大变形弹性固体中的磁声波
On Magnetoacoustic Waves in Finitely Deformed Elastic Solids
摘要：
在本文中，在准静磁近似的背景下，我们研究增量运动叠加在一个静态的有限变形的磁弹性材料中存在的一个施加磁场。显式表达式获得相关的磁声（或磁弹性模量）张量的情况下，不可压缩的各向同性磁弹性材料，然后这些被用来研究增量平面波的传播。的传播条件推导出的广义声学张量和结果示出通过获得明确的公式在两种特殊情况下：第一，当材料未变形，但受到均匀的偏置场和第二磁弹性相互作用的原型模型在有限变形制度。结果提供了一个磁敏弹性体的材料参数的实验测定的基础上，从测量的增量波的速度为不同的预应变，偏置磁场，和传播方向。
英文摘要：
In this paper, in the context of the quasi-magnetostatic approximation, we examine incremental motions superimposed on a static finite deformation of a magnetoelastic material in the presence of an applied magnetic field. Explicit expressions are obtained for the associated magnetoacoustic (or magnetoelastic moduli) tensors in the case of an incompressible isotropic magnetoelastic material, and these are then used to study the propagation of incremental plane waves. The propagation condition is derived in terms of a generalized acoustic tensor and the results are illustrated by obtaining explicit formulas in two special cases: first, when the material is undeformed but subject to a uniform bias field and second for a prototype model of magnetoelastic interactions in the finite deformation regime. The results provide a basis for the experimental determination of the material parameters of a magneto-sensitive elastomer from measurements of the speed of incremental waves for different pre-strains, bias magnetic fields, and directions of propagation.
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