Paper Info
Title
NURBS-enhanced line integration boundary element method for 2D elasticity problems with body forces
Abstract
A NURBS-enhanced boundary element method for 2D elasticity problems with body forces is proposed in this paper. The non-uniform rational B-spline (NURBS) basis functions are applied to construct the geometry and the model can be reproduced exactly at all stages since the refinement will not change the shape of the boundary. Both open curves and closed curves are considered. The fields are approximated by the traditional Lagrangian basis functions in parameter space, rather than by the same NURBS basis functions for geometry approximation. The parametric boundary elements and collocation nodes are defined from the knot vector of the curve and the refinement of the NURBS curve is easy. Boundary conditions can be imposed directly since the Lagrangian basis functions have the property of delta function. In addition, most methods for the treatment of singular integrals in traditional boundary element method can be applied in the proposed method. To overcome the difficulty for evaluation of the domain integrals in problems with body forces, a line integration method is further applied in this paper to compute the domain integrals without additional volume discretizations. Numerical examples have shown the accuracy of the proposed method.
Year
DOI
Venue
2019
10.1016/j.camwa.2018.11.039
Computers & Mathematics with Applications
Keywords
Field
DocType
NURBS-enhanced line integration boundary element method,2D elasticity problems,Non-uniform rational B-spline,Line integration method
Boundary value problem,Body force,Singular integral,Mathematical analysis,Dirac delta function,Parametric statistics,Parameter space,Boundary element method,Basis function,Mathematics
Journal
Volume
Issue
ISSN
77
7
0898-1221
Citations 
PageRank 
References 
0
0.34
2
Authors
5
Name
Order
Citations
PageRank
Qiao Wang19721.94
W. Zhou231.60
Yonggang Cheng301.01
Gang Ma4272.63
Chang Xiaolin522.61