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Application of the third medium method for frictionless contact problems in geomechanics
Institution:1. Australian Research Council Centre of Excellence for Geotechnical Science and Engineering, The University of Newcastle, Australia;2. School of Engineering, RMIT University, Melbourne, Australia;1. Department of Advanced Science and Technology, Toyota Technological Institute, 2-12-1 Hisakata, Tenpaku-Ku, Nagoya 468-8511, Japan;2. Department of Mechanical Engineering, Sojo University, 4-22-1, Ikeda, Nishi-Ku, Kumamoto 860-0082, Japan;1. Department of Mechnaical Engineering, Indian Institute of Technology Guwahati, Guwahati 781039, India;2. Department of Applied Mechanics, Indian Institute of Technology Delhi, New Delhi 110016, India;1. Department of Chemical Engineering, University of Newcastle, Callaghan, 2308 NSW, Australia;2. Analytical and Biomolecular Research Facility, University of Newcastle, Callaghan, NSW 2308, Australia;1. Institute of Intelligent System and Decision, Wenzhou University, Wenzhou 325035, China;2. Institute for Information and System Sciences, School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, China
Abstract:Traditional approaches in contact mechanics demand complicated search algorithms at the interface between the contacting bodies. Recently, a new contact method based on the concept of a third medium has been developed, which overcomes the drawbacks of conventional contact mechanics techniques. This new scheme is based on a space filling mesh, in which the contacting bodies can move and interact. The ability and accuracy of this method in predicting displacements, as well as the contact forces, is validated by solving selected numerical examples. The potential merits of this method for analysing geotechnical problems by the finite element method are addressed.
Keywords:Finite element method  Contact mechanics  Large deformation  Geomechanics  Third medium contact method
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