Extended Isogeometric Analysis with strong imposing essential boundary conditions for weak discontinuous problems using B++ splines

Published on Oct 1, 2020in Computer Methods in Applied Mechanics and Engineering5.763
· DOI :10.1016/J.CMA.2020.113135
Wenbin Hou10
Estimated H-index: 10
(DUT: Dalian University of Technology),
Kai Jiang1
Estimated H-index: 1
(DUT: Dalian University of Technology)
+ 4 AuthorsPing Hu21
Estimated H-index: 21
(DUT: Dalian University of Technology)
Abstract Strong imposing Dirichlet boundary conditions remain a challenge for eXtended Isogeometric Analysis (XIGA) or eXtended Finite Element Methods (XFEM). This paper proposed a novel XIGA method of using B++ splines (Boundary plus plus splines) for bi-material weak discontinuous problems. Because B++ spline basis functions satisfy the Kronecker delta property, the presented method allows strong imposing Dirichlet boundary conditions on the boundaries and bi-material interfaces. In addition, compared with other XIGA methods, the number of the basis functions and degrees of freedom (DOFs) are significantly reduced in the process of conversion, which save the computational resources. Numerical examples verify the efficiency and accuracy of the proposed method.
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