Fiber deposition models in two and three spatial dimensions

Provatas, Nikolas; Haataja, Mikko; Asikainen, J.; Majaniemi, S.; Alava, Mikko J.; Ala-Nissilä, Tapio

doi:10.1016/s0927-7757(99)00417-3

Cited by 51 publications

(35 citation statements)

References 62 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In fact, Boolean segment processes may serve as models for fiber systems of paper, where the fibers are 'scattered independently and uniformly' in the paper sheet. For example, Deng and Dodson (1994) and Provatas et al (2000) used a Boolean segment processes for modeling fiber deposition. In the following we assume that the length of the segments is exponentially distributed with the parameter α, see Fig.…”

Section: A Geometric Interpretationmentioning

confidence: 99%

“…Instead of a Fourier transform, Scharcanski (2006) uses a wavelet transform to extract a spectral density from the sheet formation. Mathematical modeling of paper structure on a mesoscale can lead to a deeper understanding, e.g., of the phenomenon of formation (Cresson, 1988;Cherkassky, 1998;Antoine, 2000;Gregersen and Niskanen, 2000;Provatas et al, 2000;Sampson, 2009), where the model parameters -so far they can easily be estimated from image dataserve as formation characteristics. Further approaches are based on modeling random structures by Markow Random Fields (MRF) and decomposing the image of the structure into "different scales", evaluating the degree of homogeneity on each scale and computing an overall degree of homogeneity.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Characterization of the Formation of Filter Paper Using the Bartlett Spectrum of the Fiber Structure

et al. 2013

View full text Add to dashboard Cite

The formation index of filter paper is one of the most important characteristics used in industrial quality control. Its estimation is often based on subjective comparison chart rating or, more objective, on the power spectrum of the paper structure observed on a transmission light table. It is shown that paper formation can be modeled by means of Gaussian random fields with a well-defined class of correlation functions, and a formation index which is derived from the density of the Bartlett spectrum estimated from image data: the mean of the Bessel transform of the correlation function taken for wave lengths between 2 and 5 mm. Furthermore, it is shown that a considerable variation of the local grammage can be observed also in cases where the the fibers are uniformly and independently scattered in the paper sheet.

show abstract

Section: A Geometric Interpretationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Characterization of the Formation of Filter Paper Using the Bartlett Spectrum of the Fiber Structure

et al. 2013

View full text Add to dashboard Cite

show abstract

“…Furthermore, the tendency of the fibres on suspension to concentrate around drainage sinks, leading to a smoothing mechanism of the paper sheet is also modelled. These effects are simulated by the particle deposition rule of Provatas and Uesaka [15], which works over the rejection model introduced by Provatas et al in 2000 [16]. The computational simulation can be described as follows (see Fig.…”

Section: Fibre Interactionsmentioning

confidence: 99%

Three dimensional modelling of fibrous materials and experimental validation

Curto¹,

Conceição

Portugal

et al. 2011

Materialwissenschaft Werkst

View full text Add to dashboard Cite

1This article presents a computational model and some simulation results for fibrous materials such as paper. To obtain a better understanding of the influence of fibre properties on the paper structure a novel paper model was developed. This is a physically based model where paper is formed by the sequential deposition of individual fibres. The model intends to capture key papermaking fibre properties like morphology, flexibility, and collapse and process operations such as fibre deposition, network forming or densification. This model is a step forward in transverse paper modelling. In fact, it is a three dimensional model that includes the fibre microstructure, that is, lumen and fibre wall thickness, with a resolution up to 0.05 lm. To test the model validity and predictive capability, laboratory hand sheets were used to study the network formation of an office paper, mainly produced from Eucalyptus globulus bleached Kraft pulp. This paper was characterized via an experimental design that included factors such as raw material and beating degree. The resulting porous structure was characterized and the mechanical performance was assessed. The computational simulation was used to investigate the relative influence of fibre properties such as fibre flexibility, dimensions and collapsibility. The developed multiscale model gave realistic predictions and enabled us to link fibre microstructure and paper properties.Keywords: Three dimension modelling / fibre modelling / cellulosic fibre materials modelling / fibre flexibility and collapsibility / office paper case study / Schlüsselwörter: Dreidimensionale Modellierung / Fasermodellierung / Modellierung zelluloser Fasermaterialien / Flexibilität und Kollabierneigung der Fasern / Untersuchung von Büropapier /

show abstract

“…There exist several stochastic models of fiber-based materials in literature, where in [2,4,5,6,13,20,22,23,24] models are considered which are designed for fiber-based materials consisting of straight fibers. In contrast to these approaches, in [1,10,19] stochastic models are proposed which describe materials consisting of curved fibers.…”

Section: Introductionmentioning

confidence: 99%

“…In [19], another multi-layer model for systems of non-overlapping fibers is introduced. This modeling approach seems to be suitable to describe the structure of woven fiber materials.…”

Section: Introductionmentioning

confidence: 99%

Stochastic 3D modeling of non-woven materials with wet-proofing agent

Gaiselmann

Froning

Tötzke

et al. 2013

International Journal of Hydrogen Energy

View full text Add to dashboard Cite

A novel, realistic 3D model is developed describing the microstructure of nonwoven GDL in PEMFC which consists of strongly curved and non-overlapping fibers. The model is constructed by a two-stage procedure. First we introduce a system of random fibers, where the locations of their midpoints are modeled by a 3D Poisson point process and the fibers themselves by random 3D polygonal tracks which represent single fibers in terms of multivariate time series. Secondly, we transform the random fiber system into a system of non-overlapping fibers using an iterative method leaned on the so-called force-biased algorithm. The model is validated by comparing transport-relevant characteristics computed for experimental 3D synchrotron data, and for realizations sampled from the stochastic microstructure model. Finally, we suggest a model for the spatial distribution of PTFE, a wet-proofing agent often used in non-woven GDL, and combine this PTFE model with our new microstructure model for non-woven GDL.

show abstract

Fiber deposition models in two and three spatial dimensions

Cited by 51 publications

References 62 publications

Characterization of the Formation of Filter Paper Using the Bartlett Spectrum of the Fiber Structure

Characterization of the Formation of Filter Paper Using the Bartlett Spectrum of the Fiber Structure

Three dimensional modelling of fibrous materials and experimental validation

Stochastic 3D modeling of non-woven materials with wet-proofing agent

Contact Info

Product

Resources

About