A thermodynamically consistent formulation of magnetoporoelasticity

The dynamical theory of a porous\ elastic\ and magnetically inert solid body in_ltrated by a ferromagnetic liquid is formulated[ This type of magnetoporoelastic material opens a wide range of technical applications\ such as controlled vibration dampers\ sensors\ and adaptive mirrors[ The irreversible deformation and nonlinear coupling among the solid elastic\ ~uid rheological\ and magnetic e}ects is derived based on the Biot Frenkel theory with thermodynamic considerations[ The thermal e}ect\ however\ is not considered in this paper[ A linearized version of constitutive equations