EFG Virtual Crack Closure Technique for the Determination of Stress Intensity Factor


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The aim of this paper is to introduce a virtual crack closure technique based on EFG method for thread-shape crack. The cracked component is discretized and the displacement field is determined using a coupled FE/EFG method, by which EFG nodes are arranged in the vicinity of crack tip and FE elements in the remain part in order to improve computational efficiency. Two typical parameters, nodal force and crack opening displacement attached to crack tip are calculated by means of setting up an auxiliary FE zone around crack tip. Strain energy release rate (SERR), further stress intensity factor (SIF) are determined by the two parameters. The method to calculate SIF is named as virtual crack closure technique based on EFG method. It is showed by several numerical examples that using the method presented in this paper, SIF on the crack tip can be obtained accurately.



Advanced Materials Research (Volumes 250-253)

Edited by:

Guangfan Li, Yong Huang and Chaohe Chen




X. P. Chang et al., "EFG Virtual Crack Closure Technique for the Determination of Stress Intensity Factor", Advanced Materials Research, Vols. 250-253, pp. 3752-3758, 2011

Online since:

May 2011




[1] Rooke D P, Cartwright D J. Compendium of Stress Intensity Factors[M]. London: Her Majesty's Stationary Office, (1976).

[2] Tada H, Paris P C, Irwin G R. The Stress Factor Handbook[M]. Hellertown: Del Research Corporation, (1985).

[3] Murakami Y. Stress Intensity Factors Handbook[M]. New York: Pergamon, (1987).

[4] Shahani A R, Habibi S E. Stress intensity factors in a hollow cylinder containing circumferential semi-elliptical crack subjected to combined loading[J]. International Journal of Fatigue 2007, 29: 128-140.

DOI: https://doi.org/10.1016/j.ijfatigue.2006.01.017


[6] Citatella R, Perella M. Multiple surface crack propagation: numerical simulations and experimental tests[J]. Fatigue Fract Engng Mater Struct 2005, 28: 135–148.

[7] Weiming Tao, Yimu Guo, Zhiyuan Cao, AN ANALYSIS OF 3D FINITE CRACKED BODIES[J]. Acta Mechanica Solida Sinica, 2001,22(3): 256-272, In Chinese.

[8] Mengcheng Chen, Hegen Yu, Renji Tang, A NUMERICAL METHOD WITH HIGH ACCURACY FOR 3D CRACK PROBLEMS[J], Acta Mechanica Solida Sinica, 2002,23(2): 207-211. In Chinese.

[9] Peizhen Huang, Junping Shi, Zhonghua Li, HIGHER ORDER WEIGHT FUNCTION METHOD FOR ANALYSIS OF STRESS INTENSITY FACTORS FOR INTERFACE CRACKS[J], Acta Mechanica Solida Sinica, 2000, 21(2): 166-170, In Chinese.

[10] Roberto Brighenti. Application of the element-free Galerkin meshless method to 3-D fracture mechanics problems[J]. Engineering Fracture Mechanics, 2005, 72, 2808-2820.

DOI: https://doi.org/10.1016/j.engfracmech.2005.06.002

[11] Chihdar Y, Alireza C, John S. Tomblin, Strain energy release rate determination of prescribed cracks in adhesively-bonded single-lap composite joints with thick bondlines [J]. Composites: Part B 2008, 39: 863-873.

DOI: https://doi.org/10.1016/j.compositesb.2007.10.001

[12] Rosa M, Freitas D M. Characterisation of the edge crack torsion (ECT) test for the measurement of the mode III interlaminar fracture toughness [J]. Engineering Fracture Mechanics, 2009, 76: 2799-2809.

DOI: https://doi.org/10.1016/j.engfracmech.2009.06.016

[13] Irwin G R. One set of fast crack propagation in high strength steel and aluminum alloys [R]. Sagamore Research Conference Proceedings, 1956, 2: 289-305.

[14] De Jie, Qian Qin, Changan Li, Numerical calculation method and engineering application for fracture mechanics[M]. The science teaching press, Beijing, 2009, In Chinese.

[15] Rybicki E F, Kanninen M F. A finite element calculation of stress intensity factors by modified crack-closure integral [J]. Engineering Fracture Mechanics, 1977, 9: 931-938.

DOI: https://doi.org/10.1016/0013-7944(77)90013-3

[16] Raju I S, Calculation of stain-energy release rates with high-order and singular finite-elements[J]. Engineering Fracture Mechanics, 1987, 28: 251-274.

DOI: https://doi.org/10.1016/0013-7944(87)90220-7

[17] Andrew J. Deeks a, Charles E. Augarde b, * A hybrid meshless local Petrov–Galerkin method for unbounded domains [J]. Comput. Methods Appl. Mech. Engrg, 2007, 196: 843-852.

DOI: https://doi.org/10.1016/j.cma.2006.06.011

[18] Ivo B K, Banerjee U, Osborn J E, Zhang Q H, Effect of numerical integration on meshless methods [J]. Comput. Methods Appl. Mech. Eng. 2009, 198: 2886-2897.

DOI: https://doi.org/10.1016/j.cma.2009.04.008

[19] Zahab Z E, Divo E, Kassab A J. A localized collocation meshless method (LCMM) for incompressible flows CFD modeling with applications to transient hemodynamics [J]. Engineering Analysis with Boundary Elements 33 (2009) 1045–1061.

DOI: https://doi.org/10.1016/j.enganabound.2009.03.006

[20] Jun Liu, Bo Yan, Li Zhao, Cheng Liu, FEM/MLPG coupling algorithm using transform matrices[J], Chinese Journal of Computational Mechanics, 2010, 27(4): 596-600, In Chinese.

[21] Amirani M C, Nemati N. Simulation of two dimensional unilateral contact using a coupled FE/EFG method [J]. Engineering Analysis with Boundary Elements 2011, 35: 96–104.

DOI: https://doi.org/10.1016/j.enganabound.2010.05.007

[22] Xiao Q Z, Dhanasekar M. Coupling of FE and EFG using collocation approach [J]. Advances in Engineering Software 2002, 33: 507-515.

DOI: https://doi.org/10.1016/s0965-9978(02)00069-8