Instability of frictional contact states in infinite layers |
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| Affiliation: | 1. Key Laboratory for Green Technology of Ministry of Education, School of Chemical Engineering and Technology, Tianjin University, Tianjin 300072, China;2. Collaborative Innovation Center of Chemical Science and Engineering (Tianjin), Tianjin 300072, China;1. College of Polymer Science and Engineering, State Key Laboratory of Polymer Materials Engineering, Sichuan University, Chengdu 610065, China;2. National Engineering Research Center for Biomaterials, Sichuan University, Chengdu 610064, China;1. State Engineering Laboratory for Bio-Resource Eco-Utilization, Northeast Forestry University, Harbin 150040, China;2. College of Biotechnology, Sericultural Research Institute, Jiangsu University of Science and Technology, Zhenjiang 212018, China;1. Department of Physics, Faculty of Science, King Khalid University, P.O. Box. 9004 Abha 61413, Saudi Arabia;2. Department of Physics, Manav Rachna College of Engineering, Faridabad, Haryana 121001, India;1. Department of Chemical Engineering, Chung Yuan Christian University, Chung-Li 32023, Taiwan;2. R&D Center for Membrane Technology, Chung Yuan Christian University, Chung-Li 32023, Taiwan;3. Department of Chemical Engineering, National Taiwan University, Taipei 10617, Taiwan |
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| Abstract: | The research reported in this paper is focused on the instability of equilibrium and steady sliding states of elastic orthotropic layers in the presence of unilateral obstacles with Coulomb friction with emphasis on a divergence type instability called directional instability of frictional contact states that cannot occur in isotropic layers. Analytic expressions and numerical solutions are provided for the instability mode and for the coefficient of friction at the onset of instability. A parametric study is done to investigate how this coefficient of friction and the instability mode vary with changes of the system parameters. For certain combinations of material data, significantly low coefficients of friction were required for the onset of instability. A finite element model that approximates the continuum and a lumped model that captures some of the features of the continuum are presented. |
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