Blog
About

100
views
0
recommends
+1 Recommend
1 collections
    6
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Boundary element method (BEM) applied to the rough surface contact vs. BEM in computational mechanics

      Read this article at

      ScienceOpenPublisher
      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          In the numerical study of rough surfaces in contact problem, the flexible body beneath the roughness is commonly assumed as a half-space or a half-plane. The surface displacement on the boundary, the displacement components and state of stress inside the half-space can be determined through the convolution of the traction and the corresponding influence function in a closed-form. The influence function is often represented by the Boussinesq-Cerruti solution and the Flamant solution for three-dimensional elasticity and plane strain/stress, respectively. In this study, we rigorously show that any numerical model using the above mentioned half-space solution is a special form of the boundary element method (BEM). The boundary integral equations (BIEs) in the BEM is simplified to the Flamant solution when the domain is strictly a half-plane for the plane strain/stress condition. Similarly, the BIE is degraded to the Boussinesq-Cerruti solution if the domain is strictly a half-space. Therefore, the numerical models utilizing these closed-form influence functions are the special BEM where the domain is a half-space (or a half-plane). This analytical work sheds some light on how to accurately simulate the non-half-space contact problem using the BEM.

          Related collections

          Author and article information

          Contributors
          Journal
          Friction
          Friction
          Tsinghua University Press (Beijing/Hong Kong )
          2223-7704
          2223-7690
          01 August 2019
          01 October 2019
          : 7
          : 4
          : 359-371
          Affiliations
          1Mechanical Engineering Department, Auburn University, AL 36849, USA
          Author notes
          *Corresponding author: Yang XU, E-mail: yang.xu@ 123456auburn.edu
          Article
          s40544-018-0229-3
          10.1007/s40544-018-0229-3
          Copyright © Journals of Tsinghua University Press

          This is an open-access article distributed under the terms of the Creative Commons Attribution 4.0 Unported License (CC BY-NC 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. See https://creativecommons.org/licenses/by-nc/4.0/.

          Categories
          Research Articles

          Comments

          Comment on this article