Wedging of frictional elastic systems

Sangkyu Kim, Yong Hoon Jang, James R. Barber

Research output: Contribution to journalArticle

Abstract

We consider discrete two-dimensional elastic systems with Coulomb friction contacts, and investigate the conditions that must be satisfied if these are to be capable of becoming ‘wedged’---i.e. of remaining with non-zero elastic deformations when all external loads have been removed. The condition for wedging is reduced to the requirement that a prescribed set of constraint vectors should fail to positively span the N-dimensional vector space of nodal displacements. We also show that the range of admissible wedged states increases monotonically with the coefficient of friction f and that there exists a unique critical coefficient fw such that wedging is impossible for f < fw and possible for f > fw.

Original languageEnglish
Pages (from-to)141-148
Number of pages8
JournalFacta Universitatis, Series: Mechanical Engineering
Volume17
Issue number2
DOIs
Publication statusPublished - 2019 Jan 1

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Friction
Elastic deformation
Vector spaces

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Mechanics of Materials
  • Mechanical Engineering
  • Polymers and Plastics
  • Industrial and Manufacturing Engineering

Cite this

Kim, Sangkyu ; Jang, Yong Hoon ; Barber, James R. / Wedging of frictional elastic systems. In: Facta Universitatis, Series: Mechanical Engineering. 2019 ; Vol. 17, No. 2. pp. 141-148.
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Wedging of frictional elastic systems. / Kim, Sangkyu; Jang, Yong Hoon; Barber, James R.

In: Facta Universitatis, Series: Mechanical Engineering, Vol. 17, No. 2, 01.01.2019, p. 141-148.

Research output: Contribution to journalArticle

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