A method of overlaying models of isogeometric analysis (IGA) for modeling localized features of structure and its accuracy

Abstract

In the present investigation, a method of overlaying models of isogeometric analysis (IGA) is proposed. We call this technique s-version IGA (S-IGA). In S-IGA, a local IGA model representing the localized features of structures such as holes, cracks, notches, etc. is superimposed on a global IGA model that represents the structure as a whole. Although IGA is known as a highly accurate analysis methodology which has a potential to replace the finite element method, building analysis models for IGA is a quite troublesome task. That is because IGA is based on B-Spline or NURBS volume represented by the multiplication of B-Spline or NURBS basis functions in three-natural coordinates for three-dimensional space. In this paper, S-IGA is proposed for the purpose of reducing analysis model generation task in IGA and is critically examined for its accuracy. Discussions are extended to a modeling of mixed mode crack problem.

Keywords

• s-version finite element method (s-fem)
• finite element method (fem)
• isogeometric analysis (iga)
• linear elastic problem
• stress concentration problem