Simulation of Fractures in Elastic Bodies by Using Locally Refined B-splines

Abstract

Fracture mechanics plays an important role in many different applications. When modeling fractures, singularities occur around the fracture tips. Another aspect that makes the modeling of fractures difficult, is the complexity of the fracture structures. In this master thesis, an adaptive isogeometric analysis (IGA) solver using Locally Refined B-splines (LR B-splines) are implemented. To guarantee good results, even for complex problems where the analytical solution is unknown, a residual based error estimate is used.