Eulerian Formulation of the Constitutive Relation for an Electro-Magneto-Elastic Material Class

IF 0.7 4区 材料科学 Q4 MATERIALS SCIENCE, CHARACTERIZATION & TESTING
Deepak Kumar
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引用次数: 0

Abstract

A novel class of electro-magneto-elastic (EME) materials comprises 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 using Lagrangian strain tensor and Lagrangian electromagnetic field vectors as “push forward” to the current configuration. This article presents a novel formulation of an electro-magnetoelasticity 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 “push forward” operation to get the current configuration. 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.

Abstract Image

电磁弹性材料类构造关系的欧拉模型
一类新型的电-磁-弹性(EME)材料由聚合物基体中的电活性和磁活性粒子组成,这些粒子在外加电磁场的作用下会改变其弹性行为。对于这类材料的响应,通常采用拉格朗日应变张量和拉格朗日电磁场矢量来 "向前推动 "当前配置。本文以欧拉应变张量和欧拉电磁场矢量为参考,提出了一种电磁弹性的新表述方法。从理论和计算的角度来看,这种欧拉公式通常是有利的,它避免了为获得当前配置而进行的 "向前推 "操作。此外,还说明了如何根据新提出的关系推导出现有文献中某类 EME 材料的构成关系。
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来源期刊
Strength of Materials
Strength of Materials MATERIALS SCIENCE, CHARACTERIZATION & TESTING-
CiteScore
1.20
自引率
14.30%
发文量
89
审稿时长
6-12 weeks
期刊介绍: Strength of Materials focuses on the strength of materials and structural components subjected to different types of force and thermal loadings, the limiting strength criteria of structures, and the theory of strength of structures. Consideration is given to actual operating conditions, problems of crack resistance and theories of failure, the theory of oscillations of real mechanical systems, and calculations of the stress-strain state of structural components.
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