On eshelbys s-tensor under various magneto-electro-elastic constitutive settings, and its application to multiferroic composites

Yang Wang, George J. Weng

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

The magneto-electro-elastic Eshelby S-tensor is the key to the study of linear effective properties of magneto-electro-elastic composites. There are eight different ways to write the constitutive relations, and each is associated with a specific kind of boundary condition and Eshelby S-tensor. In this work, we provide a general procedure to convert the magneto-electro-elastic Eshelby S-tensor from one system to another. As an application, we use it to calculate the magnetoelectric coupling coefficients of a piezoelectric-piezomagnetic multiferroic composite under stress- and strain-prescribed boundary conditions. We demonstrate that the calculated results are significantly different. In particular, it is shown that, under an applied stress, the magnetoelectric coupling coefficient a33, is much stronger than that under an applied strain, while for an, the values are positive under a prescribed stress but negative under a prescribed strain. The effects of inclusion shape, volume concentration and geometrical exchange, are also examined. For ready applications, the explicit forms of S-tensor, a33 and an, of 1-3 fibrous and 2-2 multilayer composites are also provided at the end.

Original languageEnglish (US)
Article number16400038
JournalJournal of Micromechanics and Molecular Physics
Volume1
Issue number3-4
DOIs
StatePublished - Oct 2016
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Ceramics and Composites
  • Polymers and Plastics
  • Atomic and Molecular Physics, and Optics
  • Mechanics of Materials

Keywords

  • Eshelby S-tensor
  • Magneto-electro-elastic materials
  • Multiferroic composites
  • Stress- and strain-prescribed boundary conditions

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