Acta Mechanica Solida Sinica

, Volume 24, Issue 5, pp 429–438 | Cite as

Fracture Assessment of an Interface Crack Between Two Dissimilar Magnetoelectroelastic Materials under Heat Flow and Magnetoelectromechanical Loadings

Article

Abstract

A magnetoelectrically permeable interface crack between two semi-infinite magnetoelectroelastic planes under the action of a heat flow and remote magnetoelectromechanical loadings is considered, where the assumption of frictionless contact between two dissimilar halfplanes is adopted. Not only the solutions of the interface crack problem are presented in an explicit form, but also the general condition for the transition from a perfect thermal contact of two magnetoelectroelastic bodies to their separation is given.

Key words

fracture interface crack magnetoelectrically permeable crack frictionless interface heat flow 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Gao, C.F., Kessler, H. and Balke, H., Fracture analysis of electromagnetic thermoelastic solids. European Journal of Mechanics A-Solids, 2003, 22: 433–442.CrossRefGoogle Scholar
  2. [2]
    Niraula, O.P. and Wang, B.L., Thermal stress analysis in magneto-electro-thermoelasticity with a penny-shaped crack under uniform heat flow. Journal of Thermal Stresses, 2006, 29: 423–437.CrossRefGoogle Scholar
  3. [3]
    Wang, B.L. and Niraula, O.P., Transient thermal fracture analysis of transversely isotropic magneto-electro-elastic materials. Journal of Thermal Stresses, 2007, 30: 297–317.CrossRefGoogle Scholar
  4. [4]
    Feng, W.J., Pan, E. and Wang, X., Stress analysis of a penny-shaped crack in a magneto-electro-thermoelastic layer under uniform heat flow and shear loads. Journal of Thermal Stresses, 2008, 31: 497–514.CrossRefGoogle Scholar
  5. [5]
    Chen, X.H., On magneto-thermo-viscoelastic deformation and fracture. International Journal of Non-linear Mechanics, 2009, 44: 244–248.CrossRefGoogle Scholar
  6. [6]
    Sladek, J., Sladek, V., Solek, P. and Zhang, C., Fracture analysis in continuously nonhomogeneous magneto-electro-elastic solids under a thermal load by the MLPG. International Journal of Solids and Structures, 2010, 47: 1381–1391.CrossRefGoogle Scholar
  7. [7]
    Gao, C.F. and Noda, N., Thermal-induced interfacial cracking of magnetoelectroelastic material. International Journal of Engineering Science, 2004, 42: 1347–1360.CrossRefGoogle Scholar
  8. [8]
    Zhu, B.J., Shi, Y.L., Qin, T.Y., Sukop, M., Yu, S.H. and Li, Y.B., Mixed-mode stress intensity factors of 3D interface crack in fully coupled electromagnetothermoelastic multiphase composites. International Journal of Solids and Structures, 2009, 46: 2669–2679.CrossRefGoogle Scholar
  9. [9]
    Herrmann, K.P. and Loboda, V.V., Fracture mechanical assessment of interface cracks with contact zones in piezoelectric bimaterials under thermoelectromechanical loadings I. Electrically Permeable interface cracks. International Journal of Solids and Structures, 2003, 40: 4191–4217.CrossRefGoogle Scholar
  10. [10]
    Li, R. and Kardomateas, G.A., The mixed mode I and II interface crack in piezoelectromagneto-elastic anisotropic bimaterials. ASME Journal of Applied Mechanics, 2007, 74: 614–627.CrossRefGoogle Scholar
  11. [11]
    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, 2009, 46: 3346–3356.CrossRefGoogle Scholar
  12. [12]
    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
  13. [13]
    Herrmann, K.P., Loboda, V.V. and Khodanen, T.V., An interface crack with contact zones in a piezoelectric/piezomagnetic biomaterial. Archive of Applied Mechanics, 2010, 80: 651–670.CrossRefGoogle Scholar
  14. [14]
    Hou, P.F., Teng, G.H. and Chen, H.R., Three-dimensional Green’s function for a point heat source in two-phase transversely isotropic magneto-electro-thermo-elastic material. Mechanics of Materials, 2009, 41: 329–338.CrossRefGoogle Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2011

Authors and Affiliations

  1. 1.Department of Engineering MechanicsShijiazhuang Tiedao UniversityShijiazhuangChina
  2. 2.Department of Civil EngineeringThe University of Hong KongHong KongChina

Personalised recommendations