LAUSR

Abstract Electro-magneto-elasticity plays a vital role in the advancement of material science. In line with that in the present paper, we model an electro-magnetostriction phenomenon of smart material based on the theory of electro-magneto-elasticity. We adopt a unified classical continuum mechanics approach to model the electro-magnetostriction phenomenon under large deformation. We drive the constitutive relations followed by the second law of thermodynamics with an amended energy density function. The stress field, electric induction field, and the magnetic induction field are obtained through an amended energy density function. We develop the theoretical models of electrostriction and magnetostriction phenomena including the electrostrictive and magnetostrictive effects, which are generally neglected in the existing literature. Additionally, we propose a new amended energy density function for a class of an incompressible isotropic smart material. Finally, we compare and validate the accuracy of the developed theoretical models with their corresponding experimental data.