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Boundary element method (BEM) applied to the rough surface contact vs. BEM in computational mechanics
- Source :
- Friction, Vol 7, Iss 4, Pp 359-371 (2018)
- Publication Year :
- 2018
- Publisher :
- SpringerOpen, 2018.
-
Abstract
- 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.
Details
- Language :
- English
- ISSN :
- 22237690 and 22237704
- Volume :
- 7
- Issue :
- 4
- Database :
- Directory of Open Access Journals
- Journal :
- Friction
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.7cbb0341f52448b69f11309f014bae39
- Document Type :
- article
- Full Text :
- https://doi.org/10.1007/s40544-018-0229-3