Elastic moduli of model random three-dimensional closed-cell cellular solids

By A. Roberts, Edward J. Garboczi. 2000

484 citations recorded by the source corpus.

Most cellular solids are random materials, while practically all theoretical structure-property results are for periodic models. To be able to generate theoretical results for random models, the finite element method (FEM) was used to study the elastic properties of solids with a closed-cell cellular structure. We have computed the density (rho) and microstructure dependence of the Young's modulus (E) and Poisson's ratio (PR) for several different isotropic random models based on Voronoi tessellations and level-cut Gaussian random fields. The effect of partially open cells is also considered. The results, which are best described by a power law E infinity rho (n) (1<n<2), show the influence of randomness and isotropy on the properties of closed-cell cellular materials, and are found to be in good agreement with experimental data. (C) 2001 Acta Materialia Inc. Published by Elsevier Science Ltd. All rights reserved.

Subfields: Computational Theory and Mathematics, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/c37b31b36733d70962b19cb9ded65fb25d26ab4a

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In Computational Theory and Mathematics

In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

Three-dimensional modeling of the mechanical property of linearly elastic open cell foams (2005, background): “So far, most available studies on three-dimensional Voronoi foams have been limited to investigating their elastic behavior (Kraynik et al., 1997; Shulmeister et al., 1998; Roberts and Garboczi, 2001, 2002; Zhu et al., 2000; Zhu and Windle, 2002).”
Determination of the size of the representative volume element for random composites: statistical and numerical approach (2003, methodology): “Examples of microstructural dependence of Young s modulus and Poisson s ratio, computed via the finite element method, can be found in Roberts and Garboczi (2001) and Meille and Garboczi (2001).”
Dynamic compressive behaviour of cellular materials: A review of phenomenon, mechanism and modelling (2018, unknown): “The classical unit cell model oversimplifies the cell geometry which may play important roles in the macroscopic material properties [28-33, 36, 37, 40, 41, 227, 228].”
Numerical investigation on mechanical properties of cellular lattice structures fabricated by fused deposition modeling (2014, methodology): “Using these models, several attempts were performed to study the microstructural imperfections of porous materials such as irregular cells in shape and size [13–15], non-uniform pore's walls [12,21], curvy and wavy pore's walls [22,23], and microstructural defects [24,25].”