Crack Propagation Modeling Using the Extended Isogeometric Analysis Technique

In this work, we implemented the extended isogeometric method for cracked structures in 2D. In order to approximate, the displacement fields we have worked with interpolation functions that are based on Non-Uniform Rational B-spline (NURBS). The traditional approximations used in the isogeometric method are extended by the insertion of enrichment functions, which are capable of capturing discontinuities and singularities in the crack tip. This method allows modeling the cracks without being in conformity with a given mesh. For the purpose of showing the ability to model cracks by this method, the result obtained by the extended isogeometric method is compared with the XFEM method.