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

Indexed by:期刊论文

Date of Publication:2021-01-10

Journal:COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Volume:370

ISSN No.:0045-7825

Key Words:eXtended Isogeometric Analysis; B plus plus splines; Bi-material weak discontinuous problems; Dirichlet boundary condition; Computational resources

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. (C) 2020 Elsevier B.V. All rights reserved.

Date of Publication:2021-01-10