Effects of electric/magnetic impact on the transient fracture of interface crack in piezoelectric-piezomagnetic sandwich structure: anti-plane case

doi:10.1007/s10483-020-2552-5

Abstract

Abstract: Due to the incompatibility of the interlaminar deformations, the interface debonding or cracking usually happens in a layered magnetoelectric (ME) structure under an applied load. In this paper, the transient responses of the anti-plane interface cracks in piezoelectric (PE)-piezomagnetic (PM) sandwich structures are studied by the standard methods of the integral transform and singular integral equation. Discussion on the numerical examples indicates that the PE-PM-PE structure under electric impact is more likely to fracture than the PM-PE-PM structure under a magnetic impact. The dynamic stress intensity factors (DSIFs) are more sensitive to the variation of the active layer thickness. The effects of the material constants on the DSIFs are dependent on the roles played by PE and PM media during the deformation process.

Key words: piezoelectric (PE)-piezomagnetic (PM), sandwich structure, interface crack, transient response, dynamic stress intensity factor (DSIF)

2010 MSC Number:

74R99

Xing ZHAO, Zhenghua QIAN, Jinxi LIU, Cunfa GAO. Effects of electric/magnetic impact on the transient fracture of interface crack in piezoelectric-piezomagnetic sandwich structure: anti-plane case. Applied Mathematics and Mechanics (English Edition), 2020, 41(1): 139-156.

