Failure Analysis of Homogeneous Material under Mechanical Loading using Extended Isogeometric Analysis

Abstract

The fracture in any component is the main reason behind failure. Now days industry is so obsessed with the quality of product which make analysis of fracture is main concern. Many methods are introduced for fracture analysis. Finite element method is the basic for every modified approach. FEM doesn’t give the exact results due to singularity at crack tip and also it’s difficult to implement FEM due to need of re-meshing. Extended finite element is introduced to tackle these problems. In XFEM the enrichment function are used for crack face and tip. These functions are same as interpolation function in FEM and level set method is used to identify the enriched elements. The introduction of Isogeometric analysis revolutionize the design and FEA research. IGA bridge the gap between design and analysis by using same shape function. The NURBS basis function is mostly used in IGA because of its higher order and continuity. XFEM gives exact result but it’s tedious to implement and takes more time because the number of iterations. In this thesis, Extended Isogeometric Analysis (XIGA) is implemented to homogenous material having crack under mechanical loading, which is developed by integration of IGA and XFEM. In this also level set method is used to identify the enriched element in XIGA Here NURBS basis function is used as interpolation function within the framework of XFEM and gives same results in less time and less iteration.