Contact problems involving beams
- Authors
- Kim, Jae Hyung; Ahn, Young Ju; Jang, Yong Hoon; Barber, J. R.
- Issue Date
- Dec-2014
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- Contact problems; Beams; Plates; Finite element methods; Asymptotic methods
- Citation
- INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, v.51, no.25-26, pp.4435 - 4439
- Journal Title
- INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
- Volume
- 51
- Number
- 25-26
- Start Page
- 4435
- End Page
- 4439
- URI
- https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/16518
- DOI
- 10.1016/j.ijsolstr.2014.09.013
- ISSN
- 0020-7683
- Abstract
- Elastic contact problems involving Euler Bernoulli beams or Kirchhoff plates generally involve concentrated contact forces. Linear elasticity (e.g. finite element) solutions of the same problems show that finite contact regions are actually developed, but these regions have dimensions that are typically of the order of the beam thickness. Thus if beam theory is appropriate for a given structural problem, the local elasticity fields can be explored by asymptotic methods and will have fairly general (problem independent) characteristics. Here we show that the extent of the contact region is a fixed ratio of the beam thickness which is independent of the concentrated load predicted by the beam theory, and that the distribution of contact pressure in this region has a universal form, which is well approximated by a simple algebraic expression. (C) 2014 Elsevier Ltd. All rights reserved.
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Collections - College of Science and Technology > Department of Mechanical and Design Engineering > 1. Journal Articles
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