Finite element implementation of an eigenfunction solution for the contact pressure variation due to wear

Yuwei Liu, Yong Hoon Jang, J. R. Barber

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The classical eigenfunction method for the solution of contact problems involving wear is formulated in the context of the finite element method. Static reduction is used to reduce the full stiffness matrix to the N contact nodes, after which the assumption of a separated variable solution leads to a linear eigenvalue problem with N eigenvalues and eigenfunctions. A general solution to the transient problem can then be written as an eigenfunction series, with the unknown coefficients being determined from the initial conditions.

Original languageEnglish
Pages (from-to)134-138
Number of pages5
JournalWear
Volume309
Issue number1-2
DOIs
Publication statusPublished - 2014 Jan 15

Fingerprint

Eigenvalues and eigenfunctions
Contacts (fluid mechanics)
eigenvectors
Wear of materials
eigenvalues
stiffness matrix
Stiffness matrix
finite element method
Finite element method
coefficients

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Surfaces and Interfaces
  • Surfaces, Coatings and Films
  • Materials Chemistry

Cite this

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Finite element implementation of an eigenfunction solution for the contact pressure variation due to wear. / Liu, Yuwei; Jang, Yong Hoon; Barber, J. R.

In: Wear, Vol. 309, No. 1-2, 15.01.2014, p. 134-138.

Research output: Contribution to journalArticle

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