基于DB小波无网格法:二维弹塑性问题

DB WAVELET-BASED MESHLESS METHOD FOR 2D PLASTOELASTICITY PROBLEMS

该文研究了基于Daubechies(DB)小波无网格方法对弹塑性问题中的分析。利用DB小波尺度函数作为基函数近似未知的场函数,不必类似有限元法和传统的无网格法花很大代价去构造所谓的形函数。该文利用新方法建立了增量格式的二维弹塑性问题的求解方案。二维弹塑性问题的数值算例证明了该方法的稳定性和有效性。

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.