A thermoelastic model with higher order time derivatives for a crack in a rotating solid

Abstract

This article represents a refined one-temperature thermoelastic model with higher order time derivatives and phase-lags for a Mode-I crack in a rotating fiber-reinforced solid. The crack is subjected to a stipulated temperature and normal stress. The exact expressions of displacement, temperature and stress components are obtained by normal mode analysis. Some generalized thermoelasticity theories are obtained as special cases. The convergency of the present refined model is tabulated and is compared with other theories. The variations of the temperature, displacements and stresses are presented graphically with the crack length to show the effect of phase-lags and thermal relaxation time through Refined-phase-lag (RPL), simple-phase-lag (SPL), Green-Naghdi (G-N) theory, Lord-Shulman (L-S) theory and the Coupled thermoelasticity (CTE) theory in the presence and absence of rotation.

Keywords:

• Refined phase-lag theory
• mode-I crack
• thermoelasticity
• fiber-reinforced
• rotation

Acknowledgements

The authors are grateful to the referees for their advice to improve the manuscript.

Disclosure statement

The authors declare that they have no conflict of interest.

Additional information

Funding

The author Sourav Kumar Panja is financially supported by UGC, New Delhi, India through JRF (NTA ref no. 191620017887) during this research work.