Application of natural element method in fracture analysis of a mixed mode problem using Domain form of interaction integral

The Constrained Natural Element Method (C-NEM) for calculation of the mixed mode stress intensity factors (SIFs) is presented. The mixed mode stress intensity factors are evaluated by means of the interaction integral, in the form of an equivalent domain integral. In C-NEM a visibility criterion is applied to select natural neighbors in the computation of the shape functions. With this technique, some difficulties inherent to natural element method (NEM) in non convex domains are avoided and the analysis of problems involving cracks or discontinuities are easily performed. Verification with available reference solutions for an angled crack is provided. A good agreement is attained between the obtained results and reference solutions.

کلیدواژه ها:

C-NEM ، non convex domains ، visibility criterion ، stress intensity factor ، interaction integral ، mixed mode.