B spline-based method for 2-D large deformation analysis |
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Authors: | Yanan Liu Liang Sun Feng Xu Yinghua Liu Zhangzhi Cen |
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Affiliation: | 1. China Special Equipment Inspection and Research Institute, Beijing 100013, China;2. School of Aerospace, Tsinghua University, Beijing 100084, China |
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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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