New sets of spectral invariants for electro-elastic bodies with one and two families of fibres

• Spectral invariants are proposed for electro elastic bodies with fibres.
• Some simple boundary value problems are solved.
• The new invariants are compared with the invariants of Spencer.

New sets of spectral invariants are proposed to study the behaviour of electro-elastic bodies composed of a matrix filled with one or two (in general non-orthogonal) families of ‘fibres’, where both the matrix and the fibres can react to the presence of electric fields.