Towards a thermo-magneto-mechanical coupling framework for magneto-rheological elastomers

Mehnert M, Mokarram H, Steinmann P (2017)

Publication Type: Journal article

Publication year: 2017


DOI: 10.1016/j.ijsolstr.2017.08.022


Magnetorheological elastomers (MREs) are a relatively new class of smart materials that can undergo large deformations resulting from external magnetic excitation. These are promising candidates in producing sensors and actuators. Due to their inherent chemical compositions, most polymeric materials are highly susceptible to temperature. While performing experiments on MREs that are exposed to magneto-mechanically coupled loads, maintaining a constant temperature profile is a non-trivial task for various reasons, e.g., i) experiments need to be performed in a temperature chamber that can maintain a prescribed temperature throughout a test, and ii) additional temperature gradients can be generated internally. In this paper, a thermo-magneto-mechanically coupled constitutive model is devised that is based on the total energy approach frequently used in MREs modelling and computation. Relevant constitutive equations are derived exploiting basic laws of thermodynamics that result in a thermodynamically consistent formulation. We demonstrate the performance of the proposed thermo-magneto-mechanically coupled framework with the help of a widely-used non-homogeneous boundary value problem, the extension and inflation of an axisymmetric cylindrical tube under thermo-magneto-mechanically coupled loads that is solved analytically. The results capture various thermo-magneto-mechanical couplings with the formulation proposed for MRE.

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How to cite


Mehnert, M., Mokarram, H., & Steinmann, P. (2017). Towards a thermo-magneto-mechanical coupling framework for magneto-rheological elastomers. International Journal of Solids and Structures.


Mehnert, Markus, Hossain Mokarram, and Paul Steinmann. "Towards a thermo-magneto-mechanical coupling framework for magneto-rheological elastomers." International Journal of Solids and Structures (2017).

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