Fast Fourier transform based numerical methods for elasto-plastic contacts of nominally flat surfaces

W. Wayne Chen, Shuangbiao Liu, Q. Jane Wang

Research output: Contribution to journalArticle

77 Scopus citations

Abstract

This paper presents a three-dimensional numerical elasto-plastic model for the contact of nominally flat surfaces based on the periodic expandability of surface topography. This model is built on two algorithms: the continuous convolution and Fourier transform (CC-FT) and discrete convolution and fast Fourier transform (DC-FFT), modified with duplicated padding. This model considers the effect of asperity interactions and gives a detailed description of subsurface stress and strain fields caused by the contact of elasto-plastic solids with rough surfaces. Formulas of the frequency response functions (FRF) for elastic/plastic stresses and residual displacement are given in this paper. The model is verified by comparing the numerical results to several analytical solutions. The model is utilized to simulate the contacts involving a two-dimensional wavy surface and an engineering rough surface in order to examine its capability of evaluating the elasto-plastic contact behaviors of nominally flat surfaces.

Original languageEnglish (US)
Pages (from-to)110221-1102211
Number of pages991991
JournalJournal of Applied Mechanics, Transactions ASME
Volume75
Issue number1
DOIs
StatePublished - Jan 1 2008

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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