Research for the Strain Energy Release Rate of Complex Cracks by Using Point-by-Point Closed Extrapolation Approach

GUO Mao-lin; MENG Qing-yuan; WANG Biao

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(4): 373-377

GUO Mao-lin, MENG Qing-yuan, WANG Biao. Research for the Strain Energy Release Rate of Complex Cracks by Using Point-by-Point Closed Extrapolation Approach[J]. Applied Mathematics and Mechanics, 2003, 24(4): 373-377.

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Research for the Strain Energy Release Rate of Complex Cracks by Using Point-by-Point Closed Extrapolation Approach

Department of Astronautics and Mechanics, P.O. Box 344, Harbin Institute of Technology, Harbin 150001, P. R. China

Received Date: 2001-12-21
Rev Recd Date: 2003-01-14
Publish Date: 2003-04-15

Abstract

Abstract

A new extrapolation approach was proposed to calculate the strain energy release rates of complex cracks. The point-by-point closed method was used to calculate the closed energy, thus the disadvantage of self-inconsistency in some published papers can be avoided.The disadvantage is that the closed energy is repeatedly calculated: when closed nodal number along radial direction is more than two,the displacement of nodes behind the crack tip that is multiplied by nodal forces,the closed energy has been calculated and the crack surfaces have been closed, and that closed energy of middle point is calculated repeatedly.A DCB(double cantilever beam) specimen was calculated and compared with other theoretical results,it is shown that a better coincidence is obtained.In addition the same resalts are also obtained for compact tension specimen, three point bend specimen and single edge cracked specimen.ln comparison with theoretical results,the error can be limited within 1 per cent.This method can be extended to analyze the fiacture of composite laminates with various delamination cracks.
- extrapolation approach,
- point-by-point close,
- complex crack,
- strain energy release rate

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References(8)

References

[1]	Kardestuncer H.Finite Element Handbook[M].New York:McGraw-Hill Book Company,1987.
[2]	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(4):931-938.
[3]	de Moura M F S F,Goncalves J P M,Marques A T,et al.Modeling compression failure after low velocity impact on laminated composites using interface elements[J].J Composites Materials,1997,31(15):1462-1479.
[4]	Whitcomb J D.Three dimensional analysis of a posthuckled embedded delimitation[J].J Composite Materials,1989,23(9):862-887.
[5]	Mukher Jee Y X.A numerical and experimental study of delaminated layered composites[J].J Composite Materials,1994,28(9):837-870.
[6]	LU Xian-qiang,LIU Dah-sin.Finite element analysis of strain energy release rate at delamination front[J].Journal of Reinforced Plastics and Composites,1991,10(5):179-292.
[7]	张德兴.有限元素法新编教程[M].上海:同济大学出版社,1989.
[8]	杜善义,王彪.复合材料细观力学[M].北京:科学出版社,1998.