The finite cell method is an embedded domain method, which combines the fictitious domain
approach with higher-order finite elements, adaptive integration, and weak enforcement of …

An overview of computational methods to model fracture in brittle and quasi‐brittle materials
is given. The overview focuses on continuum models for fracture. First, numerical difficulties …

Nitsche's method can be used as a coupling tool for non-matching discretizations by weakly
enforcing interface constraints. We explore the use of weak coupling based on Nitsche's …

Interphase regions that form in heterogeneous materials through various underlying
mechanisms such as poor mechanical or chemical adherence, roughness, and coating, play …

This paper presents new finite elements that incorporate strong discontinuities with linear
interpolations of the displacement jumps for the modeling of failure in solids. The cases of …

Generating finite element discretizations with direct interface parameterizations constitutes a
considerable computational expense in case of complex interface geometries. The paper at …

In this work, we propose a modified phase-field model for simulating the evolution of mixed
mode fractures and compressive driven fractures in porous artificial rocks. For the purpose of …

A novel class of cohesive constitutive models suitable for the analysis of material separation
such as that related to cracks, shear bands or delamination processes is presented. The …

This paper develops new finite elements with embedded strong discontinuities for the
modeling of the failure of solids in the finite deformation range. The cases of interest include …

This work proposes an improved stable node-based strain smoothing particle finite element
method (SNS-PFEM) with the dual mortar method to model the geotechnical large …