A heat-flux dependent theory of thermoelasticity with voids

Dhaliwal, Ranjit S.; Wang, J.

doi:10.1007/bf01215413

Cited by 61 publications

(27 citation statements)

References 5 publications

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“…Dhaliwal and Wang [5] formulated the heat-flux dependent thermoelasticity theory for an elastic material with voids. This theory includes the heat-flux among the constitutive variables and assumes an evolution equation for the heat-flux.…”

Section: Introductionmentioning

confidence: 99%

Surface Wave Propagation in a Generalized Thermoelastic Material with Voids

Singh¹,

Pal²

2011

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In the present paper, the propagation of surface wave in a generalized thermoelastic solid with voids is considered. The governing equations are solved to obtain the general solution in x-z plane. The appropriate boundary conditions at an interface between two dissimilar half-spaces are satisfied by appropriate particular solutions to obtain the frequency equation of the surface wave in the medium. Some special cases are also discussed.

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Section: Introductionmentioning

confidence: 99%

Surface Wave Propagation in a Generalized Thermoelastic Material with Voids

Singh¹,

Pal²

2011

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“…Saccomandi [8] presented some remarks about the thermoelastic theory of materials with voids. Dhaliwal and Wang [9] developed a heat flux dependent theory of thermoelasticity with voids. Chirita and Scalia [10] studied the spatial and temporal behavior in linear thermoelasticity of materials with voids.…”

Section: Introductionmentioning

confidence: 99%

The Temperature Distribution of a Two‐Dimensional Thermoelastic Material with Voids

Liu

2010

Heat Trans. Asian Res.

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In this paper, an attempt has been made to investigate the temperature field in a two-dimensional thermoelastic medium with voids. This takes place when it is subjected to a time-dependent temperature source under the conditions of conduction heat transfer and interaction between the thermoelastic medium and its surroundings. Analytical expressions of displacements, stresses, temperature increment, and change in the volume fraction field for a layer of thermoelastic medium and a half-space thermoelastic problem are derived by using the Laplace and Fourier transformation techniques. Two scalar potential functions of the displacement are introduced in the solution process. Then, the integral transform is inverted by using a numerical technique, and numerical results are illustrated graphically to analyze the distribution of the fields. Furthermore, the influence of the thermo-void coefficient for two kinds of temperature boundaries is discussed. A comparison is also presented with the corresponding half-space thermoelastic model without voids to ascertain the validity and the difference between these models.

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“…Iesan [10] extended the thermoelastic theory of elastic materials with voids to include initial stresses and initial heat-flux effects. Dhaliwal and Wang [11] formulated a thermoelasticity theory for elastic materials with voids to include the heat flux among the constitutive variables, and assumed an evolution equation for the heat flux. Chirita and Scalia [12] and Pompei and Scalia [13] studied the spatial and temporal behaviors of the transient solutions for the initial-boundary-value problems associated with the linear theory of thermoelastic materials with voids by using the time-weighted surface power function method.…”

Section: Introductionmentioning

confidence: 99%

Propagation of wave at the boundary surface of transversely isotropic thermoelastic material with voids and isotropic elastic half-space

Kumar

2010

Appl. Math. Mech.-Engl. Ed.

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The purpose of this research is to study the effect of voids on the surface wave propagation in a layer of a transversely isotropic thermoelastic material with voids lying over an isotropic elastic half-space. The frequency equation is derived after developing a mathematical model for welded and smooth contact boundary conditions. The dispersion curves giving the phase velocity and attenuation coefficient via wave number are plotted graphically to depict the effects of voids and anisotropy for welded contact boundary conditions. The specific loss and amplitudes of the volume fraction field, the normal stress, and the temperature change for welded contact are obtained and shown graphically for a particular model to depict the voids and anisotropy effects. Some special cases are also deduced from the present investigation.

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A heat-flux dependent theory of thermoelasticity with voids

Cited by 61 publications

References 5 publications

Surface Wave Propagation in a Generalized Thermoelastic Material with Voids

Surface Wave Propagation in a Generalized Thermoelastic Material with Voids

The Temperature Distribution of a Two‐Dimensional Thermoelastic Material with Voids

Propagation of wave at the boundary surface of transversely isotropic thermoelastic material with voids and isotropic elastic half-space

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