Computation of the linear elastic properties of random porous materials with a wide variety of microstructure

By Anthony P. Roberts, Edward J. Garboczi. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2002

334 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/af878316e064b9626e9c7242907ccf66e018dc48

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In Civil and Structural Engineering

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Generation of 3D representative volume elements for heterogeneous materials: A review (2018, methodology): “Models depending on random fields require two steps: (i) generation of the random field over the domain, and (ii) performing level cuts (single or double [297]) on the generated field.”
Elastic moduli of model random three-dimensional closed-cell cellular solids (2000, background): “It has recently been shown [ 30 ] that the Young’s modulus only varies by around 2% for 0,ns,0.5 indicating that our results are valid for all usual values of the solid Poisson’s ratio.”
3D stochastic bicontinuous microstructures: generation, topology and elasticity (2018, methodology): “We bring to the reader's attention an alternative scaling law, suggested by Roberts and Garboczi [25], which accounts for the transition and remains accurate over a wide range of solid volume fraction.”
Linear elastic properties of 2D and 3D models of porous materials made from elongated objects (2001, background): “In general, there has been some success in using bounds, expansions and effective medium theories to understand the effective properties of composite materials made up from inclusions in a matrix [1, 2].”
Modeling the linear elastic properties of Portland cement paste (2005, background): “A review of the application of this computer program to a wide range of model materials is available [22].”
Digital rock physics benchmarks - part II: Computing effective properties (2013, methodology): “…of the finite-element method, which is a well-established method of numerically computing elastic properties for two-dimensional and three-dimensional images (Roberts and Garboczi, 2002a, 2002b, Garboczi and Berryman, 2001, Meille and Garboczi, 2001, Keehm, 2003, Garboczi et al., 1995).”