Stability of waves and shock structure in generalised thermoelasticity at low temperatures

Beevers, C. E.

doi:10.1007/bf01260879

Cited by 12 publications

(4 citation statements)

References 13 publications

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“…Puri (1973Puri ( , 1975) also studied plane wave propagation under ETE. Beevers (1973) established the Whitham stability of thermoelastic plane waves in ETE media. Employing the same basic approach outlined by Puri (1972Puri ( , 1973Puri ( , 1975, Agarwal (1979) compared/contrasted plane waves under CTE, ETE and TRDT and established the Whitham stability of plane waves in TRDT media.…”

Section: Introductionmentioning

confidence: 99%

On the propagation of plane waves in type–III thermoelastic media

Puri

Jordan

2004

Proc. R. Soc. Lond. A

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The propagation of plane waves in infinite, three-dimensional, type-III thermoelastic media is investigated. Exact dispersion relation solutions are determined and several characterizations of the wavefield are examined. Low-and high-frequency asymptotic expressions are given, small-coupling limit results are derived, and special/limiting cases, including those corresponding to thermoelastic media of types II and I, are noted. Computational tools are used to illustrate the analytical findings and to study the effects of varying the physical parameters. Of the findings presented, the following are most significant: (i) the determination of critical values of the physical parameters and their impact on the wavefields; (ii) ascertaining that type-III media behave, essentially, like type-II (respectively, type-I) media with respect to low-(respectively, high-) frequency plane waves; (iii) establishing the Whitham stability of plane waves in type-III media; and (iv) the determination of the dispersion characteristics of type-III media.

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Section: Introductionmentioning

confidence: 99%

On the propagation of plane waves in type–III thermoelastic media

Puri

Jordan

2004

Proc. R. Soc. Lond. A

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“…Plane thermoelastic waves in the theory of Green and Lindsay are always stable, according to a criterion given by Whitham and applied previously by Beevers (1973) to the theory of Lord and Shulman. 1980a, A. Morro Seifert studied a one-dimensional version of the problem treated by Miller (1978) and obtained asymptotic stability for the zero solution when there are no sources and k )0, F(0) )0 in Nunziato's model.…”

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confidence: 99%

Heat waves

1989

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“…Nowacki [1] has described clearly the dynamics of thermo-elasticity and presented numerous problems in his book. Beevers [2] studied the stability of wave and shock structure in generalized thermo-elasticity at low temperature. Manacorda [3] discussed the propagation of discontinuity wave in a thermoelastic incompressible materials.…”

Section: Introductionmentioning

confidence: 99%

Longitudinal Wave in a Thermally Conducting Elastic Medium

Pradhan*,

Samal*

2019

IJRTE

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The longitudinal wave propagation in a thermally conducting elastic medium has been investigated. Considering the equations of motions of longitudinal wave in displacement and temperature field, the frequency equation has been derived. The dispersion and damping equations have been derived for the propagation of longitudinal wave in four materials i.e Copper, Steel, Aluminum, and Lead. Effect of Phase velocity and damping coefficient are shown graphically. It is found that the increase in wave number results the decrease in Phase velocity and increase in damping coefficient.

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Stability of waves and shock structure in generalised thermoelasticity at low temperatures

Cited by 12 publications

References 13 publications

On the propagation of plane waves in type–III thermoelastic media

On the propagation of plane waves in type–III thermoelastic media

Heat waves

Longitudinal Wave in a Thermally Conducting Elastic Medium

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