A Theoretical Model for MagnetoMechanical Coupling Behaviors of Magnetorheological Elastomers

LI Xu; WAN Qiang; SHI Ping’an

doi:10.21656/1000-0887.380021

Volume 39 Issue 1

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LI Xu, WAN Qiang, SHI Ping’an. A Theoretical Model for MagnetoMechanical Coupling Behaviors of Magnetorheological Elastomers[J]. Applied Mathematics and Mechanics, 2018, 39(1): 92-103. doi: 10.21656/1000-0887.380021

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A Theoretical Model for MagnetoMechanical Coupling Behaviors of Magnetorheological Elastomers

doi: 10.21656/1000-0887.380021

¹Department of Electronics and Information Engineering, Bozhou College, Bozhou, Anhui 236800, P.R.China;²School of Mathematics & Computer Science, Anhui Normal University, Wuhu, Anhui 241003, P.R.China

Funds: The National Natural Science Foundation of China（11372295）

Received Date: 2017-01-17
Rev Recd Date: 2017-04-03
Publish Date: 2018-01-15

Abstract

Abstract

Based on the magnetic dipole interaction theory, a theoretical model was proposed to describe the magneto-mechanical coupling behaviors of magnetorheological elastomers with the principle of minimum potential energy. In this model, the fully coupled interaction among all particles and chains was considered according to the micro-structure of magnetorheological elastomers. The energy equations of magnetic interaction and the elastic potential energy equations based on the Mooney-Rivlin model were derived respectively. Then a theoretical model was developed to describe the stress-strain relationship of magnetorheological elastomers under uniaxial load. This model agrees well with existing experimental data and can be used to explain the micro-mechanism of magneto-induced stress. The results show that the mechanism of magneto-induced stress is closely related to the inner micro-structure, and the nonlinear property of magneto-induced stress mainly depends on the interaction among both particles and chains.
- magnetorheological elastomer,
- theoretical model,
- magneto-mechanical coupling,
- magneto-induced stress

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References

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