Fields induced by three-dimensional dislocation loops in anisotropic magneto-electro-elastic bimaterials

Abstract

The coupled elastic, electric and magnetic fields produced by an arbitrarily shaped three-dimensional dislocation loop in general anisotropic magneto-electro-elastic (MEE) bimaterials are derived. First, we develop line-integral expressions for the fields induced by a general dislocation loop. Then, we obtain analytical solutions for the fields, including the extended Peach–Koehler force, due to some useful dislocation segments such as straight line and elliptic arc. The present solutions contain the piezoelectric, piezomagnetic and purely elastic solutions as special cases. As numerical examples, the fields induced by a square and an elliptic dislocation loop in MEE bimaterials are studied. Our numerical results show the coupling effects among different fields, along with various interesting features associated with the dislocation and interface.

Keywords:

• three-dimensional dislocation loop
• extended Peach–Koehler force
• bimaterials
• magneto-electro-elastic materials

Acknowledgements

The work was supported by National Natural Science Foundation of China (No. 10872179, 11172273 and 11272052). The first author is also grateful for the support from the China Scholarship Council.