Compressive Failure of Fiber Composites: A Homogenized, Mesh Independent Model

摘要

Micromechanics models of fiber kinking provide insight into the compressive failure mechanism of fiber reinforced composites, but are computationally inefficient in capturing the progressive damage and failure of the material. A homogenized model is desirable for this purpose. Yet, if a proper length scale is not incorporated into the continuum, the resulting implementation becomes mesh dependent when a numerical approach is used for computation. In this paper, a micropolar continuum is discussed and used to characterize the compressive failure of fiber composites dominated by kinking. Kink banding is an instability associated with a snap-back behavior in the load-displacement response, leading to the formation of a finite region of localized deformation. The challenge in modeling this mode of failure is the inherent geometric and matrix material nonlinearity that must be considered. To overcome the mesh dependency of numerical results, a length scale in the continuum model is naturally introduced by modeling the composite as a micropolar continuum. A new approach is introduced to approximate the effective transversely-isotropic micropolar constitutive model of a fiber composite. Using an updated Lagrangian, nonlinear finite element code, previously developed for incorporating the additional rotational degrees of freedom of micropolar theory, the simulation of localized deformation in the continuum model, corresponding to fiber kinking, is demonstrated and it is found to be comparable with the micromechanics simulation results. Most importantly, the elusive kink band width is a natural outcome of the developed model.