Micro/meso-scale damage analysis of three-dimensional orthogonal woven composites based on sub-repeating unit cells

Abstract

The mechanical responses including damage mechanisms for surface and interior parts of three-dimensional orthogonal woven composite have been analyzed by the multi-scale finite element method. Based on fabric architecture and fiber volume fraction in the three-dimensional orthogonal woven composite, the meso-scale repeating unit cells model and micro-scale repeating unit cell model are established. The periodic boundary conditions are applied to the micro-repeating unit cell and meso-repeating unit cell models. Appropriate failure criteria and a post-damage constitutive model are used to simulate the failures of fiber/fiber-bundles and resin in the micro/meso-scale repeating unit cells. A new elastic material model with damage propagation is defined with the user-defined material subroutine in commercial finite element software package ABAQUS/Standard. Mechanical behaviors including initiation and propagation of damage in micro/meso repeating unit cells under different loadings have been simulated with the user-defined material subroutine and the ABAQUS/Standard. The simulation results are compared with the experimental observations and they are in good agreement.

Micro-mechanics based damage mechanics for 3D orthogonal woven composites: Experiment and numerical modelling

“…8b) with approximate dimensions of 5 x 5 mm. The periodicity of the weaving pattern makes it useful for the modelling and simulation to be verified against the DIC strain contours in case the asymptotic expansion homogenisation "periodical homogenisation" is implemented [4,5,22,23].…”

“…Moving on to some of the models that used CDM for 3DOWC, multi-scale finite element model is introduced by Jiaet al [4]. In this model, asymptotic expansion homogenisationis carried out on both the micro and meso-scale RVEs in order to evaluate first the elastic material properties.…”

“…Once a failure criterion is met, either knock down factors areintroduced [3,4,[8][9][10][11]or penalty degradation function is defined [7,12]. In these two approaches, fitting parameters/ modelling variables are defined to fit the experimental results obtained.…”

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

“…When the coordinate system origin is placed in the center of gravity of the cell, the additional geometrical contribution involving the coefficients 11 22 , C C and 33 C vanishes [43]; note that the obtained nonclassical moduli do not depend on the absolute position of the center of the axis coordinates, so one shall ideally compute those moduli with an origin of coordinates that coincide with the center of gravity of the unit cell.…”

“…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.…”