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An Enhanced Dipole Model Based Micro-Macro Description for Constitutive Behavior of MRFs

Chunwei Zhao1,2, Xianghe Peng1,2,3, Jin Huang4, Ning Hu1,5,6
Department of Engineering Mechanics, Chongqing University, Chongqing, China
State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing, China
Corresponding author: Xianghe Peng, Email address:
Chongqing Institute of Automobile, Chongqing University of Technology, Chongqing, China
Department of Mechanical Engineering, Chiba University, Chiba, Japan
Corresponding author: Ning Hu, E-mail address:

Computers, Materials & Continua 2012, 30(3), 219-236.


The validity of the two conventional micro-macro descriptions for MRFs, based respectively on the exact dipole model and the simplified dipole model, is examined with the results obtained with the commercially available finite element (FE) code ANSYS. It is found that although the simplified dipole model can match better the result by FE computation, there is still a marked difference. An enhanced dipole model is then suggested, which takes into account the contribution of the magnetized particles to magnetic field. Making use of a statistical approach and neglecting the interaction between particle chains, a micro-macro approach is developed for the evaluation of the yield shear stress of MRFs. It can take into account the effects of all the main influencing factors, and can well replicate the main characteristics of the constitutive behavior of MRFs. The method and the results presented are significant for the analysis and optimization of the mechanical properties of MRFs, and for the design of high-performance MRFs.


Magnetorheological fluids, finite element simulation, enhanced dipole model, micro-macro constitutive description

Cite This Article

C. . Zhao, X. . Peng, J. . Huang and N. . Hu, "An enhanced dipole model based micro-macro description for constitutive behavior of mrfs," Computers, Materials & Continua, vol. 30, no.3, pp. 219–236, 2012.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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