一类电磁弹性材料本构关系的欧拉表述
Eulerian formulation of the constitutive relation for an electro-magneto-elastic material class
摘要：
一类新型的电磁弹性（EME）材料包括聚合物基体中的电活性和磁活性颗粒，其随着所施加的电磁场而改变其弹性行为。这种材料类别的材料响应通常用拉格朗日应变张量以及拉格朗日电磁场矢量来表示，并向前推到当前配置。这封信的文章提出了一种新的制定电磁弹性的欧拉应变张量和欧拉电磁场矢量指的是目前的配置。这样的欧拉公式通常从理论和计算的角度来看都是有利的，它避免了向前推进操作以获得当前配置。此外，还说明了从新提出的关系推导现有文献中的EME材料类的本构关系的练习。
英文摘要：
A novel class of electro-magneto-elastic (EME) materials comprise electro-active and magneto-active particles in the polymer matrix that change their elastic behavior with an applied electromagnetic field. The material response for such a material class is usually formulated in terms of Lagrangian strain tensor along with Lagrangian electromagnetic field vectors as pushed forward to the current configuration. This letter article presents a novel formulation of an electro-magneto-elasticity in terms of an Eulerian strain tensor and Eulerian electromagnetic field vectors referring to the current configuration. Such an Eulerian formulation is often favorable from both theoretical and computational standpoints, which avoids the pushed forward operation to get the current configuration. Additionally, an exercise to deduce the constitutive relation for an EME material class available in the existing literature from the newly proposed relation is also illustrated.
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