On singular surfaces in isotropic linear thermoelasticity with initial stress

Montanaro, Adriano

doi:10.1121/1.427154

Cited by 89 publications

(52 citation statements)

References 10 publications

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“…The study of reflection and refraction phenomena of plane waves in an unbounded medium under initial stresses is due to Chattopadhyay et al [23], Sidhu and Singh [24] and Dey et al [25]. Montanaro [26] investigated the isotropic linear thermoelasticity with hydrostatic initial stress. Singh et al [27], Singh [28] and Othman and Song [29] studied the reflection of thermoelastic waves from a free surface under a hydrostatic initial stress in the context of different theories of generalized thermoelasticity.…”

Section: Introductionmentioning

confidence: 99%

Fibre-Reinforced Generalized Thermoelastic Medium under Hydrostatic Initial Stress

Ailawalia¹,

Budhiraja²

2011

ENG

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The present problem is concerned with the deformation of an infinite fibre-reinforced generalized thermoelastic medium with hydrostatic initial stress under the influence of mechanical force. The normal mode analysis is used to obtain the analytical expressions of the displacement components, force stress and temperature distribution. The numerical results are given and presented graphically for Green-Lindsay [1] theory of thermoelasticity. Comparisons are made in the presence and absence of hydrostatic initial stress and anisotropy.

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Section: Introductionmentioning

confidence: 99%

Fibre-Reinforced Generalized Thermoelastic Medium under Hydrostatic Initial Stress

Ailawalia¹,

Budhiraja²

2011

ENG

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“…Montanaro [15] investigated the isotropic linear thermoelasticity with hydrostatic initial stress. Wang and Slattery [16] formulated the thermoelastic equations without energy dissipation for a body which has previously received a large deformation and is at nonuniform temperature.…”

Section: Journal Of Thermodynamicsmentioning

confidence: 99%

Effect of Initial Stress on the Propagation Characteristics of Waves in Fiber-Reinforced Transversely Isotropic Thermoelastic Material under an Inviscid Liquid Layer

Kumar

Ahuja

Garg

2014

Journal of Thermodynamics

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Correspondence should be addressed to Sanjeev Ahuja; sanjeev ahuja81@hotmail.com The present investigation deals with the propagation of waves in fiber-reinforced transversely isotropic thermoelastic solid half space with initial stresses under a layer of inviscid liquid. The secular equation for surface equation in compact form is derived after developing the mathematical model. The phase velocity and attenuation coefficients of plane waves are studied numerically for a particular model. Effects of initial stress and thickness of the layer on the phase velocity, attenuation coefficient, and specific loss of energy are predicted graphically in the certain model. A particular case of Rayleigh wave has been discussed and the dispersion curves of the phase velocity and attenuation coefficients have also been presented graphically. Some other particular cases are also deduced from the present investigation.

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“…The above equations are supplemented by the field equations and constitutive relations with initial stress and two temperatures according to Lord and Shulman [2], Montanaro [20], and Youssef [27] as follows.…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…The study of reflection and refraction phenomenon of plane waves in an unbounded medium under initial stresses is due to Chattopadhyay et al [19]. Montanaro [20] constructed the model of isotropic linear thermoelasticity with hydrostatic initial stress. Othman and Song [21] and Singh [22] studied the reflection of thermoelastic waves from a free surface under hydrostatic initial stress in the context of different theories of generalized thermoelasticity.…”

Section: Introductionmentioning

confidence: 99%

Two Temperature Magneto-Thermoelasticity with Initial Stress: State Space Formulation

Deswal

Kalkal

2013

Journal of Thermodynamics

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Magneto-thermoelastic interactions in an initially stressed isotropic homogeneous elastic half-space with two temperatures are studied using mathematical methods under the purview of the L-S model of linear theory of generalized thermoelasticity. The formalism deals with the state space approach with the purpose of counteracting the difficulties of handling the displacement potential functions. Of specific concern here is the propagation of waves owing to ramp type increase in temperature and load. The medium is considered to be permeated by a uniform magnetic field. The expressions for different field parameters such as displacement, temperature, strain, and stress in the physical domain are obtained by applying a numerical inversion technique. Results of some earlier workers have been deduced from the present formulation. Numerical work is also performed for a suitable material with the aim of illustrating the results.

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On singular surfaces in isotropic linear thermoelasticity with initial stress

Cited by 89 publications

References 10 publications

Fibre-Reinforced Generalized Thermoelastic Medium under Hydrostatic Initial Stress

Fibre-Reinforced Generalized Thermoelastic Medium under Hydrostatic Initial Stress

Effect of Initial Stress on the Propagation Characteristics of Waves in Fiber-Reinforced Transversely Isotropic Thermoelastic Material under an Inviscid Liquid Layer

Two Temperature Magneto-Thermoelasticity with Initial Stress: State Space Formulation

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