Stress field formulation of linear electro-magneto-elastic materials

A. Amiri-Hezaveh, P. Karimi, M. Ostoja-Starzewski

Research output: Contribution to journalArticle

Abstract

A stress-based approach to the analysis of linear electro-magneto-elastic materials is proposed. Firstly, field equations for linear electro-magneto-elastic solids are given in detail. Next, as a counterpart of coupled governing equations in terms of the displacement field, generalized stress equations of motion for the analysis of three-dimensional (3D) problems Are obtained – they supply a more convenient basis when mechanical boundary conditions are entirely tractions. Then, a sufficient set of conditions for the corresponding solution of generalized stress equations of motion to be unique are detailed in a uniqueness theorem. A numerical passage to obtain the solution of such equations is then given by generalizing a reciprocity theorem in terms of stress for such materials. Finally, as particular cases of the general 3D form, the stress equations of motion for planar problems (plane strain and Generalized plane stress) for transversely isotropic media are formulated.

Original languageEnglish (US)
Pages (from-to)3806-3822
Number of pages17
JournalMathematics and Mechanics of Solids
Volume24
Issue number12
DOIs
StatePublished - Dec 1 2019

Keywords

  • Stress formulation
  • alternative equations of motion
  • elastodynamics
  • electro-magneto-elastic materials

ASJC Scopus subject areas

  • Mathematics(all)
  • Materials Science(all)
  • Mechanics of Materials

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