SDM 2013 student papers competition modeling fiber-matrix splitting failure through a mesh-objective continuum-decohesive finite element method

A new finite element formulation that can seamlessly model the transition from a continuum to a non-continuum (through fracture) is introduced in this paper. In-plane fibermatrix fracture (also referred to as splitting) is frequently observed in tensile failure of fiber reinforced polymer matrix composites (FRPC). This mechanism is modeled through the development of a continuum-decohesive finite element (CDFE) by considering a single lamina. The transition from a continuum to a non-continuum in the CDFE method is modeled directly (physically) without resorting to enrichment of the shape functions of the element, as is done in other methods, such as the variational multiscale cohesive method (VMCM) or through nodal enrichment as in extended finite element method (XFEM). The CDFE is a natural merger between cohesive elements and continuum elements. Predictions using the CDFE method were found to be in very good agreement with corresponding experimental data for open hole tension tests of fiber reinforced lamina.