Asymptotic solutions for axisymmetric contact of a thin,transversely isotropic elastic layer |
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| Affiliation: | 1. Department of Mechanical Engineering, University of Arkansas, Fayetteville, AR 72701, USA;2. Institute for Nanoscience and Engineering, University of Arkansas, Fayetteville, AR 72701, USA;1. 480 Stadium Mall Drive, School of Chemical Engineering, Purdue University, West Lafayette, IN 47907, United States;2. 585 Purdue Mall, School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907, United States;1. Department of Mechanical Engineering, Imperial College London, Exhibition Road, South Kensington, London SW7 2AZ, United Kingdom;2. TriboLAB-Dipartimento di Ingegneria Meccanica e Gestionale, Politecnico di Bari, V.le Japigia 182, 70126 Bari, Italy;1. Ray W. Herrick Laboratories, Birck Nanotechnology Center, and the School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907 USA;2. Corteva Agriscience, Indianapolis, IN 46268 USA;3. Level 6 Engineering LLC, West Lafayette, IN 47906 USA |
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| Abstract: | The problem of a rigid sphere in normal contact with a thin, transversely isotropic elastic layer is investigated. The thin elastic layer rests on a rigid foundation and both the limiting cases, wherein the interface is either ideally bonded or unbonded and frictionless, are considered. Approximate analytical solutions for the contact pressure beneath the spherical indenter and for the contact patch radius are presented. By comparing these with those predicted by the finite element method, the accuracy of the solution methods is determined. |
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