Contact around a Sharp Corner with Small Scale Plasticity

Zupan Hu

doi:doi:10.11648/j.am.s.2017060101.12

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Contact around a Sharp Corner with Small Scale Plasticity

Zupan Hu

Published in Advances in Materials (Volume 6, Issue 1-1)

Received: 31 October 2016 Accepted: 8 November 2016 Published: 8 December 2016

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Abstract

Owing to elastic singularity, the contact stress around a sharp corner is highly sensitive to the boundary conditions and local geometrical details. Determination of such stress is critical in predicting failures such as wear, fretting fatigue and crack initiation. In this paper, the stress around such corner is analyzed based on linear elasticity and small scale plasticity. The stress on the contact interface is generalized in a way that the results can be easily converted to represent another corner with different dimensions or boundary conditions. An example is presented to show the determination of the stress scale and the formulation of a generalized solution. It is shown that the generalized macro stress field away from the corner dominates the contact behaviors around the corner.

Published in	Advances in Materials (Volume 6, Issue 1-1) This article belongs to the Special Issue Advances in Multiscale Modeling Approach
DOI	10.11648/j.am.s.2017060101.12
Page(s)	10-17
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2016. Published by Science Publishing Group

Keywords

Partial Slip, Stress Singularity, Plastic Yielding

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Zupan Hu. (2016). Contact around a Sharp Corner with Small Scale Plasticity. Advances in Materials, 6(1-1), 10-17. https://doi.org/10.11648/j.am.s.2017060101.12

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ACS Style

Zupan Hu. Contact around a Sharp Corner with Small Scale Plasticity. Adv. Mater. 2016, 6(1-1), 10-17. doi: 10.11648/j.am.s.2017060101.12

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AMA Style

Zupan Hu. Contact around a Sharp Corner with Small Scale Plasticity. Adv Mater. 2016;6(1-1):10-17. doi: 10.11648/j.am.s.2017060101.12

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@article{10.11648/j.am.s.2017060101.12,
  author = {Zupan Hu},
  title = {Contact around a Sharp Corner with Small Scale Plasticity},
  journal = {Advances in Materials},
  volume = {6},
  number = {1-1},
  pages = {10-17},
  doi = {10.11648/j.am.s.2017060101.12},
  url = {https://doi.org/10.11648/j.am.s.2017060101.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.am.s.2017060101.12},
  abstract = {Owing to elastic singularity, the contact stress around a sharp corner is highly sensitive to the boundary conditions and local geometrical details. Determination of such stress is critical in predicting failures such as wear, fretting fatigue and crack initiation. In this paper, the stress around such corner is analyzed based on linear elasticity and small scale plasticity. The stress on the contact interface is generalized in a way that the results can be easily converted to represent another corner with different dimensions or boundary conditions. An example is presented to show the determination of the stress scale and the formulation of a generalized solution. It is shown that the generalized macro stress field away from the corner dominates the contact behaviors around the corner.},
 year = {2016}
}

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TY  - JOUR
T1  - Contact around a Sharp Corner with Small Scale Plasticity
AU  - Zupan Hu
Y1  - 2016/12/08
PY  - 2016
N1  - https://doi.org/10.11648/j.am.s.2017060101.12
DO  - 10.11648/j.am.s.2017060101.12
T2  - Advances in Materials
JF  - Advances in Materials
JO  - Advances in Materials
SP  - 10
EP  - 17
PB  - Science Publishing Group
SN  - 2327-252X
UR  - https://doi.org/10.11648/j.am.s.2017060101.12
AB  - Owing to elastic singularity, the contact stress around a sharp corner is highly sensitive to the boundary conditions and local geometrical details. Determination of such stress is critical in predicting failures such as wear, fretting fatigue and crack initiation. In this paper, the stress around such corner is analyzed based on linear elasticity and small scale plasticity. The stress on the contact interface is generalized in a way that the results can be easily converted to represent another corner with different dimensions or boundary conditions. An example is presented to show the determination of the stress scale and the formulation of a generalized solution. It is shown that the generalized macro stress field away from the corner dominates the contact behaviors around the corner.
VL  - 6
IS  - 1-1
ER  -

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Author Information

Zupan Hu

Department of Mechanical Engineering, University of Michigan, Ann Arbor, USA

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Zupan Hu. (2016). Contact around a Sharp Corner with Small Scale Plasticity. Advances in Materials, 6(1-1), 10-17. https://doi.org/10.11648/j.am.s.2017060101.12

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ACS Style

Zupan Hu. Contact around a Sharp Corner with Small Scale Plasticity. Adv. Mater. 2016, 6(1-1), 10-17. doi: 10.11648/j.am.s.2017060101.12

Copy | Download

AMA Style

Zupan Hu. Contact around a Sharp Corner with Small Scale Plasticity. Adv Mater. 2016;6(1-1):10-17. doi: 10.11648/j.am.s.2017060101.12

Copy | Download

@article{10.11648/j.am.s.2017060101.12,
  author = {Zupan Hu},
  title = {Contact around a Sharp Corner with Small Scale Plasticity},
  journal = {Advances in Materials},
  volume = {6},
  number = {1-1},
  pages = {10-17},
  doi = {10.11648/j.am.s.2017060101.12},
  url = {https://doi.org/10.11648/j.am.s.2017060101.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.am.s.2017060101.12},
  abstract = {Owing to elastic singularity, the contact stress around a sharp corner is highly sensitive to the boundary conditions and local geometrical details. Determination of such stress is critical in predicting failures such as wear, fretting fatigue and crack initiation. In this paper, the stress around such corner is analyzed based on linear elasticity and small scale plasticity. The stress on the contact interface is generalized in a way that the results can be easily converted to represent another corner with different dimensions or boundary conditions. An example is presented to show the determination of the stress scale and the formulation of a generalized solution. It is shown that the generalized macro stress field away from the corner dominates the contact behaviors around the corner.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - Contact around a Sharp Corner with Small Scale Plasticity
AU  - Zupan Hu
Y1  - 2016/12/08
PY  - 2016
N1  - https://doi.org/10.11648/j.am.s.2017060101.12
DO  - 10.11648/j.am.s.2017060101.12
T2  - Advances in Materials
JF  - Advances in Materials
JO  - Advances in Materials
SP  - 10
EP  - 17
PB  - Science Publishing Group
SN  - 2327-252X
UR  - https://doi.org/10.11648/j.am.s.2017060101.12
AB  - Owing to elastic singularity, the contact stress around a sharp corner is highly sensitive to the boundary conditions and local geometrical details. Determination of such stress is critical in predicting failures such as wear, fretting fatigue and crack initiation. In this paper, the stress around such corner is analyzed based on linear elasticity and small scale plasticity. The stress on the contact interface is generalized in a way that the results can be easily converted to represent another corner with different dimensions or boundary conditions. An example is presented to show the determination of the stress scale and the formulation of a generalized solution. It is shown that the generalized macro stress field away from the corner dominates the contact behaviors around the corner.
VL  - 6
IS  - 1-1
ER  -

Copy | Download