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 …

Material behavior and microstructure geometries at small scales strongly influence the
physical behavior at higher scales. For example, defects like cracks and dislocations evolve …

The phase-field model (PFM) represents the crack geometry in a diffusive way without
introducing sharp discontinuities. This feature enables PFM to effectively model crack …

In the past two decades, meshfree methods have emerged into a new class of computational
methods with considerable success. In addition, a significant amount of progress has been …

We present a phase field model (PFM) for simulating complex crack patterns including crack
propagation, branching and coalescence in rock. The phase field model is implemented in …

We present an isogeometric thin shell formulation for multi-patches based on rational
splines over hierarchical T-meshes (RHT-splines). Nitsche's method is employed to …

A 3-D conjugated bond-pair-based peridynamic model is developed to comprehensively
investigate failure characteristics of rock-like materials with intermittent fissures in the …

This paper presents a novel numerical procedure based on the framework of isogeometric
analysis for static, free vibration, and buckling analysis of laminated composite plates using …

Isogeometric analysis has become a powerful alternative to standard finite elements due to
its flexibility in handling complex geometries. One of the major drawbacks of NURBS-based …

We propose a coarse-graining technique to reduce a given atomistic model into an
equivalent coarse grained continuum model. The developed technique is tailored for …