LIU Ya-nan, XIAO Ya-fei, LIU Ying-hua, CEN Zhang-zhi. DB WAVELET-BASED MESHLESS METHOD FOR 2D PLASTOELASTICITY PROBLEMS[J]. Engineering Mechanics, 2008, 25(9): 18-022.
Citation: LIU Ya-nan, XIAO Ya-fei, LIU Ying-hua, CEN Zhang-zhi. DB WAVELET-BASED MESHLESS METHOD FOR 2D PLASTOELASTICITY PROBLEMS[J]. Engineering Mechanics, 2008, 25(9): 18-022.

DB WAVELET-BASED MESHLESS METHOD FOR 2D PLASTOELASTICITY PROBLEMS

  • Daubechies (DB) wavelet-based meshless method is used to analyze 2D elastoplastic problems. By using DB wavelet scaling functions as basis functions to approximate the unknown field functions, it is not necessary to construct the shape functions costly as done in FEM and conventional meshless methods. An incremental formulation for solution of 2D elastoplastic problems is established in terms of the method. Numerical examples of two dimensional elastoplastic problems illustrate that this method is efficient and stable.
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