made with the results predicted by the three theories in the presence and absence of magnetic field and the internal heat source.

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Plane waves in thermoelasticity and magnetothermoelasticity

Cited by 64 publications

References 3 publications

Plane waves in linear elastic materials with voids

Plane waves in linear elastic materials with voids

Linear Wave Motions in Continua with Nano-Pores

Transient Disturbance in a Half-Space under Generalized Magneto-Thermoelasticity with Internal Heat Source

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