A scale-dependent numerical approach is developed through combining the finite element (FE)-based averaging process with the Monte Carlo method to determine the desired size of a characteristic volume element (CVE) for a random magnetoactive composite (MAC) under applied magnetic field and large deformations. Spatially random distribution of identically magnetic inclusions inside a soft homogeneous matrix is considered to find the appropriate size of the characteristic volume element. Monte Carlo method is used to generate ensembles of a randomly distributed magnetoactive composite to be applied in the homogenization study. The ensemble is utilized as a statistical volume element (SVE) in a scale-dependent numerical algorithm to search the desired characteristic volume element size. Results of this study can be used to investigate effective behavior and multiscale modeling of randomly particulate magnetoactive composites.
Characteristic Volume Element for Randomly Particulate Magnetoactive Composites
Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received November 18, 2016; final manuscript received June 1, 2017; published online August 9, 2017. Assoc. Editor: Ghatu Subhash.
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Bayat, A., and Gordaninejad, F. (August 9, 2017). "Characteristic Volume Element for Randomly Particulate Magnetoactive Composites." ASME. J. Eng. Mater. Technol. January 2018; 140(1): 011003. https://doi.org/10.1115/1.4037023
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