We study antiplane problems of saturated ferromagnetoelastic solids. Tiersten’s equations for saturated ferromagnetoelastic insulators under biasing fields are used. For antiplane problems of cubic crystals, coordinate-independent equations for the divergence and curl of the incremental magnetization vector are derived. Trigonometric series solutions for a rectangular body under a static and local mechanical load and the free vibration frequencies and modes of a rectangular body are obtained. The interactions between mechanical and magnetic fields are examined.

中文翻译：

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饱和铁磁弹性固体的反平面问题

我们研究饱和铁磁弹性固体的反平面问题。使用偏置场下饱和铁磁弹性绝缘体的 Tiersten 方程。对于立方晶体的反平面问题，推导了增量磁化矢量的发散度和旋度的与坐标无关的方程。得到了矩形体在静态和局部机械载荷作用下的三角级数解以及矩形体的自由振动频率和模态。检查机械场和磁场之间的相互作用。