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The 2D large deformation analysis using Daubechies wavelet

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Abstract

In this paper, Daubechies (DB) wavelet is used for solution of 2D large deformation problems. Because the DB wavelet scaling functions are directly used as basis function, no meshes are needed in function approximation. Using the DB wavelet, the solution formulations based on total Lagrangian approach for two-dimensional large deformation problems are established. Due to the lack of Kroneker delta properties in wavelet scaling functions, Lagrange multipliers are used for imposition of boundary condition. Numerical examples of 2D large deformation problems illustrate that this method is effective and stable.

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Authors and Affiliations

  1. College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing, 100124, China

    Yanan Liu & Fei Qin

  2. School of Aerospace, Tsinghua University, Beijing, 100084, China

    Yinghua Liu & Zhangzhi Cen

Authors
  1. Yanan Liu
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  2. Fei Qin
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  3. Yinghua Liu
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  4. Zhangzhi Cen
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Correspondence to Yanan Liu.

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Liu, Y., Qin, F., Liu, Y. et al. The 2D large deformation analysis using Daubechies wavelet. Comput Mech 45, 179–187 (2010). https://doi.org/10.1007/s00466-009-0433-0

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  • DOI: https://doi.org/10.1007/s00466-009-0433-0

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