Wedging of frictional elastic systems

Sangkyu Kim, Yong Hoon Jang, James R. Barber

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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

Bibliographical note

Funding Information:
Y. H. Jang and S. Kim are pleased to acknowledge support from the National Research Foundation of Korea (NRF) funded by the Korea government (MSIP) (Grant No. 2018R1A2B6008891). We are also grateful to the reviewers for identifying significant mathematical errors in an earlier version of the paper.

Funding Information:
Acknowledgements: Y. H. Jang and S. Kim are pleased to acknowledge support from the National Research Foundation of Korea (NRF) funded by the Korea government (MSIP) (Grant No. 2018R1A2B6008891). We are also grateful to the reviewers for identifying significant mathematical errors in an earlier version of the paper.

Publisher Copyright:
© 2019 by University of Niš, Serbia.

All Science Journal Classification (ASJC) codes

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

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