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.

磁活性多孔固体包括具有嵌入的可磁化颗粒的多孔聚合物基质。聚合物基质的连接的多孔空间充满流体。在外部施加的磁场下，磁活性多孔固体会在弹性状态下发生大变形，从而在相互连接的孔中触发扩散流。这种材料的耦合水磁力学行为近来受到了相当大的关注。本文将有效应力原理应用于材料在有限应变下的本构模型。与以前的工作相反，拉格朗日孔隙度在拟议的配方中不再被视为独立的本构变量。为了研究磁场对材料机械响应的影响，并举例说明理论，提出并解决了在均匀的轴向磁场作用下圆柱管膨胀的问题。计算结果以图形方式显示。