Efficient numerical modeling of hertzian line contact for material with inhomogeneities

Xiaoqing Jin, Zhanjiang Wang, Qinghua Zhou, Leon M Keer, Q Jane Wang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The present work proposes an efficient and generalpurpose numerical approach for handling two-dimensional inhomogeneities in an elastic half plane. The inhomogeneities can be of any shape, at any location, with arbitrary material properties (which can also be non-homogeneous). To perform the numerical analysis, we first derive an explicit closed-form solution for a rectangular inclusion with uniform eigenstrain components, where the inclusion is aligned with the surface of the half plane. In view of the equivalent inclusion method, an inhomogeneity problem can be converted to a corresponding inclusion problem. In order to determine the distribution of the equivalent eigenstrain, the computational domain is meshed into rectangular elements whose resultant contributions can be efficiently computed using an efficient algorithm based on fast Fourier transform (FFT). In principle, there is no specific limitation on the type of the external load, although our major concern is the contact analysis. Parametric studies are performed and typical results highlighting the deviation of the current solution from the classical Hertzian line contact theory are presented.

Original languageEnglish (US)
Title of host publicationASME/STLE 2012 International Joint Tribology Conference, IJTC 2012
Pages321-323
Number of pages3
DOIs
StatePublished - Dec 1 2012
EventASME/STLE 2012 International Joint Tribology Conference, IJTC 2012 - Denver, CO, United States
Duration: Oct 7 2012Oct 10 2012

Other

OtherASME/STLE 2012 International Joint Tribology Conference, IJTC 2012
CountryUnited States
CityDenver, CO
Period10/7/1210/10/12

ASJC Scopus subject areas

  • Mechanical Engineering
  • Materials Science(all)

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