Stochastic simulation of woven composites forming

Efficient stochastic simulation approach for RTM process with random fibrous permeability

“…acquired from image analysis or other measurements, realizations of permeability field can be obtained by means of numerical or analytical methods based on representative unit cell of the fabric structure. Then, optimization algorithms [11,12] can be applied to fit the experimental realizations into Eq. (4) to estimate , …”

“…Although studies have been performed on the probabilistic characterization of the random transport properties of fibrous media [2][3][4], the random effects are usually neglected in the available optimization or on-line control schemes [5][6][7] which employ common simulation softwares for mold filling. Available stochastic studies in the RTM context [8][9][10][11][12] mostly depend on the Monte Carlo simulation (MCS), which is computationally expensive for a fast uncertainty analysis or to be combined with other algorithms for optimization or sensitivity analysis.…”

“…2 Stochastic simulation approach for mold filling process 2.1 Dimension reduction for the stochastic system 3 As fiber reinforcement permeability is function of local architectural parameters such as fiber volume fraction and fiber tow orientation [3,4,10,12], it can be described by a random field ( ) , K x ω with as a variable in the random space. For this application,…”

Multiscale modeling of combined deterministic and stochastic fabric non-uniformity for realistic resin injection simulation

“…Forming of a fabric showing this type of behaviour was simulated by Skordos and Sutcliffe, who modeled a bidirectional fabric with stochastic geometrical parameters and then calculated local deformation employing a non-linear finite element method. 13 This approach reproduces the behaviour of the fabric accurately, but implies a complex and computationally expensive solution procedure.…”

“…Its dependence on the aspect ratio 2R e /h of elliptical yarns (Fig. 6) (26) Equation (24) allows the axial permeability of a gap between two yarns with elliptical cross-section to be approximated analytically, which can be used to estimate the axial layer permeability according to equation (13). Since it proves difficult to determine the transverse permeability of a layer of elliptical yarns, the cross-sections are converted to equivalent rectangular shapes (Fig.…”