Peridynamics (PD) is a novel continuum mechanics theory established by Stewart Silling in
2000. The roots of PD can be traced back to the early works of Gabrio Piola according to …

In this work, a critical comparison between three different numerical approaches for the
computational modelling of quasi-brittle structural failure is presented. Among the many …

In this paper, we present a self-propagating Strong Discontinuity embedded Approach
(SDA) for quasi-brittle fracture. The method is based on the Statically Optimal Symmetric …

The cracking elements (CE) method is a recently presented self-propagating strong
discontinuity embedded approach with the statically optimal symmetric (SDA-SOS) …

Partition of unity enrichment is known to significantly enhance the accuracy of the finite
element method by allowing the incorporation of known characteristics of the solution in the …

Three alternative approaches, namely the extended/generalized finite element method
(XFEM/GFEM), the scaled boundary finite element method (SBFEM) and phase field …

We present a three‐dimensional vector level set method coupled to a recently developed
stable extended finite element method (XFEM). We further investigate a new enrichment …

Extended finite element method (XFEM) achieves unprecedented success in crack growth
simulations, in particular in 2D. However, challenges still remain for a 3D crack growth …

An improved XFEM (IXFEM) for three-dimensional non-planar crack propagation under
impact loadings is developed. The proposed method couples the IXFEM (Tian and Wen …

Load-and corrosion-induced cracks are generated in the segment concrete of a shield
tunnel during the operation period, and will reduce the bending performance of the tunnel …