Processing of fiber architecture data for finite element modeling of 3D woven composites

Abstract An efficient procedure to process the textile simulation data and generate realistic finite element meshes of woven composites is proposed. The textile topology data in point cloud format is used to identify individual yarns, interpolate their cross-sectional contours, and generate smooth yarn surfaces. A robust algorithm to repair possible interpenetrations between yarn surfaces is developed and implemented in MATLAB. A 3D finite element mesh of the unit cell of composite material is generated based on the obtained yarn surfaces. The anisotropic material properties of the constituents are assigned with proper orientations. The procedure is successfully applied to generate four finite element models with 1–10 million degrees of freedom. The models are used to predict effective elastic properties of an orthogonal 3D woven composite. The sensitivity of results to the level of finite element discretization is investigated.

[1]  Z. Bittnar,et al.  Triangulation of 3D Surfaces Recovered from STL Grids , 2004 .

[2]  Z. Hashin,et al.  The Elastic Moduli of Fiber-Reinforced Materials , 1964 .

[3]  Greg Turk,et al.  Simplification and Repair of Polygonal Models Using Volumetric Techniques , 2003, IEEE Trans. Vis. Comput. Graph..

[4]  Tomas Akenine-Möller,et al.  Fast, Minimum Storage Ray-Triangle Intersection , 1997, J. Graphics, GPU, & Game Tools.

[5]  Z. Hashin Analysis of Properties of Fiber Composites With Anisotropic Constituents , 1979 .

[6]  M. Sherburn,et al.  Geometric and mechanical modelling of textiles , 2007 .

[7]  Gabriel Taubin,et al.  The ball-pivoting algorithm for surface reconstruction , 1999, IEEE Transactions on Visualization and Computer Graphics.

[8]  Bryan Cheeseman,et al.  Mechanics of textile composites: Micro-geometry , 2008 .

[9]  Gabriel Taubin,et al.  Curve and surface smoothing without shrinkage , 1995, Proceedings of IEEE International Conference on Computer Vision.

[10]  Modeling of Cure-Induced Residual Stresses in 3D Woven Composites of Different Reinforcement Architectures , 2013 .

[11]  Gabriel Taubin,et al.  A signal processing approach to fair surface design , 1995, SIGGRAPH.

[12]  Petr Krysl,et al.  Parallel explicit finite element solid dynamics with domain decomposition and message passing: dual partitioning scalability , 2001 .

[14]  Igor Tsukrov,et al.  Finite Element Modeling to Predict Cure-Induced Microcracking in Three-Dimensional Woven Composites , 2011 .

[15]  Li Bai,et al.  Fitting 3D garment models onto individual human models , 2010, Comput. Graph..

[16]  Liyong Tong,et al.  3D Fibre Reinforced Polymer Composites , 2002 .

[17]  Xinwei Wang,et al.  On selection of repeated unit cell model and application of unified periodic boundary conditions in micro-mechanical analysis of composites , 2006 .

[18]  A. E. Bogdanovich,et al.  Multi-scale modeling, stress and failure analyses of 3-D woven composites , 2006 .

[19]  Tomas Akenine-Möller,et al.  Fast, Minimum Storage Ray-Triangle Intersection , 1997, J. Graphics, GPU, & Game Tools.

[20]  Shuguang Li,et al.  General unit cells for micromechanical analyses of unidirectional composites , 2001 .

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

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

[23]  Tony Lindeberg,et al.  Scale-Space for Discrete Signals , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[24]  Louise P. Brown,et al.  Modelling and Simulating Textile Structures Using TexGen , 2011 .

[25]  Michael M. Kazhdan,et al.  Poisson surface reconstruction , 2006, SGP '06.

[26]  D. Rypl,et al.  Triangulation of 3D surfaces reconstructed by interpolating subdivision , 2004 .

[27]  W. Brekelmans,et al.  Overall behaviour of heterogeneous elastoviscoplastic materials: effect of microstructural modelling , 2000 .

[29]  Brian N. Cox,et al.  Generating virtual textile composite specimens using statistical data from micro-computed tomography: 3D tow representations , 2012 .

[30]  Richard Schapery Thermal Expansion Coefficients of Composite Materials Based on Energy Principles , 1968 .

[31]  Guangming Zhou,et al.  Multi-chain digital element analysis in textile mechanics , 2004 .

[32]  Xuekun Sun,et al.  Digital-element simulation of textile processes , 2001 .

[33]  T. Bulow Spherical diffusion for 3D surface smoothing , 2002, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[35]  F. Ellyin,et al.  A unified periodical boundary conditions for representative volume elements of composites and applications , 2003 .