TrendMD

References

[1] NAN, C. W., BICHURIN, M. I., DONG, S. X., VIEHLAND, D., and SRINIVASAN, G. Multiferroic magnetoelectric composites:historical perspective, status, and future directions. Journal of Applied Physics, 103(3), 031101(2008)
[2] BICHURIN, M. I., PETROV, V. M., and PETROV, R. V. Direct and inverse magnetoelectric effect in layered composites in electromechanical resonance range:a review. Journal of Magnetism and Magnetic Materials, 324(21), 3548-3550(2012)
[3] BICHURIN, M. I. and PETROV, V. M. Modeling of Magnetoelectric Effects in Composites, Springer, Berlin (2014)
[4] SRINIVASAN, G. Magnetoelectric composites. Annual Review of Materials Research, 40(1), 153-178(2010)
[5] SRINIVASAN, G., RASMUSSEN, E. T., GALLEGOS, J., SRINIVASAN, R., BOKHAN, Y. I., and LALETIN, V. M. Magnetoelectric bilayer and multilayer structures of magnetostrictive and piezoelectric oxides. Physical Review B, 64(21), 214408(2001)
[6] WANG, B. L. and MAI, Y. W. An exact analysis for mode III cracks between two dissimilar magnetoelectroelastic layers. Mechanics of Composite Materials, 44(6), 533-548(2008)
[7] WANG, B. L. and MAI, Y. W. Closed-form solution for an antiplane interface crack between two dissimilar magnetoelectroelastic layers. Journal of Applied Mechanics, 73(2), 281-290(2006)
[8] FENG, W. J., SU, R. K. L., LIU, J. X., and LI, Y. S. Fracture analysis of bounded magnetoelectroelastic layers with interfacial cracks under magnetoelectromechanical loads:plane problem. Journal of Intelligent Material Systems and Structures, 21(6), 581-594(2010)
[9] SU, R. K. L. and FENG, W. J. Fracture behavior of a bonded magneto-electro-elastic rectangular plate with an interface crack. Archive of Applied Mechanics, 78(5), 343-362(2008)
[10] WANG, B. L. and HAN, J. C. Effect of finite cracking on the magneto-electric coupling properties of magneto-electro-elastic composite laminates. Journal of Intelligent Material Systems and Structures, 21(16), 1669-1679(2010)
[11] ZHOU, Z. G., CHEN, Y., and WANG, B. The behavior of two parallel interface cracks in magnetoelectro-elastic materials under an anti-plane shear stress loading. Composite Structures, 77(1), 97-103(2007)
[12] ZHOU, Z. G., WANG, J. Z., and WU, L. Z. The behavior of two parallel non-symmetric interface cracks in a magneto-electro-elastic material strip under an anti-plane shear stress loading. International Journal of Applied Electromagnetic Mechanics, 29, 163-184(2009)
[13] ZHONG, X. C., LIU, F., and LI, X. F. Transient response of a magnetoelectroelastic solid with two collinear dielectric cracks under impacts. International Journal of Solids and Structures, 46(14-15), 2950-2958(2009)
[14] ZHONG, X. C., LI, X. F., and LEE, K. Y. Transient response of a cracked magnetoelectric material under the action of in-plane sudden impacts. Computational Materials Science, 45(4), 905-911(2009)
[15] SU, R. K. L., FENG, W. J., and LIU, J. X. Transient response of interface cracks between dissimilar magneto-electro-elastic strips under out-of-plane mechanical and in-plane magneto-electrical impact loads. Composite Structures, 78(1), 119-128(2007)
[16] FENG, W. J., LI, Y. S., and XU, Z. H. Transient response of an interfacial crack between dissimilar magnetoelectroelastic layers under magnetoelectromechanical impact loadings:mode-I problem. International Journal of Solids and Structures, 46(18-19), 3346-3356(2009)
[17] FENG, W. J. and PAN, E. N. Dynamic fracture behavior of an internal interfacial crack between two dissimilar magneto-electro-elastic plates. Engineering Fracture Mechanics, 75(6), 1468-1487(2008)
[18] WANG, B. L., HAN, J. C., and DU, S. Y. Transient fracture of a layered magnetoelectroelastic medium. Mechanics of Materials, 42(3), 354-364(2010)
[19] PENG, X. L. and LI, X. F. Transient response of the crack-tip field in a magnetoelectroelastic halfspace with a functionally graded coating under impacts. Archive of Applied Mechanics, 79(12), 1099-1113(2009)
[20] PAN, E. and WANG, R. Effects of geometric size and mechanical boundary conditions on magnetoelectric coupling in multiferroic composites. Journal of Physics D:Applied Physic, 42(24), 245503-245507(2009)
[21] SUN, K. H., KIM, J. E., KIM, B. O., and KIM, Y. Y. Optimal configuration of magnetoelectric composites under various mechanical boundary conditions. Composite Science and Technology, 142, 221-226(2017)
[22] LI, Y. D. and LEE, K. Y. Effects of magneto-electric loadings and piezomagnetic/piezoelectric stiffening on multiferroic interface fracture. Engineering Fracture Mechanics, 77(5), 856-866(2010)
[23] LI, Y. D., FENG, F. X., and ZHAO, H. Multiple interfacial cracks in a bi-layered multiferroic composite under magnetostriction or electrostriction. Engineering Fracture Mechanics, 90, 65-75(2012)
[24] WAN, Y. P., YUE, Y. P., and ZHONG, Z. Multilayered piezomagnetic/piezoelectric composite with periodic interface cracks under magnetic or electric field. Engineering Fracture Mechanics, 84, 132-145(2012)
[25] TIAN, W. X., ZHONG, Z., and LI, Y. C. Multilayered piezomagnetic/piezoelectric composites with periodic interfacial cracks subject to in-plane loading. Smart Materials and Structures, 25(1), 015029(2016)
[26] ZHAI, J. Y., XING, Z. P., DONG, S. X., and LI, J. F. Magnetoelectric laminate composites:an overview. Journal of the America Ceramic Society, 91(2), 351-358(2009)
[27] XIAO, J. H., XU, Y. L., and ZHANG, F. C. Evaluation of effective electroelastic properties of piezoelectric coated nano-inclusion composites with interface effect under antiplane shear. International Journal of Engineering Science, 69(3), 61-68(2013)
[28] GURTIN, M. E., WEISSMULLER, J., and LARCHE, F. A general theory of curved deformable interfaces in solids at equilibrium. Philosophical Magazine A, 78(5), 1093-1109(1998)
[29] ZHANG, A. B. and WANG, B. L. Theoretical model of crack branching in magnetoelectric thermoelastic materials. International Journal of Solids and Structures, 51(6), 1340-1349(2014)
[30] ZARMEHRI, N. R., NAZARI, M. B., and ROKHI, M. M. XFEM analysis of a 2D cracked finite domain under thermal shock based on Green-Lindsay theory. Engineering Fracture Mechanics, 191, 286-299(2018)
[31] ERDOGAN, F., GUPTA, G. D., and COOK, T. S. Numerical solution of singular integral equations. Methods of Analysis and Solutions of Crack Problems, 1, 368-425(1973)
[32] STEHFEST, H. Numerical inversion of Laplace transforms. Communications of ACM, 13, 47-49(1970)