Three-dimensional modelling of masonry using the partition of unity method

This paper uses the Generalized Finite Element method for the introduction of the cohesive joint behaviour to model masonry. Cracked joints are modelled as displacement discontinuities and are introduced in the finite element model by additional degrees of freedom. These degrees of freedom are activated when the stress state in the joint reaches...

A smooth yield surface based on interpolation of Bézier curves for masonry modelling

A smooth yield surface for the modelling of masonry on mesoscopic scale is presented, using interpolation by second order Bzier curves. The cracked joints are modelled as displacement discontinuities using the partition of unity property of finite element shape functions.

Analysis of intergranular crack propagation in brittle polycrystals with a generalized finite element method and network algorithm

Two different approaches to intergranular crack propagation in brittle polycrystals are contrasted. Crack paths resulting from a method that allows a detailed description of the stress field within a polycrystal are compared to cracks dictated by topological considerations. In the first approach, a fracture path is determined with a Generalized...

Role of microstructural geometry in the deformation and failure of polycrystalline materials

A deeper understanding of the deformation and failure mechanisms in polycrystals is of utmost importance for their reliable use as engineering materials. These mechanisms are strongly influenced by the geometry of the granular arrangement. In this work, two-dimensional intergranular quasi-static crack propagation in brittle polycrystals and...

Bridging Scales with a Generalized Finite Element Method

The generalized FEM (GFEM) has been successfully applied to the simulation of dynamic propagating fractures, polycrystalline and fiber-reinforced microstructures, porous materials, etc. A-priori knowledge about the solution of these problems are used in the definition of their GFEM approximation spaces. This leads to more accurate and robust...