Separation Work Analysis of Cohesive Law and Consistently Coupled Cohesive Law

HE Ming-hua; XIN Ke-gui

doi:10.3879/j.issn.1000-0887.2011.11.008

Volume 32 Issue 11

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HE Ming-hua, XIN Ke-gui. Separation Work Analysis of Cohesive Law and Consistently Coupled Cohesive Law[J]. Applied Mathematics and Mechanics, 2011, 32(11): 1342-1351. doi: 10.3879/j.issn.1000-0887.2011.11.008

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Separation Work Analysis of Cohesive Law and Consistently Coupled Cohesive Law

doi: 10.3879/j.issn.1000-0887.2011.11.008

HE Ming-hua^1,2,3,
XIN Ke-gui^1,2

1.
Department of Civil Engineering, Tsinghua University, Beijing 100084, P. R. China;
Key Laboratory of Civil Engineering Safety and Durability of China's Ministry of Education, Beijing 100084, P. R. China;
Department of Civil and Environmental Engineering, UC Berkeley, CA 94720, USA

Received Date: 2011-04-13
Rev Recd Date: 2011-09-20
Publish Date: 2011-11-15

Abstract

Abstract

An appropriate coupled cohesive law for predicting mixed mode failure was established by combining normal separation and tangential separation of surface in cohesive zone model and cohesive element method.Xu-Needleman exponential cohesive law with fully shearing failure mechanism was one of the most popular models in literature.Based on the proposed consistently coupled rule/principle,Xu-Needle-man law with fully shearing failure mechanism was proved to be a non-consistently coupled cohesive law by analyzing surface separation work.It is shown that Xu-Needleman is only valid in mixed mode fracture when the normal separation work equals to the tangential separation one.Based on the consistently coupled principle and the modification of Xu-Needleman law,a consistently coupled cohesive(CCC law)was given.It is shown that the proposed CCC law has already overcome the non-consistency defect of Xu-Needleman Law with great promise in mixed mode analysis.

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References(18)

References

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