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

作者：Singh S K; Singh I V; Mishra B K; Bhardwaj G; Bui T Q

来源：Theoretical and Applied Fracture Mechanics, 2017, 88: 74-96.

DOI：10.1016/j.tafmec.2016.12.002

• Extended isogeometric analysis
• Bezier extraction
• T-spline
• Bezier element
• Stress intensity factors

In the present work, a simple, efficient and accurate Bezier extraction based T-spline XIGA (BEBT-XIGA) has been proposed for the crack simulations. Bezier extraction maps T-spline basis functions over the element in the forms of Bernstein polynomial basis defined over the Bezier element. T-spline basis functions over the element can be written as linear combination of Bernstein polynomials basis. Bezier extraction approach generates an element extraction operator and Bezier 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.

• 出版日期2017-4