Stress Intensity Factor Calculation by Smoothed Finite Element Method

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Abstract:

Accuracy of stress intensity factor (SIF) determination by three types of smooth finite element method (namely, ES-FEM, NS-FEM and α-FEM) has been investigated. Two types of simple benchmark problems (uniaxial tension of the specimens with central and edge cracks) have been considered. SIF values were calculated by virtual crack extension and modified crack closure integral methods on almost uniform meshes. It has been shown that utilizing of ES-FEM and α-FEM significantly improves accuracy of the results compared with the traditional FEM.

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Solid State Phenomena (Volume 250)

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163-168

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April 2016

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© 2016 Trans Tech Publications Ltd. All Rights Reserved

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[1] G.R. Liu, T. Nguyen-Thoi, Smoothed Finite Element Methods, CRC Press, (2010).

Google Scholar

[2] G.R. Liu, T. Nguyen-Thoi, K.Y. Lam, An edge-based smoothed finite element method (ES- FEM) for static, free and forced vibration analyses in solids, J. Sound Vib. 320 (2009) 1100-1130.

DOI: 10.1016/j.jsv.2008.08.027

Google Scholar

[3] G.R. Liu, T. Nguyen-Thoi, H. Nguyen-Xuan, K.Y. Lam, A node-based smoothed finite element method (NS-FEM) for upper bound solutions to solid mechanics problems, Comput. Struct. 87 (2009) 14-26.

DOI: 10.1016/j.compstruc.2008.09.003

Google Scholar

[4] G.R. Liu, T. Nguyen-Thoi, K.Y. Lam, A novel FEM by scaling the gradient of strains with factor α (αFEM), Comput. Mech. 43 (2009) 369-391.

DOI: 10.1007/s00466-008-0311-1

Google Scholar

[5] ADINA Theory and Modeling Guide, ADINA R&D Inc., Watertown, (2013).

Google Scholar

[6] A.R. Ingraffea, I.A. Wawrzynek, Finite Element Methods for Linear Elastic Fracture Mechanics, in: I. Milne, R.O. Ritchi, B. Karihaloo (Eds), Comprehensive Structural Integrity, vol. 3, Elsevier, 2003 1-88.

DOI: 10.1016/b0-08-043749-4/03007-x

Google Scholar