Abstract
The purpose of this paper is simulating the crack propagation in steel structures with isogeometry analysis (IGA). In this method, CAD model is integrated into the CAE model by using non uniform rational B-Splines (NURBS) function. Crack propagation in isotroptic linear elastic material will be presented. The numerical example is a rectangular plate assumed to be plane strain condition with an edge crack under uniform shear loading. The obtained results are investigated and compared with analytical method and reference solutions. Very good agreements on the solutions are found. It is showed that isogometry analysis is better than standard finite element method in modeling and simulating. Consequently, isogometry analysis is an effective numerical method in future, especially when solving the crack propagation problems.
Highlights
In simulating the crack growth problems with arbitrary paths, the finite element method (FEM) has encountered many difficulties because the finite element mesh must be re-meshing after each increment of growthing cracks
The main idea of this method is the use of non uniform rational B-Splines (NURBS) basis functions to build CAD geometry for modeling, the concept is similar to the finite element method (FEM)
The mixed mode stress intensity factors computed for the first, second- and third-order NURBSbased XFEM are presented in Table 1 with a uniform mesh of 21x4
Summary
In simulating the crack growth problems with arbitrary paths, the FEM has encountered many difficulties because the finite element mesh must be re-meshing after each increment of growthing cracks. To overcome these difficulties, the extened finite element method (Moes et al.1999) was developed to solve crack growth problems. XFEM is developed based on Partition of Unity Finite Element Method (PUFEM) [1]. The main idea of this method is the use of NURBS basis functions to build CAD geometry for modeling, the concept is similar to the finite element method (FEM). XIGA inherited the advantages of XFEM and IGA, fully capable of solving some complex crack propagation problem without re-meshing. The complex geometry of objects can be modeled with a few of elements, so the calculation time can be reduced significantly
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