249 citations · 483 across the 13 of their papers we have counts for
6 papers · 1 filter
Design of three dimensional isotropic microstructures for maximized stiffness and conductivity
V. J. Challis, A. P. Roberts, A. H. Wilkins
The level-set method of topology optimization is used to design isotropic two-phase periodic multifunctional composites in three dimensions. One phase is stiff and insulating where…
Fracture resistance via topology optimisation
V. J. Challis, A. P. Roberts, A. H. Wilkins
The fracture resistance of structures is optimised using the level-set method. Fracture resistance is assumed to be related to the elastic energy released by a crack propagating in…
Elastic moduli of model random three-dimensional closed-cell cellular solids
Anthony Roberts, Ed Garboczi
Most cellular solids are random materials, while practically all theoretical results are for periodic models. To be able to generate theoretical results for random models, the fini…
Elastic properties of model porous ceramics
Anthony P. Roberts, Edward J. Garboczi
The finite element method (FEM) is used to study the influence of porosity and pore shape on the elastic properties of model porous ceramics. The Young's modulus of each model was…
Transport and Elastic Properties of Fractal Media
Anthony Roberts, Mark Knackstedt
We investigate the influence of fractal structure on material properties. We calculate the statistical correlation functions of fractal media defined by level-cut Gaussian random f…
Morphology and thermal conductivity of model organic aerogels
Anthony P. Roberts
The intersection volume of two independent 2-level cut Gaussian random fields is proposed to model the open-cell microstructure of organic aerogels. The experimentally measured X-r…