The contact problem of a rubber half-space dented by a rigid cone apex |
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| Authors: | Y. C. Gao Y.-W. Mai |
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| Affiliation: | (1) Institute of Mechanics, Northern Jiaotong University, 100044, Beijing, China e-mail: ycgao@center.njtu.edu.cn, CN;(2) Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Tat Chee Avenue, Hong Kong and Center for Advanced Materials Technology, University of Sydeny, Sydeny, NSW 2006, Australia, AU |
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| Abstract: | Summary The smooth contact of a rubber half-space dented by a rigid cone apex is analyzed based on the large deformation theory. The problem is treated as an axially symmetric case, and the material is assumed to be incompressible. The asymptotic equations for the domain near the apex are derived. They are solved analytically for the shrinking domain, while a numerical solution is found for the expanding domain in the vicinity of the stress singularity. The purpose of this paper is not only to solve a typical problem but also to provide an analytical method to solve a large-strain problem with a singular point. Received 10 July 2001; accepted for publication 24 January 2002 |
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| Keywords: | Half-space, Rigid cone, Contact problem, Rubber, Elasticity |
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