polymer paper

An efficient multiscale model of damping properties for filled elastomers with complex microstructures John A. Moore a , Ruizhe Ma a , August G. Domel a , Wing Kam Liu, a,1,∗ a Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208-3111, USA Abstract This work proposes an efficient framework for prediction of filled elastomer damping properties based on image d micro struc tures . The efficiency of this method stems from a hierar chic al multiscale modeling scheme, in which the constitutive response of subcell regions, smaller than a repre- sentative volume element (RVE), are determined using micromechanics; the resulting constitutive parameters then act as inputs to finite element simulations of the RVE. It is shown that the micromechanics models of Halpin-Tsai and Mori-Tanaka are insufficient for modeling subcells with many filler clusters, and thus these models are augmented by an additional interaction term, based on stress concentration factors. The multiscale framework is verified in two dimensions and extended to predictions for three dimensional systems, which include the response of matrix-filler interphase properties. The proposed multiscale framework shows a significant improvement in computational speed over direct numerical simulations using finite element analysis, and thus the proposed framework allows for detailed parametric studies of microstructural properties to aid in the design of filled elastomeric systems. Keywords: A. Particle-reinforcement, B. Mechanical properties, C. Micro-me chanics, C. Computational modeling, Imaged-based modeling ∗ Corresponding author Email address: [email protected] (Wing Kam Liu,) 1 Adjunct Professor under the Distinguished Scientists Program Committee at King Abdulaziz University (KAU), Jeddah, Saudi Arabia Preprint submitted to Composites Part B: Engineering November 3, 2013

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