Permeability of textile reinforcements: Simulation, influence of shear and validation

The permeability of textile reinforcements is a crucial input for the simulation of the impregnation stage of a composite material fabrication process. In this paper, we present a fast and accurate simulation method for the permeability of a textile reinforcement, based on a finite difference discretisation of the Stokes equations. Results for single layer, multi-layer and sheared models are discussed. The influence of intra-yarn flow and periodic or wall boundary conditions are considered. We compare the numerically computed permeability values with experimental data.

[1]  Stepan Vladimirovitch Lomov,et al.  Permeability of the woven fabric , 2006 .

[2]  Ignace Verpoest,et al.  Nesting in textile laminates: geometrical modelling of the laminate , 2003 .

[3]  Ignace Verpoest,et al.  Meso-FE modelling of textile composites: Road map, data flow and algorithms , 2007 .

[4]  Howard C. Elman,et al.  Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics , 2014 .

[5]  Andrew C. Long,et al.  Comparisons of novel and efficient approaches for permeability prediction based on the fabric architecture , 2006 .

[6]  Stepan Vladimirovitch Lomov,et al.  Permeability of the woven fabrics , 2006 .

[7]  Dirk Roose,et al.  Computation of Permeability of Textile with Experimental Validation for Monofilament and Non Crimp Fabrics , 2007, Computational Textile.

[8]  Frederick R. Phelan,et al.  Analysis of transverse flow in aligned fibrous porous media , 1996 .

[9]  Stepan Vladimirovitch Lomov,et al.  Model of internal geometry of textile fabrics: Data structure and virtual reality implementation , 2007 .

[10]  I. Verpoest,et al.  Model of shear of woven fabric and parametric description of shear resistance of glass woven reinforcements , 2006 .

[11]  Ignace Verpoest,et al.  Pore network modeling of permeability for textile reinforcements , 2003 .

[12]  S. Lomov,et al.  Stereolithography Specimen to Calibrate Permeability Measurements for RTM Flow Simulations , 2006 .

[13]  Ignace Verpoest,et al.  Virtual textile composites software WiseTex: Integration with micro-mechanical, permeability and structural analysis , 2005 .

[14]  Hugo Sol,et al.  New set-up for measurement of permeability properties of fibrous reinforcements for RTM , 2002 .

[15]  Wen-Bin Young,et al.  Model resin permeation of fiber reinforcements after shear deformation , 1997 .

[16]  Stepan Vladimirovitch Lomov,et al.  Permeability of textile reinforcements: efficient prediction and validation , 2007 .

[17]  Philippe Angot,et al.  Analysis of singular perturbations on the Brinkman problem for fictitious domain models of viscous flows , 1999 .

[18]  Stepan Vladimirovitch Lomov,et al.  Permeability Identification of a Reference Specimen Using an Inverse Method , 2007 .

[19]  Clinton DeW Van Siclen Walker diffusion method for calculation of transport properties of finite composite systems. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  Barry Lee,et al.  Finite elements and fast iterative solvers: with applications in incompressible fluid dynamics , 2006, Math. Comput..

[21]  Alexander L. Berdichevsky,et al.  Preform permeability predictions by self‐consistent method and finite element simulation , 1993 .

[22]  A. Louisa,et al.  コロイド混合体における有効力 空乏引力から集積斥力へ | 文献情報 | J-GLOBAL 科学技術総合リンクセンター , 2002 .

[23]  B. R. Gebart,et al.  Permeability of Unidirectional Reinforcements for RTM , 1992 .

[24]  François Robitaille,et al.  PREDICTIVE MODELLING OF PROCESSING AND PERFORMANCE PROPERTIES OF TEXTILE COMPOSITE UNIT CELLS: CURRENT STATUS AND PERSPECTIVES , 2004 .

[25]  R. Sani,et al.  On pressure boundary conditions for the incompressible Navier‐Stokes equations , 1987 .

[26]  Stepan Vladimirovitch Lomov,et al.  Modelling of permeability of textile reinforcements: lattice Boltzmann method ☆ , 2004 .

[27]  John N. Shadid,et al.  Least Squares Preconditioners for Stabilized Discretizations of the Navier-Stokes Equations , 2007, SIAM J. Sci. Comput..

[28]  Markus Nordlund,et al.  Numerical Study of the Local Permeability of Noncrimp Fabrics , 2005 .

[29]  Naoki Takano,et al.  Microstructure-based evaluation of the influence of woven architecture on permeability by asymptotic homogenization theory , 2002 .

[30]  John N. Shadid,et al.  Block Preconditioners Based on Approximate Commutators , 2005, SIAM J. Sci. Comput..

[31]  Ignace Verpoest,et al.  Predicting the permeability of textile reinforcements via a hybrid Navier-Stokes/Brinkman solver , 2006 .

[32]  H. Brinkman,et al.  On the permeability of media consisting of closely packed porous particles , 1949 .

[33]  Michael Griebel,et al.  Numerical Simulation in Fluid Dynamics: A Practical Introduction , 1997 .