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Experiments and Numerical Implementation of a Boundary Value Problem Involving a Magnetorheological Elastomer Layer Subjected to a Nonuniform Magnetic Field

Dorn, Charles and Bodelot, Laurence and Danas, Kostas (2021) Experiments and Numerical Implementation of a Boundary Value Problem Involving a Magnetorheological Elastomer Layer Subjected to a Nonuniform Magnetic Field. Journal of Applied Mechanics, 88 (7). Art. No. 071004. ISSN 0021-8936. doi:10.1115/1.4050534.

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This study investigates experimentally and numerically the response of a magnetorheological elastomer (MRE) layer placed atop an electromagnetic coil. The MRE layer is deflected upon application of a current in the coil, which creates highly nonuniform magnetic fields. Isotropic and transversely isotropic layers (i.e., containing chains of magnetic particles) are tested experimentally, and the isotropic layer exhibits the largest deflection. To enhance the energetic efficiency of the model device, an iron core is introduced inside the electromagnetic coil, thereby leading to an increase in the resulting magnetic field near the center of the MRE layer. In parallel, the boundary value problem —including the MRE layer, the coil, the core (if present) and the surrounding air—is modeled numerically. For this, a magneto-mechanical, vector potential-based variational formulation is implemented in a standard three-dimensional finite element model at finite strains. For the material description, a recently proposed analytical homogenization-guided model is used to analyze the MRE in the “coil-only” configuration. It is then employed to predict the response of the layer in the “coil plus core” configuration, thus circumventing the need for a separate material characterization procedure. The proposed numerical simulation strategy provides a deeper understanding of the underlying complexity of the magnetic fields and of their interaction with the MRE layer. This study also reveals the importance of modeling the entire setup for predicting the response of MRE materials and, as a result, constitutes a step toward designing more efficient MRE-based devices.

Item Type:Article
Related URLs:
URLURL TypeDescription
Dorn, Charles0000-0001-6516-2586
Bodelot, Laurence0000-0001-7482-7463
Danas, Kostas0000-0002-1177-5149
Additional Information:© 2021 by ASME. Manuscript received January 28, 2021; final manuscript received March 11, 2021; published online April 7, 2021. The authors acknowledge Tobias Pössinger for designing the coil used in the study and constructive discussions with Professor N. Triantafyllidis. K.D. acknowledges the support from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant No. 636903 – MAGNETO). The computational part of this work was supported by the ANR, France, under contract number ANR-10-EQPX-37 and the code developed for the numerical simulations in this work is available in Ref. [53]. The work of C.D. was initially supported by the Ecole Polytechnique and its Foundation during AY 2017–2018 through the dual MS program with Caltech and subsequently by the Solid Mechanics Laboratory (LMS) of the Ecole. There are no conflicts of interest. Data Availability Statement: The datasets generated and supporting the findings of this article are obtainable from the corresponding author upon reasonable request. The data and information that support the findings of this article are freely available at: The authors attest that all data for this study are included in the paper. Data provided by a third party listed in Acknowledgment.
Funding AgencyGrant Number
European Research Council (ERC)636903
Agence Nationale pour la Recherche (ANR)ANR-10-EQPX-37
Ecole PolytechniqueUNSPECIFIED
Subject Keywords:computational mechanics, mechanical properties of materials, micromechanics, structures
Issue or Number:7
Record Number:CaltechAUTHORS:20210511-100521000
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Official Citation:Dorn, C., Bodelot, L., and Danas, K. (April 7, 2021). "Experiments and Numerical Implementation of a Boundary Value Problem Involving a Magnetorheological Elastomer Layer Subjected to a Nonuniform Magnetic Field." ASME. J. Appl. Mech. July 2021; 88(7): 071004.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:109076
Deposited By: Tony Diaz
Deposited On:12 May 2021 16:42
Last Modified:12 May 2021 16:42

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