Evaluation of the stress intensity factor for circumferential cracked cylinders under non-classical thermal shock

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Abstract

In this paper, the stress intensity factor for a circumferential crack in a thick-walled cylinder is derived analytically and numerically which is subjected to the non-Fourier (hyperbolic) thermal shock. The uncoupled thermoelasticity governing equations for an uncracked cylinder are solved analytically. The weight function method is implemented to obtain the stress intensity factor. The non-dimensional hyperbolic heat equation is solved using finite Hankel transform and separation of variables method. Results show the different behavior of the crack under hyperbolic thermal shock. For relatively short cracks, the maximum stress intensity factor of Fourier and hyperbolic models is closed. But for longer cracks, the stress intensity factor of the hyperbolic model is significantly greater than Fourier model. Moreover, the maximum stress intensity factor in hyperbolic model occurs for a crack the peak of stress wave reaches to its tip. According to the results, assumption of adequate heat conduction model for structure design under transient thermal loading is critical.

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References

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Journal of Solid and Fluid Mechanics
Volume 5, Issue 3 - Serial Number 3
September and October 2015
Pages 101-112

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