Open Access

ABSTRACT

A meshless method based on Daubechies wavelet for 2-D elastoplaticity problems

Yanan Liu¹, Yinghua liu¹, Zhangzhi Cen¹

1 Department of Engineering Mechanics, Tsinghua University, Beijing, China

The International Conference on Computational & Experimental Engineering and Sciences 2007, 3(3), 139-144. https://doi.org/10.3970/icces.2007.003.139

Abstract

In this paper, a Daubechies(DB) wavelet-based meshless method is proposed to analyze 2-D elastoplasticity problems. Using DB wavelet scaling functions and wavelet functions as basis functions to approximate the unknown field functions, there is no need to construct the shape functions costly as done in FEM and conventional meshless methods. Incremental formulations are established for solution of 2-D elastoplasticity problems. In addition, the property of DB wavelet is used to make the method concise in formulations, flexible in applications and easy to realize. Due to the lack of Kroneker delta properties in scaling functions and wavelet functions, the penalty method is used to impose the essential boundary condition in this work. Numerical examples of two dimensional elastoplasticity problems illustrate that this method is very efficient and stable.

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