A simple, efficient and accurate Bézier extraction based T-spline XIGA for crack simulations

In the present work, a simple, efficient and accurate Bézier extraction based T-spline XIGA (BEBT-XIGA) has been proposed for the crack simulations. Bézier extraction maps T-spline basis functions over the element in the forms of Bernstein polynomial basis defined over the Bézier element. T-spline basis functions over the element can be written as linear combination of Bernstein polynomials basis. Bézier extraction approach generates an element extraction operator and Bézier element for fracture analysis. A crack is modelled in BEBT-XIGA through enrichment functions similar to XFEM. The values of stress intensity factors (SIFs) are computed using domain based interaction integral approach. Several crack problems have been solved by the proposed BEBT-XIGA approach.