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Non-Fourier thermal shock resistance of the ceramic plate with an embedded elliptical crack

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Abstract

Elliptical cracks are common in practice engineering. Non-Fourier heat conduction law assumed that the speed of heat propagation in a body is finite. When the length size of materials reduces to micro/nanoscale or the thermal shock time reduces to ps/fs scale, the theory is more exact to evaluate the thermal shock resistance. In this paper, non-Fourier thermal fracture and thermal shock resistance of a ceramic plate with an embedded elliptical crack are evaluated. Firstly, the non-Fourier temperature is analytically solved by the standard separation of variables method. Secondly, the thermal stress is obtained for the ceramic plate without crack by temperature-stress constitutive equation. Thirdly, the thermal stress intensity factor is given by the thermal stress. Finally, the thermal shock resistance is evaluated by the strength and fracture toughness failure criteria.

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Acknowledgements

The authors thank the Natural Science Foundation of Tianjin (Grant Nos. 20JCYBJC00490, 20JCQNJC01070) for supporting this study.

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Authors and Affiliations

  1. National-Local Joint Engineering Laboratory of Intelligent Manufacturing Oriented Automobile Die and Mould, Tianjin University of Technology and Education, Tianjin, 300222, People’s Republic of China

    Dongmei Chang

  2. Tianjin Key Laboratory of High-Speed Cutting and Precision Machining, Tianjin University of Technology and Education, Tianjin, 300222, People’s Republic of China

    Gang Jin & Jianxin Han

  3. School of Aeronautical Engineering, Civil Aviation University of China, Tianjin, 300300, People’s Republic of China

    Xuefeng Liu

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  1. Dongmei Chang
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  2. Xuefeng Liu
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Correspondence to Dongmei Chang.

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Chang, D., Liu, X., Jin, G. et al. Non-Fourier thermal shock resistance of the ceramic plate with an embedded elliptical crack. Arch Appl Mech 93, 773–784 (2023). https://doi.org/10.1007/s00419-022-02298-9

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