Elastic properties of model random three-dimensional open-cell solids

By A. Roberts, Edward J. Garboczi. 2002

447 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanical Engineering, Polymers and Plastics

View Paper: https://www.semanticscholar.org/paper/207d5b1b4e25d02f3f8361be110e766f6960e350

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In Materials Chemistry

In Mechanical Engineering

In Polymers and Plastics

Citations in the corpus

Nature’s hierarchical materials (2007, background): “Classical theoretical models to produce random cellular solids use Voronoi tessellations or level-cut Gaussian random fields [16,106].”
Linear elastic properties of 2D and 3D models of porous materials made from elongated objects (2001, background): “In any microstructure model of a random material, there are always two sources of error: statistical fluctuation and finite size effect [1, 15].”
Mechanical properties of open-cell metallic biomaterials manufactured using additive manufacturing (2013, unknown): “Roberts and Garboczi [19] showed that the Young’s modulus of open-cell materials with truncated octahedron unit cells is related to the Young’s modulus of the matrix material as:”
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).”
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].”
New Developments of Ti-Based Alloys for Biomedical Applications (2014, background): “consider more realistic structures, such as randomly generated porous material [183,186].”