A framework of defining constitutive model for fibrous composite material through reduced-order-homogenization method with analytical influence functions

Abstract

This paper proposes a new framework of defining an overall constitutive model of the fibrous composite material with separated constitutive models of the fiber and the matrix phases. The framework stems from the first-order reduced-order-homogenization (ROH) method. The ROH method requires a set of influence functions to describe the interaction between material phases, which can be computed by solving a number of finite element problems of the fibrous meso-structure with periodic boundary conditions. This paper proposes an analytical methodology to evaluate the influence tensors. In this way, the overall constitutive model of the fibrous composite material is constructed by analytical influence tensors and stand-alone material models of the fiber and matrix phases, which can represent comprehensive material degradation mechanism at meso-scale. Finally, an example of overall constitutive model is defined and tested, with both fiber and matrix phases are assumed as the isotropic continuum damage model.