Crack Propagation Analysis of Concrete Beam Subjected to Three-Point Bending Using XFEM
Extended finite element method (XFEM) has been applied to the crack propagation problems. A standard displacement-base approximation is enriched near a crack by incorporating both a discontinuous field and the near crack front asymptotic fields through a partition of unity method. This technique allows the entire crack to be represented independently of the mesh, so remeshing is not necessary to model crack growth. Applications of the proposed technique to beam subjected to three-point bending have been presented, results shown the location of the crack imposes important effect on the crack propagation direction.
Z. L. Ru et al., "Crack Propagation Analysis of Concrete Beam Subjected to Three-Point Bending Using XFEM", Applied Mechanics and Materials, Vols. 94-96, pp. 1655-1658, 2011