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Chin. Phys. B, 2014, Vol. 23(6): 064601    DOI: 10.1088/1674-1056/23/6/064601

Analysis of composite material interface crack face contact and friction effects using a new node-pairs contact algorithm

Zhong Zhi-Penga, He Yu-Bob, Wan Shuia
a School of Transportation, Southeast University, Nanjing 210096, China;
b Department of Mathematics, Huaihua University, Huaihua 418008, China
Abstract  A new node-pairs contact algorithm is proposed to deal with a composite material or bi-material interface crack face contact and friction problem (e.g., resistant coating and thermal barrier coatings) subjected to complicated load conditions. To decrease the calculation scale and calculation errors, the local Lagrange multipliers are solved only on a pair of contact nodes using the Jacobi iteration method, and the constraint modification of the tangential multipliers are required. After the calculation of the present node-pairs Lagrange multiplier, it is turned to next contact node-pairs until all node-pairs have finished. Compared with an ordinary contact algorithm, the new local node-pairs contact algorithm is allowed a more precise element on the contact face without the stiffness matrix singularity. The stress intensity factors (SIFs) and the contact region of an infinite plate central crack are calculated and show good agreement with those in the literature. The contact zone near the crack tip as well as its influence on singularity of stress fields are studied. Furthermore, the frictional contacts are also considered and found to have a significant influence on the SIFs. The normalized mode-Ⅱ stress intensity factors  for the friction coefficient decrease by 16% when f changes from 1 to 0.
Keywords:  contact and friction      node-pairs contact algorithm      interface crack      mixed mode loading stress intensity factors  
Received:  05 September 2013      Revised:  29 October 2013      Published:  15 June 2014
PACS:  46.50.+a (Fracture mechanics, fatigue and cracks)  
  46.55.+d (Tribology and mechanical contacts)  
  72.80.Tm (Composite materials)  
Fund: Project supported by the National Basic Research Program of China (Grant No. 2012CB026200) and the National Natural Science Foundation of China (Grant No. 50878048).
Corresponding Authors:  Wan Shui     E-mail:

Cite this article: 

Zhong Zhi-Peng, He Yu-Bo, Wan Shui Analysis of composite material interface crack face contact and friction effects using a new node-pairs contact algorithm 2014 Chin. Phys. B 23 064601

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