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• W3014852755 abstract "This work focuses on computational methods for generating planar random networks composed of long fibres and on their effect on the ‘randomness’, defined in terms of homogeneous fibre density and isotropic fibre orientation distribution. The common procedure for generating planar networks is based on distributing points uniformly and using them as seeds for the placement of fibres with random orientation. Here, an analytical framework is introduced and used to investigate this method with respect to its capability to generate random networks of straight fibres. The study reveals that inhomogeneous and anisotropic networks are obtained if the seeding domain and network domain of interest coincide. More generally, it is shown that a non-circular domain of any size will lead to an anisotropic network. Therefore, the use of a circular seeding domain is suggested so that the errors in homogeneity and isotropy converge to zero with increasing seeding size. Monte Carlo simulations verified the analytic results and further validated the proposed extended circular seeding algorithm for highly tortuous fibres. Since network generation stands at the beginning of the simulation process, the results of this study have relevance for all discrete computational approaches to modelling materials with long fibre network structure." @default.
• W3014852755 created "2020-04-10" @default.
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• W3014852755 date "2020-03-30" @default.
• W3014852755 modified "2023-10-16" @default.
• W3014852755 title "On the homogeneity and isotropy of planar long fibre network computational models" @default.
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• W3014852755 doi "https://doi.org/10.1007/s42452-020-2524-7" @default.
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