Determination of critical wedging coefficient for full-contact frictional systems using positive spanning

Sangkyu Kim, Yong Hoon Jang

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

Wedging is a contact phenomenon in which slip displacement persists after the complete removal of the external loading on the system. As no positive spanning sets exist in non-wedged systems, a suitable algorithm is proposed for determining the critical coefficient of friction for wedging. The objective of the algorithm is to determine successive positive bases as the friction coefficient gradually increases, until all the bases are exhausted; therefore, the algorithm determines the critical coefficient of friction for unilateral contact wedging. The algorithm is validated using several examples in the framework of the method of finite elements, which yields the critical wedging coefficient and the corresponding wedge state.

Original languageEnglish
Article number105576
JournalInternational Journal of Mechanical Sciences
Volume177
DOIs
Publication statusPublished - 2020 Jul 1

Bibliographical note

Funding Information:
This research was supported by the National Research Foundation of Korea (NRF) funded by the Korea government (MSIP) (Grant No. 2018R1A2B 6008891). The authors are grateful for the valuable suggestions of Professor J. R. Barber of the University of Michigan, Ann Arbor.

Funding Information:
This research was supported by the National Research Foundation of Korea (NRF) funded by the Korea government (MSIP) (Grant No. 2018R1A2B 6008891 ). The authors are grateful for the valuable suggestions of Professor J. R. Barber of the University of Michigan, Ann Arbor.

Publisher Copyright:
© 2020 Elsevier Ltd

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Fingerprint

Dive into the research topics of 'Determination of critical wedging coefficient for full-contact frictional systems using positive spanning'. Together they form a unique fingerprint.

Cite this