On automation of XFEM computations considering general shapes of cracks in terms of the stress analysis of spatial structures

摘要

This paper pays attention to the automation of basic linear analysis of structures compound from brittle or quasi-brittle materials using the extended finite element method (XFEM) with extrinsic enrichment functions in the form of signed distances, useful in the numerical analysis of crack propagation problems. The basic approaches to numerical quadrature, needed in the finite element analysis with crack interfaces, are sketched. Consequently an illustrative numerical example, using the phantom node technique, is demonstrated. All relevant algorithms have been implemented into the RFEM software package and seem to produce results in good agreement with experiments. Their further development is needed, to handle more complicated physical and mathematical problems.