Skip to main content
SpringerLink
Log in

Fundamental solutions for transversely isotropic magneto-electro-elastic media and boundary integral formulation

  • Published:
Science in China Series E: Technological Sciences Aims and scope Submit manuscript

Abstract

To obtain the fundamental solutions for computation of magneto-electro-elastic media by the boundary element method, the general solutions in the case of distinct eigenvalues are derived and expressed in five harmonic functions from the governing equations and the strict differential operator theorem. On the basis of these general solutions, the fundamental solution of infinite magneto-electro-elastic solid are obtained with the method of trial-and-error. Finally, the boundary integral formulation is derived and the corresponding boundary element method program is implemented to perform two numerical calculations (a column under uni-axial tension, uniform electric displacement or uniform magnetic induction, an annular plate simply-supported on outer and inner surfaces under axial loads). The numerical results agree well with the analytical ones.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Nan, C. W., Magnetoelectric effect in composites of piezoelectric and piezomagnetic phases, Physical Review, B, 1994, 50: 6082–6088.

    Article  Google Scholar 

  2. Benveniste, Y., Mangetoelectric effect in fibrous composites with piezoelectric and piezomagnetic phases, Physical Review, B, 1995, 51: 16424–16427.

    Article  Google Scholar 

  3. Ding, H. J., Liang, J., Chen, B., Fundamental solution for transversely isotropic piezoelectric media, Science in China, Series A, 1996, 39(8): 766–775.

    MATH  Google Scholar 

  4. Dunn, M. L., Wienecke, H. A., Green's functions for transversely isotropic piezoelectric solids, Int. J. Solids Struct, 1996, 33: 4571–4581.

    Article  MATH  Google Scholar 

  5. Ding, H. J., Chen, B., Liang, J., On the Green's functions for two-phase transversely isotropic piezoelectric media, Int. J. Solids Struct., 1997, 34: 3041–3057.

    Article  MATH  Google Scholar 

  6. Ding, H. J., Liang, J., The fundamental solutions for transversely isotropic piezoelectric and BEM, Computers & Structures, 1999, 77: 447–455.

    Article  Google Scholar 

  7. Li J. Y., Magneto-electro-elastic multi-inclusion and inhomogeneity problems and their applications in composite materials, Int. J. Eng. Sci., 2000, 38: 1993–2011.

    Article  Google Scholar 

  8. Pan, E., Exact solution for simply supported and multilayered magneto-electro-elastic plates, ASME J. App. Mech., 2001, 68: 608–618.

    Article  MATH  Google Scholar 

  9. Pan, E., Three-dimensional Green's function in anisotropic magneto-electro-elastic bimaterials, Z. Angrew. Math. Phys., 2002, 53: 815–838.

    Article  MATH  Google Scholar 

  10. Wang, X., Shen, Y. P., The general solution of three-dimensional problems in magneto-electro.-elastic media, Int. J. Eng. Sci., 2002, 40: 1069–1080.

    MathSciNet  Google Scholar 

  11. Huang, J. H., Kuo, W. S., The analysis of piezoelectric/piezomagnetic composite materials containing an ellipsoidal inclusion, J. App. Phys., 1997, 81: 1378–1386.

    Article  Google Scholar 

  12. Li, J. Y., Dunn, M. L., Micromechanics of magnetoelectroelastic composite materials: average fields and effective behavior, J. Intell. Mater. Syst. Struct., 1998, 7: 404–416.

    Article  Google Scholar 

  13. Ding, H. J., Chen, B., Liang, J., General solutions for coupled equations for piezoelectric media, Int. J. Solids Struct., 1996, 33: 2283–2298.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Civil Engineering, Zhejiang University, 310027, Hangzhou, China

    Ding Haojiang & Jiang Aimin

  2. West Branch of Zhejiang University of Technology, 324006, Quzhou, China

    Jiang Aimin

Authors
  1. Ding Haojiang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jiang Aimin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ding Haojiang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ding, H., Jiang, A. Fundamental solutions for transversely isotropic magneto-electro-elastic media and boundary integral formulation. Sci. China Ser. E-Technol. Sci. 46, 607–619 (2003). https://doi.org/10.1360/03ye0113

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1360/03ye0113

Keywords

Search

Navigation