The Quarterly Journal of Mechanics and Applied Mathematics Advance Access originally published online on August 23, 2005
The Quarterly Journal of Mechanics and Applied Mathematics 2005 58(3):367-381; doi:10.1093/qjmam/hbi006
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A new symbolism for solving the Hertz contact problem
( Prisoner #167932 D, Archambault Jail, Ste-Anne-des-Plaines, Quebec Canada J0N 1H0 )
It is shown that the symbolism, widely used by the author for solving various elastic problems for circular domains, can be used very successfully for solving contact problems for elliptical domains as well. The existing solutions are cumbersome, contain numerous misprints and are inconvenient to use. The new symbolism introduces a dramatic simplification in the final expressions, and restores some mathematical symmetry and elegance.
Received 19 July 2004.