The Strain Energy Density Ratio Criterion for Predicting Cracking Direction in Composite Materials

Zhang Shuang-yin; Cai Liang-wu

Volume 14 Issue 1

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Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(1): 79-87

Zhang Shuang-yin, Cai Liang-wu. The Strain Energy Density Ratio Criterion for Predicting Cracking Direction in Composite Materials[J]. Applied Mathematics and Mechanics, 1993, 14(1): 79-87.

Citation:

Zhang Shuang-yin, Cai Liang-wu. The Strain Energy Density Ratio Criterion for Predicting Cracking Direction in Composite Materials[J]. Applied Mathematics and Mechanics, 1993, 14(1): 79-87.

Citation:

Zhang Shuang-yin, Cai Liang-wu. The Strain Energy Density Ratio Criterion for Predicting Cracking Direction in Composite Materials[J]. Applied Mathematics and Mechanics, 1993, 14(1): 79-87.

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The Strain Energy Density Ratio Criterion for Predicting Cracking Direction in Composite Materials

Institute of Mechanics, Chinese Academy of Sciences, Beijing

Received Date: 1989-11-06
Publish Date: 1993-01-15

Abstract

Abstract

The strain energy density ratio criterion for predicting cracking direction in composite materials is proposed. The Tsai-Hill criterion and Norris criterion of composite materials are extended to predict the cracking direction in composites. The three criteria are used to analyse the crack propagation problem of the unidirectional fibre composite sheet with various fibre directions. The predicted results are compared with those of the existing normal stress ratio criterion and strain energy density criterion.
- composite maierials,
- cracking direction,
- unisotropy lincur clustic fracture mechanics,

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References(9)

References

[1]	Sih,G.C.and D.Y.Tzou,Discussion on "Criteria for britle fracture in biaxial tension" by S.K.Maiti and R.A.Smith,Engng.Fract.Mech.,21,3(1983),977-982.
[2]	Zhang,S.Y.,A note on fracture toughness of unidirectional composites,Inter.J.Fract.,35,3(1987),R57-R60.
[3]	Sih,G,C.,Fracture mechanics of composite materials,Proc.lst USA-USSR Symp.on Fracture of Composite Materials,Riga,USSR(1978),111-130.
[4]	Gregory,M.A.and C.T.Herakovich,Predicting crack growth direction in unidirectional composites,J.Comp.Mater.,20,1(1986),67-85.
[5]	Cai,L.W.and S.Y.Zhang,Prediction of mixed mode cracking direction in random short fibre composite materials,Composites Sci.& Tech,31,2(1988),97-110.
[6]	Jones,R.M.,Mechanics of Composite Materials,McGraw-Hill Comp.(1975).
[7]	Owen,M.J.,Biaxial failure of GRP-mechanisms,modes and theories,Composite Structures 2:Proc.2nd.Inter.Conf.on Composite Structures,Scotland,Applied Science,London(1983),21-39.
[8]	Hull,D,《复合材料导沦》(张双寅、郑维平、蔡良武译),中国建筑工业出版社(1989).
[9]	洗杏娟,带边缘缺口碳纤维增强环氧复合材料拉伸破坏特性,力学学报(5)(1981),493-500.

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