Exact solution for elliptical inclusion in magnetoelectroelastic materials

Gang Li, Baolin Wang, Jiecai Han

Research output: Contribution to journalArticlepeer-review


This paper considers the magneto-electro-mechanical coupling between an inclusion and matrix, which are both of magnetoelectroelastic materials. The general cases including the mode I, mode II and mode III are studied. Analytical solutions for an elliptical cylinder inclusion inside an infinite magnetoelectroelastic medium under combined mechanical–electrical–magnetic loadings are formulated via the Stroh formalism. Crack problem is also investigated and the stress, electric and magnetic fields in the vicinity of the crack tip are determined by a complex vector of intensity factors. Various special cases, including an impermeable inclusion, a permeable crack, a rigid and permeable inclusion, a rigid and permeable line inclusion, a permeable cavity, and an impermeable cavity are discussed.
Original languageEnglish
Pages (from-to)419-426
Number of pages8
JournalInternational Journal of Solids and Structures
Issue number3-4
Publication statusPublished - 2010
Externally publishedYes


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