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Journal of Nanomaterials
Volume 2016, Article ID 7908345, 6 pages
Research Article

Development of a Time-Dependent Friction Model for Frictional Aging at the Nanoscale

1Department of Mechanical Design, Induk University, 2 Wolgye-dong, Nowon-gu, Seoul 139-749, Republic of Korea
2School of Aerospace and Mechanical Engineering, Korea Aerospace University, 76 Hanggongdaehang-ro, Deogyang-gu, Goyang-si, Gyeonggi-do 412-791, Republic of Korea

Received 11 November 2015; Accepted 15 February 2016

Academic Editor: Serdal Kirmizialtin

Copyright © 2016 Seung Yub Baek and Kyungmok Kim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A model for describing frictional aging of silica is developed at the nanoscale. A cohesive zone is applied to the contact surface between self-mated silica materials. Strengthening of interfacial bonding during frictional aging is reproduced by increasing fracture energy of a cohesive zone. Fracture energy is expressed as a function of hold time between self-mated silica materials. Implicit finite element simulation is employed, and simulation results are compared with experimental ones found in the literature. Calculated friction evolutions with various hold times are found to be in good agreement with experimental ones. Dependence of mesh size and cohesive thickness is identified for obtaining accurate simulation result.