Theoretical prediction for effective properties and progressive failure of textile composites: a generalized multi-scale approach

A generalized analytical model is developed to predict progressive failure behavior of several types of textile composites, including plain weave composites, twill weave composites, two-dimensional tri-axially braided composites and warp-reinforced 2.5-dimensional braided composites. In this model, the unit cell (UC) of composite is firstly identified and reconstructed into a refined lamina structure with multiple equivalent lamina elements (ELEs) based on apt geometrical approximation and assumptions. Secondly, two-way coupled stress-strain responses within the UC (macro-scale) and ELE (meso-scale) are established through a universal series-parallel model (SPM). Finally, a progressive damage model, which consists of damage initiation criteria and a stiffness evolution strategy, is employed to predict damage behavior of the ELE. The analytical results including mechanical properties and progressive failure process are validated against the existing numerical and experimental ones in literature. The validated analytical model is then used to study the effects of global fiber volume fraction, braided angle, shear failure coefficient and selected failure criteria on stiffness, strength and failure process. The present results demonstrate the efficiency and generic capability of the present analytical model for predicting the mechanical responses of a range of textile composites.

Automated summary

The developed analytical model can predict the progressive failure behavior of various types of textile composites by reconstructing the unit cell into a refined lamina structure and establishing two-way coupled stress-strain responses. The model's efficiency and versatility are demonstrated through validation results, allowing for the study of the effects of global fiber volume fraction, braided angle, and selected failure criteria on mechanical properties.