EXTENDED FINITE ELEMENT METHOD FOR TWO-DIMENSIONAL CRACK MODELING
G. Jovičić, M. Živković, N. Jovičić (UDC: 539.42:519.673)
Abstract
An extended finite element method (X-FEM) for two-dimensional crack modelling is described
in this paper. For the crack calculation, a discontinuous function and the asymptotic crack-tip
displacement fields are added to the finite element approximation using the concept Partition of
Unity (PU). This enables the domain to be modelled by finite elements with no explicit meshing
of the crack faces. Computational geometry issues associated with the representation of the
crack and the enrichment of the finite element approximation are discussed. The presented
Stress Intensity Factors (SIFs) for crack is in a good agreement with benchmark solutions. For
calculation of the SIFs, we used the J-Equivalent Domain Integral (J-EDI) method.
