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Analysis and Prediction of Crack Propagation in Plates by the Enriched Free Galerkin Method
International Journal of Mechanical Engineering and Applications
Volume 2, Issue 6, December 2014, Pages: 78-86
Received: Nov. 6, 2014; Accepted: Nov. 21, 2014; Published: Nov. 25, 2014
Authors
Bui Manh Tuan, School of Mechanical Engineering, Southeast University, Nanjing city, Jiangsu Province, China; Faculty of Mechanical Engineering, Tuy Hoa Industrial College, Tuy Hoa City, Phu Yen Province, Vietnam
Chen Yun Fei, School of Mechanical Engineering, Southeast University, Nanjing city, Jiangsu Province, China
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Abstract
This paper presents a centre and edge crack analysis using meshless methods which is based on moving least squares (MLS) approximation. The unknown displacement function u(x) is approximated by moving least square approximation uh(x). These approximation are constructed by using a weight function which is based a monomial basis function and a set of non-constant coefficients. A subdivision that is similar to finite element method is used to provide a background mesh for numerical integration. An enriched EFG formulation with fracture problems is proposed to improve the solution accuracy for linear elastic fracture problem. The essential boundary conditions are enforced by Lagrange multipliers method. A code has been written in Matlab for the analysis of a crack tip. The obtained results of the developed EFG-code were compared to available experimental data and other numerical (exact methods and finite element method) methods.
Keywords
Crack, Stress Intensity Factor, EFG Method, Moving Least Squares Approximant, Crack Propagation
Bui Manh Tuan, Chen Yun Fei, Analysis and Prediction of Crack Propagation in Plates by the Enriched Free Galerkin Method, International Journal of Mechanical Engineering and Applications. Vol. 2, No. 6, 2014, pp. 78-86. doi: 10.11648/j.ijmea.20140206.11
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