This paper introduces an efficient and simple method to automatically generate and mesh geometrically parametrized representative volume elements for plain woven fiber-reinforced composites. The presented approach is capable of generating representative volume elements with 10%–55% fiber volume fraction. The practical feasibility of the model is demonstrated on numerical examples for isotropic and anisotropic tow materials which are compared to analytical solutions.
HivetGBoisseP. Consistent 3D geometrical model of fabric elementary cell. Application to a meshing preprocessor for 3D finite element analysis. Finite Elem Anal Des2005; 42: 25–49.
LomovSIvanovDVerpoestIet al.Meso-FE modelling of textile composites: road map, data flow and algorithms. Compos Sci Technol2007; 67: 1870–1891.
17.
IshikawaTChouT-W. Stiffness and strength behaviour of woven fabric composites. J Mater Sci1982; 17: 3211–3220.
18.
NaikNKGaneshVK. An analytical method for plain weave fabric composites. Composites1995; 26: 281–289.
19.
LinHZengXSherburnMet al.Automated geometric modelling of textile structures. Text Res J2012; 82: 1689–1702.
20.
HaMHCauvinLRassineuxA. A methodology to mesh mesoscopic representative volume element of 3D interlock woven composites impregnated with resin. Comptes Rendus Mécanique2016; 344: 267–283.
21.
SchneiderKKlusemannBBargmannS. Automatic three-dimensional geometry and mesh generation of periodic representative volume elements for matrix-inclusion composites. Adv Eng Softw2016; 99: 177–188.
22.
SchneiderKKlusemannBBargmannS. Fully periodic RVEs for technological relevant composites: not worth the effort!. J Mech Mater Struct2017; 12: 471–484.
23.
SevenoisRDBGarozDGilabertFAet al.Avoiding interpenetrations and the importance of nesting in analytic geometry construction for representative unit cells of woven composite laminates. Compos Sci Technol2016; 136: 119–132.
24.
Chen X. Advanced fibrous composite materials for ballistic protection, volume no. 66 of Woodhead Publishing series in composites science and engineering. United Kingdom: Elsevier Ltd, 2016.
25.
BednarcykBAStierBSimonJ-Wet al.Meso-and micro-scale modeling of damage in plain weave composites. Compos Struct2015; 121: 258–270.
26.
Gross D and Seelig T. Bruchmechanik: mit einer Einführung in die Mikromechanik. 5 edn. Berlin, Heidelberg: Springer-Verlag Berlin, 2011.
27.
BayukIOGayJKHooperJMet al.Upper and lower stiffness bounds for porous anisotropic rocks. Geophys J Int2008; 175: 1309–1320.
28.
Swantje Bargmann, Benjamin Klusemann, Jürgen Markmann, Jan Eike Schnabel, Konrad Schneider, Celal Soyarslan, Jana Wilmers, Generation of 3D representative volume elements for heterogeneous materials: a review, Progress in Materials Science, 2018.