Nonlinear magnetoelastic deformations of porous solids
A magnetoactive porous solid comprises a porous polymer matrix with embedded magnetizable particles. The connected porous space of the polymer matrix is filled with a fluid. Under externally applied magnetic fields, the magnetoactive porous solid can undergo large deformations in the elastic regime, triggering diffusive flow in the interconnected pores. The coupled hydromagnetomechanical behavior of such materials has recently received considerable attention. In this paper, the effective stress principle is applied to the constitutive modeling of the material at finite strains. In contrast to previous works, the Lagrangian porosity is no longer treated as an independent constitutive variable in the proposed formulation. To investigate the effect of the magnetic field on the mechanical response of the material, as well as to illustrate the theory, the problem of inflation of a circular cylindrical tube in the presence of a uniform axial magnetic field is formulated and solved. Computational results are presented graphically.