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4 June 1999 Dynamic simulations and nonlinear homogenization study for magnetorheological fluids
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We first present a summary of results obtained with a numerical code to perform particle dynamics simulations of magnetorheological (MR) fluids upon application of an external magnetic field. These simulations, for the first time, account fully for all linear (long-range) magnetic interactions and are made feasible by recent developments of the Fast Multipole Method. In addition, we present some numerical and theoretical studies for the overall magnetic response in MR fluids based on nonlinear homogenization theory. We show that these results can be effectively used to study a number of experimental findings such as effective magnetic permeabilities (from the linear through saturation regimes) and response time scales, all of which are of crucial importance in the design of MR fluids.
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H. Thomas Banks, Kazufumi Ito, Mark R. Jolly, Hung V. Ly, Fernando L. Reitich, and Tammy M. Simon "Dynamic simulations and nonlinear homogenization study for magnetorheological fluids", Proc. SPIE 3667, Smart Structures and Materials 1999: Mathematics and Control in Smart Structures, (4 June 1999);

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