A Newton method for three-dimensional fretting problems |
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| Institution: | 1. Division of Mechanics, Department of Mechanical Engineering, Linköping Institute of Technology, S-581 83 Linköping, Sweden;1. School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, China;2. Tribology Research Institute, Traction Power State Key Laboratory, Southwest Jiaotong University, Chengdu 610031, China;1. Research Scholars, Department of Mechanical Engineering, MANIT Bhopal-462003, India;2. Department of Mechanical Engineering, MANIT Bhopal-462003, India;3. Jabalpur Engineering College, Jabalpur-482011, India;1. University of Michigan Division of Neonatal–Perinatal Medicine, Department of Pediatrics, Ann Arbor, MI, USA;2. Center for Bioethics and Social Sciences in Medicine, University of Michigan, Ann Arbor, MI, USA;3. Division of Neonatology, Department of Pediatrics, Johns Hopkins School of Medicine, Baltimore, MD, USA;4. Johns Hopkins Berman Institute of Bioethics, Baltimore, MD, USA;1. Nanomaterials and Solar Energy Conversion Lab, Department of Chemistry, National Institute of Technology, Tiruchirappalli 620 015, India;2. The Center of Excellence for Advanced Materials Research, King Abdulaziz University, P.O. Box 80203, Jeddah 21413, Saudi Arabia |
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| Abstract: | The present paper concerns the numerical treatment of fretting problems using a finite element analysis. The governing equations resulting from a formal finite element discretization of an elastic body with a potential contact surface are considered in a quasi-static setting. The constitutive equations of the potential contact surface are Signorinis contact conditions, Coulombs law of friction and Archards law of wear. Using a backward Euler time discretization and an approach based on projections, the governing equations are written as an augmented Lagrangian formulation which is implemented and solved using a Newton algorithm for three-dimensional fretting problems of didactic nature. Details concerning the implementation are provided. |
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