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

doi:10.1088/1674-1056/23/6/064601

中国物理B ›› 2014, Vol. 23 ›› Issue (6): 64601-064601.doi: 10.1088/1674-1056/23/6/064601

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

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

钟志鹏^a, 何郁波^b, 万水^a

a School of Transportation, Southeast University, Nanjing 210096, China;
b Department of Mathematics, Huaihua University, Huaihua 418008, China

收稿日期:2013-09-05 修回日期:2013-10-29 出版日期:2014-06-15 发布日期:2014-06-15
基金资助:
Project supported by the National Basic Research Program of China (Grant No. 2012CB026200) and the National Natural Science Foundation of China (Grant No. 50878048).

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

Zhong Zhi-Peng (钟志鹏)^a, He Yu-Bo (何郁波)^b, Wan Shui (万水)^a

a School of Transportation, Southeast University, Nanjing 210096, China;
b Department of Mathematics, Huaihua University, Huaihua 418008, China

Received:2013-09-05 Revised:2013-10-29 Online:2014-06-15 Published:2014-06-15
Contact: Wan Shui E-mail:lanyu421@163.com
Supported by:
Project supported by the National Basic Research Program of China (Grant No. 2012CB026200) and the National Natural Science Foundation of China (Grant No. 50878048).

摘要/Abstract

摘要： 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.

关键词: contact and friction, node-pairs contact algorithm, interface crack, mixed mode loading stress intensity factors

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.

Key words: contact and friction, node-pairs contact algorithm, interface crack, mixed mode loading stress intensity factors

中图分类号: (Fracture mechanics, fatigue and cracks)

46.50.+a

46.55.+d (Tribology and mechanical contacts) 72.80.Tm (Composite materials)

钟志鹏, 何郁波, 万水. Analysis of composite material interface crack face contact and friction effects using a new node-pairs contact algorithm[J]. 中国物理B, 2014, 23(6): 64601-064601.

Zhong Zhi-Peng (钟志鹏), He Yu-Bo (何郁波), Wan Shui (万水). Analysis of composite material interface crack face contact and friction effects using a new node-pairs contact algorithm[J]. Chin. Phys. B, 2014, 23(6): 64601-064601.

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

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

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