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 language | English |
|---|---|
| Pages (from-to) | 141-148 |
| Number of pages | 8 |
| Journal | Facta Universitatis, Series: Mechanical Engineering |
| Volume | 17 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 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