Multi-scale approach-based constitutive modeling and non-linear viscoelastic-damage evolution in plain woven textile composite

A multi-scale constitutive modeling and progressive damage analysis of plain woven textile composite (PWTC) is performed in the present work. A novel equivalent PWTC lamina (EPWL) model of representative volume element of PWTC material is proposed consisting of warp, fill, and pure viscoelastic matrix layers. A novel homogenization technique, based on 2-phase approach, is developed applying Mori-Tanaka (MT) theory for the warp and fill plies within EPWL model followed by MT theory applied on EPWL model. The proposed multi-scale homogenization approach is finally validated against the in-house experiments and various other experimental results presented in the literature. The progressive failure analysis, through macro-scale homogenization of PWTC material, is performed proposing a novel macro-scale algorithmic tangent modulus. PWTC material representative volume is envisaged at each Gauss point thus eliminating any need of an explicit micro-scale material modeling. The correctness of proposed tangent modulus is successfully demonstrated by presenting its implementation results, for several boundary value problems, employing (in-house developed) non-linear plane strain finite element framework.