Meshfree modeling and homogenization of 3D orthogonal woven composites

Abstract

In this paper, evaluation of 3D orthogonal woven fabric composite elastic moduli is achieved by applying Meshfree methods on the micromechanical model of the woven composites. A new, realistic and smooth fabric unit cell model of 3D orthogonal woven composite is presented. As an alternative to Finite Element Method, Meshfree Methods show a notable advantage, which is the simplicity in meshing while modelling the matrix and different yarns. Radial basis function and moving kriging interpolation are used for the shape function constructions. The Galerkin method is employed in formulating the discretized system equations. AbstractIn this paper, evaluation of 3D orthogonal woven fabric composite elastic moduli is achieved by applying Meshfree methods on the micromechanical model of the woven composites. A new, realistic and smooth fabric unit cell model of 3D orthogonal woven composite is presented. As an alternative to Finite Element Method, Meshfree Methods show a notable advantage, which is the simplicity in meshing while modelling the matrix and different yarns. Radial basis function and moving kriging interpolation are used for the shape function constructions. The Galerkin method is employed in formulating the discretized system equations. The numerical results are compared with the Finite Element and the experimental results.

Micromechanical Modelling of Textile Composites

“…Wen and Aliabadi [82][83][84][85] applied radial basis functions to the analysis of elastodynamic, functionally graded materials and fracture mechanics problems. This section is based on the works of Wen and Aliabadi [21], and Li et al [34], who presented the first application of the meshfree method to woven composites.…”

“…In addition, the angle of the Z-yarn had to be smooth in order to make the mesh of brick elements. When the angle from the x 3 axis was low, the model was The comparison of elastic mechanical properties obtained from FE analysis [93], meshfree analysis [34] analytical method and experiments [29] for the S-2 glass 93 oz fabric composite are shown in Table 1. 19.…”

“…Here, a more realistic representation of the 3D orthogonal woven fabric model was formulated and implemented into the meshfree method as described in [34]. As the undulations and the cross-sections of yarns are formulated into curved shapes, it is referred to as the smooth fabric model.…”

“…Non-crimp fabric laminates were studied by Heß et al [31] and knitted fabric composites by Huysmans et al [32]. Meshless methods are proving to be very efficient in modelling these complex architectures and behaviours [33,34]. Researchers are also working to combine extended finite element methods (XFEM) with binary modelling to achieve results at a faster rate [35].…”

Numerical identification of classical and nonclassical moduli of 3D woven textiles and analysis of scale effects

“…Numerical models include the representative volume element (RVE) [30,31], the repeated unit cell (RUC) [28,[32][33][34], micromechanics strengths model [35] and other models as reviewed in [36]. These models rely on different simplifications on the fabric architecture and may not be able to accurately describe the local stress distributions at the fiber or yarn scales.…”