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B spline-based method for 2-D large deformation analysis

Authors
Journal
Engineering Analysis with Boundary Elements
0955-7997
Publisher
Elsevier
Publication Date
Volume
35
Issue
5
Identifiers
DOI: 10.1016/j.enganabound.2010.12.006
Keywords
  • B Spline
  • Large Deformation
  • Mesh Distortion
  • Basis Function

Abstract

Abstract In this paper, quadratic cardinal B spline functions are used for solution of 2-D large deformation problems. Because the B spline functions are directly used in function approximation, no meshes are needed and the mesh distortion issues in nonlinear analyses are avoided in this method. Using the B spline functions, the solution formulations based on total Lagrangian (TL) approach for two dimensional large deformation problems are established. The numerical examples of 2-D large deformation problems indicate that the B spline method is effective and stable for solving complicated problems.

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