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Effect of Maxwell stress on a moving crack with polarization saturation region in ferroelectric solid

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Abstract

The focus of this work is on a generalized two-dimensional problem of a crack moving in a piezoelectric solid subjected to uniform electrical load at infinity. The novel point includes that the electric field inside the crack is taken into account when polarization saturation region exists. Based on the extended Stroh formalism and complex function method, explicit expressions of both the stress fields in the solid and electric fields inside the crack are derived by using semi-permeable crack model, respectively. Effect of Maxwell stress along the crack surface is investigated and the results are illustrated graphically. It is shown that the moving speed of the crack cannot exceed the lowest bulk wave speed. It is also found that the medium properties inside the crack and surrounding the ferroelectric solid at infinity directly affect the Maxwell stress, and as a result the Maxwell stresses are remarkable and cannot be ignored under different electric load.

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Acknowledgements

We thank the National Natural Science Foundation of China for financial support to the Project (11232007, 11472130 and 11272222).

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Authors and Affiliations

  1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Luqiao Qi, Yan Shi & Cunfa Gao

  2. Department of Engineering Mechanics, Shijiazhuang Tiedao University, 17 Northeast, Second Inner Ring, Shijiazhuang, 050043, China

    Jinxi Liu

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  1. Luqiao Qi
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  2. Yan Shi
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  3. Jinxi Liu
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  4. Cunfa Gao
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Correspondence to Cunfa Gao.

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Qi, L., Shi, Y., Liu, J. et al. Effect of Maxwell stress on a moving crack with polarization saturation region in ferroelectric solid. Meccanica 53, 3037–3045 (2018). https://doi.org/10.1007/s11012-018-0856-9

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  • DOI: https://doi.org/10.1007/s11012-018-0856-9

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