Acta Mechanica Solida Sinica

, Volume 22, Issue 3, pp 232–239 | Cite as

Singular behaviors of interfacial cracks in 2D magnetoelectroelastic bimaterials

Article

Abstract

The singular characteristics of stress, electric displacement and magnetic induction fields near the tip of impermeable interfacial cracks in two-dimensional magnetoelectroelastic bimaterials are studied using the generalized Stroh formalism. Two types of singularities are obtained: one is the oscillating singularity 1/2±iε, the other is the non-oscillating singularity 1/2±κ. It is found that the non-zero parameters ε and κ cannot coexist for one transversely isotropic MEE bimaterial, a similar result is obtained for transversely isotropic piezoelectric bimaterials.

Key words

generalized Stroh formalism magnetoelectroelastic bimaterial interfacial crack singularity index 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Bracke, L.P.M. and Van Vliet, R.G., A broadband magneto-electric transducer using a composite material. International Journal of Electronics, 1981, 51: 255–262.CrossRefGoogle Scholar
  2. [2]
    Feng, W.J, Nie, H. and Han, X., A penny-shaped crack in a magnetoelectroelastic layer under radial shear impact loading. Acta Mechanica Solida Sinica, 2007, 20: 275–282.CrossRefGoogle Scholar
  3. [3]
    Li, G., Wang, B.L, Han, J.C. and Du, S.Y., Anti-plane analysis for elliptical inclusion in magnetoelectroelastic materials. Acta Mechanica Solida Sinica, 2009, 22: 137–142.CrossRefGoogle Scholar
  4. [4]
    Feng, W.J., Pan, E. and Wang, X., Dynamic fracture analysis of a penny-shaped crack in a magnetoelectroelastic layer. International Journal of Solids and Structures, 2007, 44: 7955–7974.CrossRefGoogle Scholar
  5. [5]
    Sih, G.C. and Song, Z.F., Magnetic and electric poling effects associated with crack growth in BaTiO3-CoFe2O4 composite. Theoretical and Applied Fracture Mechanics, 2003, 39: 209–227.CrossRefGoogle Scholar
  6. [6]
    Wang, B.L. and Mai, Y.W., Fracture of piezoelectromagnetic materials. Mechanics Research Communications, 2004, 31(1): 65–73.CrossRefGoogle Scholar
  7. [7]
    Gao, C.F., Kessler, H. and Balke, H., Crack problems in magnetoelectroelastic solids, Part I: exact solution of a crack. International Journal of Engineering Science, 2003, 41(9): 969–981.MathSciNetCrossRefGoogle Scholar
  8. [8]
    Gao, C.F., Tong, P. and Zhang, T.Y., Interfacial crack problems in magneto-electroelastic solids. International Journal of Engineering Science, 2003, 41(18): 2105–2121.CrossRefGoogle Scholar
  9. [9]
    Zhao, M.H., Wang, H., Yang, F. and Liu, T., A magnetoelectroelastic medium with an elliptical cavity under combined mechanical-electric-magnetic loading. Theoretical and Applied Fracture Mechanics, 2006, 45: 227–237.CrossRefGoogle Scholar
  10. [10]
    Williams, M.L., The stresses around a fault or crack in dissimilar media. Bulletin of the Seismological Society of America, 1959, 49: 119–204.MathSciNetGoogle Scholar
  11. [11]
    Gao, H., Weight function analysis of interface cracks: mismatch versus oscillation. Journal of Applied Mechanics, Transactions ASME, 1991, 58: 931–938.CrossRefGoogle Scholar
  12. [12]
    Suo, Z., Kuo, C.M., Barnett, D.M. and Willis, J.R., Fracture mechanics for piezoelectric ceramics. Journal of the Mechanics and Physics of Solids, 1992, 40: 739–765.MathSciNetCrossRefGoogle Scholar
  13. [13]
    Ou, Z.C. and Wu, X.J., On the crack-tip stress singularity of interfacial cracks in transversely isotropic piezoelectric bimaterials. International Journal of Solids and Structures, 2003, 40: 7499–7511.CrossRefGoogle Scholar
  14. [14]
    Ou, Z.C. and Chen, Y.H., Interface crack-tip generalized stress field and stress intensity factors in transversely isotropic piezoelectric bimaterials. Mechanics Research Communications, 2004, 31: 421–428.CrossRefGoogle Scholar
  15. [15]
    Chen, Z.T., Karihaloo, B.L. and Yu, S.W., A Griffith crack moving along the interface of two dissimilar piezoelectric materials. International Journal of Fracture, 1998, 91: 197–203.CrossRefGoogle Scholar
  16. [16]
    Zhang, T.Y., Zhao, M.H. and Tong, P., Fracture of piezoelectric ceramics. Advances in Applied Mechanics, 2002, 38: 147–289.CrossRefGoogle Scholar
  17. [17]
    Gu, B., Yu, S.W. and Feng, X.Q., Transient response of an interface crack between dissimilar piezoelectric layers under mechanical impacts. International Journal of Solids and Structures, 2002, 39: 1743–1756.CrossRefGoogle Scholar
  18. [18]
    Qin, Q.H. and Mai, Y.W., A closed crack tip model for interface cracks in thermopiezoelectric materials. International Journal of Solids and Structures, 1999, 36: 2463–2479.CrossRefGoogle Scholar
  19. [19]
    Chen, Y.H. and Lu, T.J., Cracks and fracture in piezoelectric materials. Advances in Applied Mechanics, 2002, 39: 121–215.CrossRefGoogle Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2009

Authors and Affiliations

  • Cuiying Fan
    • 1
  • Youhe Zhou
    • 1
  • Han Wang
    • 2
  • Minghao Zhao
    • 1
    • 2
  1. 1.Key Laboratory of Mechanics on Disaster and Environment in Western China, the Ministry of Education of China, and Department of Mechanics and Engineering Science, College of Civil Engineering and MechanicsLanzhou UniversityLanzhouChina
  2. 2.School of Mechanical EngineeringZhengzhou UniversityZhengzhouChina

Personalised recommendations