Open Access

ARTICLE

Numerical Simulation of Plane Crack Using Hermite Cubic Spline Wavelet

Jiawei Xiang^1,2, Yanxue Wang³, Zhansi Jiang³, Jiangqi, Long¹, Guang Ma¹

1 College of Mechanical Engineering, Wenzhou University, Wenzhou, 325035, P.R. China.
2 Corresponding author: Jiawei Xiang. E-mail: wxw8627@163.com
3 School of Mechanical and Electrical Engineering, Guilin University of Electronic Technology, Guilin, 541004, P.R.China.

Computer Modeling in Engineering & Sciences 2012, 88(1), 1-16. https://doi.org/10.3970/cmes.2012.088.001

Abstract

Two-dimensional wavelet-based numerical approximation using Hermite cubic spline wavelet on the interval (HCSWI) is proposed to solve stress intensity factors (SIFs) of plate structures. The good localization property of wavelets is used to approximate displacement fields by multi-scale bases of HCSWI. Example computations are performed for plates with a central crack and double edge cracks. The numerical results prove that, compared with the conventional finite element method and the analytical solutions, the new procedure are efficient in both its accuracy and its reduction of degree of freedoms (DOFs).

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Keywords

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