Moving load response in a rotating generalized thermoelastic medium

Ailawalia, Praveen; Narah, Naib Singh

doi:10.12989/imm.2010.3.1.081

Cited by 2 publications

(2 citation statements)

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“…thermoelastic half-space. Ailawalia and Narah (2010) obtained the expressions for displacement, force stress and temperature distribution in a rotating generalized thermoelastic medium due to a moving load.…”

Section: Introductionmentioning

confidence: 99%

“…Ailawalia et al (2009a, b) discussed effect of rotation due to various sources at the interface of elastic half‐space and generalized thermoelastic half‐space. Ailawalia and Narah (2010) obtained the expressions for displacement, force stress and temperature distribution in a rotating generalized thermoelastic medium due to a moving load.…”

Section: Introductionmentioning

confidence: 99%

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Effect of hydrostatic initial stress and rotation in Green‐Naghdi (type III) thermoelastic half‐space

Ailawalia¹,

Budhiraja

Singh³

2011

Multidiscipline Modeling in Materials and Structures

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Purpose -The purpose of this paper is to study the deformation of Green-Naghdi (type III) thermoelastic solid half-space under hydrostatic initial stress and rotation. Design/methodology/approach -The normal mode analysis is used to obtain the analytical expressions of the displacement components, force stress and temperature distribution. Findings -The numerical results are given and presented graphically when mechanical/thermal source is applied. Originality/value -Comparisons are made in the presence and absence of hydrostatic initial stress and rotation and their effect is shown graphically. IntroductionBiot (1956) developed the coupled theory of thermoelasticity where heat equation being parabolic predicts an infinite speed of propagation for the temperature, which is physically irrelevant. Lord and Shulman (1957) developed the theory of generalized thermoelasticity with one relaxation time for the special case of an isotropic body. Green and Lindsay (1971) developed the theory of thermoelasticity after taking two relaxation times. The above two theories allow finite speed of propagation of waves. Chandrasekharaiah (1986) referred to this wavelike thermal disturbance as "second sound". The representative theories in the range of generalized thermoelastcity are reviewed by Hetnarski and Ignaczak (1999). Green and Naghdi (1991, 1992, 1993 proposed three new thermoelastic theories based on entropy equality rather than the usual entropy inequality. The constitutive assumption for the heat flux vector are different in each theory. Thus, they obtained three theories which are called thermoelasticity of type I, thermoelasticity of type II and thermoelasticity type III. When type I theory is linearized, we obtained the classical system of thermoelasticity. The type II theory (is a limiting case of type III) does not admit energy dissipation.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%