There Dimensional Fracture Mechanics using NURBS based Isogeometric Analysis metliod

Fracture mechanics deals with mechanical behavior of cracked bodies. In this investigation three dimensional NURBS’ volumes with predefined strong discontinuities and interfaces are studied. For these purposes, inherent NURBS basis functions’ properties are performed in a manner to control the continuity across the model. The possibility of enhancing a B-spline basis with discontinuities by means of knot insertion is conducted to create the discrete cracks. Also repetition of two different control points between two patches can create a discontinuity and also demonstrates a singularity in the stiffness matrix. To investigate a NURBS volume with a crack or material interface one or two patches were used. In the case of a pre-defined interface, non-uniform rational B-splines are used to obtain an efficient discretization. Various numerical simulations for edge and center cracks demonstrate the suitability of the isogeometric analysis approach to fracture mechanics.

Keywords:

Isogeometric analysis , NURBS , Fracture mechanics , Crack