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Propagation of conductive crack along interface of piezoelectric/piezomagnetic bimaterials

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Abstract

This paper investigates the fracture characteristics of a Yoffe conductive crack moving along the interface of piezoelectric (PE)/piezomagnetic (PM) bimaterials. By assuming that the tangential electric- and magnetic-fields along the crack surface are zero and that the speed of the moving crack is lower than the minimum shear wave speed of the bimaterial system, the considered problem can be transformed into a Riemann–Hilbert boundary value problem of vector form. Then, the singularity parameters are exactly solved for different speed regions. In contrast to the anti-plane moving crack model including impermeable and permeable crack-face assumptions along the interface of magnetoelectroelastic (MEE) bimaterials studied before, which shows inverse square-root singularity, three novel kinds of singularities are found as the speed of the moving crack is varied for the present PE/PM interface model, which can be defined as δ1,2 = − 1/2 ± iε (Case 1), δ1,2 = − 1 ± iε (Case 2) and δ1,2 = − 1/2 ± κ (Case 3), and the third parameter δ3 = − 1/2 always holds true for all three cases. Two bimaterial combinations, i.e., BaTiO3/CoFe2O4 and BaTiO3/Terfenol-D, are numerically examined. Different from the piezoelectric case, Case 3 does not appear for BaTiO3/CoFe2O4 bimaterial combination. Above all, the singularity parameters significantly depend on the speed of the moving crack and the material properties of bimaterial systems.

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Acknowledgement

Support from the General Research Fund of Hong Kong (HKU 17223916 ), the National Natural Science Foundation of China (Grant Nos. 11572358 , 10772123 and11072160 ) and the Training Program for Leading Talent in University Innovative Research Team in Hebei Province (LJRC006) is gratefully acknowledged.

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Authors and Affiliations

  1. Department of Civil Engineering, The University of Hong Kong, Hong Kong, People’s Republic of China

    P. Ma & R. K. L. Su

  2. Bureau of Public Works of Pingshan District, Shenzhen, People’s Republic of China

    P. Ma

  3. Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang, 050043, People’s Republic of China

    W. J. Feng

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  1. P. Ma
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  2. R. K. L. Su
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  3. W. J. Feng
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Correspondence to R. K. L. Su.

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Ma, P., Su, R.K.L. & Feng, W.J. Propagation of conductive crack along interface of piezoelectric/piezomagnetic bimaterials. Acta Mech 232, 2781–2791 (2021). https://doi.org/10.1007/s00707-021-02988-5

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  • DOI: https://doi.org/10.1007/s00707-021-02988-5

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