A domain of influence theorem for a natural stress–heat-flux disturbance in thermoelasticity of type-II

Kumari, Bharti; Mukhopadhyay, Santwana

doi:10.1080/01495739.2016.1189296

Cited by 2 publications

(1 citation statement)

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“…In the three phase-lag model, the domain of influence theorem has been derived by Kumar and Kumar [39]. Domain of influence theorems under the type-II thermoelasticity theory are reported by Kumari and Mukhopadhyay [40, 41]. The domain of influence results for a natural stress–heat-flux problem under the MGT thermoelasticity theory have been recently discussed by Jangid and Mukhopadhyay [42].…”

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confidence: 99%

A domain of influence theorem under MGT thermoelasticity theory

Jangid

Mukhopadhyay

2020

Mathematics and Mechanics of Solids

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The purpose of this article is to discuss domain of influence results under the Moore–Gibson–Thompson (MGT) thermoelasticity theory. We employ a mixed initial–boundary value problem concerning a homogeneous and isotropic material in view of the MGT thermoelasticity theory and establish the domain of influence theorem for potential–temperature disturbance. This theorem implies that the coupling of potential and temperature generates a thermoelastic disturbance, which vanishes outside the bounded domain for a prescribed bounded support of thermomechanical loading and for a finite time. The resulted bounded domain is subjected to the support of the prescribed load. The finite propagation of thermoelastic disturbance is also analyzed under the MGT theory, where the propagation speed depends on the parameters of the thermoelastic material. It is further shown that the domain of influence result for the present context reduces to the domain of influence result derived in the generalized thermoelasticity theory of Lord and Shulman under some conditions.

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