A Normal Contact Stiffness Model of Joint Surface Based on Fractal Theory

• 作者: Kuo Xu Lihua Zhang Yuan Yuan
• 来源期刊: 工程与科学中的计算机建模(英文)
• 学科: 物理学
• 关键词: NORMAL CONTACT STIFFNESS ASPERITY FREQUENCY index the JOINT surface
• 年，卷（期）: 2019,（6）
• 页码范围: 459-480
• 页数: 22页
• 分类号: O34

摘要

Based on the fractal theory,a normal contact stiffness model is established.In the model,the asperity is initially in elastic deformation under contact interference.As the interference is increased,a transition from elastic to elastoplastic to full plastic deformation occurs in this order.The critical elastic interference,the first elastoplastic critical interference and the second elastoplastic critical interference are scale-dependent.According to the truncated asperity size distribution function,the relations between the total normal contact stiffness and the total contact load are obtained.The results show the total normal contact stiffness depends on the range of frequency indexes of asperities.The normal contact stiffness in elastic deformation is major contribution to the total normal contact stiffness.When the first six frequency indexes are less than the critical elastic frequency index,the dimensionless load-stiffness relation approximately isF^*r~(K^*r)^3.When the initial frequency index is greater than the critical elastic frequency index,the dimensionless load-stiffness relation approximately isF^*r~K^*r.The comparison between the theoretical results and the experimental results indicates that the theoretical results are consistent with the experimental data;therefore,the present fractal model of contact stiffness is reasonable.