A new fast method for solving contact plasticity and its application in analyzing elasto-plastic partial slip

Zhanjiang Wang, Xiaoqing Jin, Shuangbiao Liu, Leon M Keer, Jian Cao, Q Jane Wang*

*Corresponding author for this work

Research output: Contribution to journalArticle

29 Scopus citations

Abstract

This paper presents a new method of contact plasticity analysis, based on Galerkin vectors, to solve the stresses caused by eigenstrain or plastic strain. The plastic strain region below the contact surface is divided into a number of elementary cuboids, where the plastic strains are assumed to be constant in every cuboidal element. The influence coefficients, relating plastic strains to residual displacements or residual stresses, can be divided into four terms: one due to the plastic strains in the full space, and others due to the image plastic strains in the virtual half space. Each term can be solved quickly and efficiently by using the three-dimensional discrete convolution and fast Fourier transform or the three-dimensional combined discrete convolution and correlation and fast Fourier transform. This new method is used to analyze the contact plastic residual displacements and residual stresses for several contact cases to reveal its efficiency. Partial slip contact involving an elasto-plastic body is investigated. Results show that the stick-slip behavior is affected by the plastic strains, and the surface stresses exhibit more complex behavior than those from a pure elastic partial slip contact.

Original languageEnglish (US)
Pages (from-to)18-35
Number of pages18
JournalMechanics of Materials
Volume60
DOIs
StatePublished - Feb 18 2013

Keywords

  • Partial slip
  • Plastic contact
  • Stick-slip
  • Three-dimensional FFT

ASJC Scopus subject areas

  • Materials Science(all)
  • Instrumentation
  • Mechanics of Materials

Fingerprint Dive into the research topics of 'A new fast method for solving contact plasticity and its application in analyzing elasto-plastic partial slip'. Together they form a unique fingerprint.

  • Cite this