  A novel class of electro-magneto-elastic (EME) materials comprise
electro-active and magneto-active particles in the polymer matrix that change
their elastic behavior with an applied electromagnetic field. The material
response for such a material class is usually formulated in terms of Lagrangian
strain tensor along with Lagrangian electromagnetic field vectors as pushed
forward to the current configuration. This letter article presents a novel
formulation of an electro-magneto-elasticity in terms of an Eulerian strain
tensor and Eulerian electromagnetic field vectors referring to the current
configuration. Such an Eulerian formulation is often favorable from both
theoretical and computational standpoints, which avoids the pushed forward
operation to get the current configuration. Additionally, an exercise to deduce
the constitutive relation for an EME material class available in the existing
literature from the newly proposed relation is also illustrated.
