An XFEM/CZM based inverse method for identification of composite failure parameters

Abstract

An experimental–numerical methodology for identification of mode I failure parameters, namely the critical strain energy release rate (GIc) and the strength (σc) of unidirectional carbon/epoxy composite is proposed. Using an inverse procedure, the experimental results of a double cantilever beam (DCB) test are used in conjunction with a counterpart extended finite element method (XFEM) cohesive zone model (CZM). In the developed numerical model, the notch and the crack path are located and enriched implicitly by a level set function and the crack propagation is controlled by a bi-linear cohesive law. The cost function accounts for the error between the numerical and the experimental results, and it is minimised in a least squares sense by updating the values of the two independent parameters. The determined critical strain energy release rate is then compared with the one obtained using the corrected beam theory (CBT), and the identified strength is compared with the one estimated experimentally. Globally, the results are very well in agreement and the proposed methodology seems to be efficient to determine accurately the composite failure parameters.