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TECHNICAL BRIEFS

The Contact Problem in a Compressible Hyperelastic Material

[+] Author and Article Information
G. F. Wang

School of Aerospace, Xian Jiaotong University, Xian 710049, Chinawang̱gf@sohu.com

T. J. Wang

School of Aerospace, Xian Jiaotong University, Xian 710049, China

P. Schiavone1

Department of Mechanical Engineering, University of Alberta, Edmonton, AB T6G 2G8, CanadaP.Schiavone@ualberta.ca

1

Corresponding author.

J. Appl. Mech 74(4), 829-831 (Aug 14, 2006) (3 pages) doi:10.1115/1.2711229 History: Received April 11, 2006; Revised August 14, 2006

We consider the contact problem for a particular class of compressible hyperelastic materials of harmonic type undergoing finite plane deformations. Using complex variable techniques, we derive subsidiary results concerning a half-plane problem corresponding to this class of materials. Using these results, we solve the contact problem for a harmonic material in the case of a uniform load acting on a finite area. Finally, we show how we can then deduce the corresponding results for the case of a point load.

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Copyright © 2007 by American Society of Mechanical Engineers
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The contact problem in a hyperelastic material subjected to uniform loading

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