2016/12/29 by Vladimir Salnikov, Salnikov, Vladimir, Daniel Choi +3
Engineering · #Acoustic Wave Phenomena Research #Composite Material Mechanics #Computational Engineering #FOS: Computer and information sciences #FOS: Physical sciences #Finance #Material Properties and Processing #Materials Science (cond-mat.mtrl-sci) #and Science (cs.CE)
paper · pdf · doi:10.48550/arxiv.1612.09262
openalex publication_date 2016/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work we continue the investigation of different approaches to\nconception and modeling of composite materials. The global method we focus on,\nis called 'stochastic homogenization'. In this approach, the classical\ndeterministic homogenization techniques and procedures are used to compute the\nmacroscopic parameters of a composite starting from its microscopic properties.\nThe stochastic part is due to averaging over some series of samples, and the\nfact that these samples fit into the concept of RVE (Representative Volume\nElement) in order to reduce the variance effect.\n In this article, we present a novel method for computation of effective\nelectric properties of composites -- it is based on the analysis of the\nconnectivity graph (and the respective adjacency matrix) for each sample of a\ncomposite material. We describe how this matrix is constructed in order to take\ninto account complex microscopic geometry. We also explain what we mean by\nhomogenization procedure for electrical conductivity, and how the constructed\nmatrix is related to the problem. The developed method is applied to a test\nstudy of the influence of micromorphology of composites materials on their\nconductivity.\n