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基于内变量理论的电流变液本构关系

王彪 肖忠民

应用数学和力学2001,Vol.22Issue(2):167-181,15.
应用数学和力学2001,Vol.22Issue(2):167-181,15.

基于内变量理论的电流变液本构关系

General Constitutive Equation of an ER Suspension Based on the Internal Variable Theory

王彪 1肖忠民2

作者信息

  • 1. 哈尔滨工业大学 复合材料研究所,
  • 2. 南洋理工大学 机械与生产学院,南洋大道,
  • 折叠

摘要

Abstract

A microstructural constitutive theory of ER suspensions was formulated in this investigation. The framework was based on the internal variable theory and the mechanism analysis. The ER suspension consists of fine particles with high dielectric constant and the supporting fluid. Under the action of the electric field, the polarized particles will aggregate together to form the chain_like structures along the direction of the electric field. As the size and orientation of the particle aggregates are volatile, and they adjust according to the applied electric field and strain rate, the energy conservation equation and the force equilibrium equation were thus established to determine the orientation and size of the aggregates. Following that, a three_dimensional, explicit form of the constitutive equation was derived based on the interaction energy and the dissipation function of the system. The response of the system under the action of a simple shearing load was considered and discussed in detail. It is found that the shear_thinning viscosity of an ER suspension is well approximated by the power_law ∝(Mn)-0.82.

关键词

电流变液/内变量理论/本构关系

分类

通用工业技术

引用本文复制引用

王彪,肖忠民..基于内变量理论的电流变液本构关系[J].应用数学和力学,2001,22(2):167-181,15.

应用数学和力学

OA北大核心CSCD

1000-0887

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