Theoretical treatment of disc cutters subjected to general cutting forces

Serati, Mehdi, Alehossein, Habib and Williams, David J. (2016) Theoretical treatment of disc cutters subjected to general cutting forces. Journal of Engineering Mathematics, 1-25. doi:10.1007/s10665-015-9839-1


Author Serati, Mehdi
Alehossein, Habib
Williams, David J.
Title Theoretical treatment of disc cutters subjected to general cutting forces
Journal name Journal of Engineering Mathematics   Check publisher's open access policy
ISSN 1573-2703
0022-0833
Publication date 2016-01-22
Sub-type Article (original research)
DOI 10.1007/s10665-015-9839-1
Open Access Status Not Open Access
Start page 1
End page 25
Total pages 25
Place of publication Dordrecht, Netherlands
Publisher Springer
Collection year 2017
Language eng
Formatted abstract
This paper constructs a theoretical framework to investigate the stress and deformation state within the body of a roller disc cutter from the cutter characteristics (radii of the shaft and disc and the length of the shaft), the characteristics of the cut (depth of cut), the mechanical properties of the constructive material (Poisson’s ratio and Young modulus) and the boundary conditions involved during the disc cutting process. To pursue the objectives, mathematical formulations and calculations required for the analysis of elastic variables induced in the disc and shaft parts of a roller disc cutter subjected to general cutting forces are investigated. Assuming elastic material behaviour, the disc cutter in contact with its shaft is considered as a partially loaded annulus, and the shaft inside the disc as a laterally loaded cylinder subjected to stresses corresponding to different cutting configurations. The Airy stress function, Michell’s method and Papkovich–Neuber solutions are employed in two- and three-dimensional elastic domains using a double Fourier series technique.
Keyword Double Fourier series technique
Michell’s method
Papkovich–Neuber functions
Rock cutting
Roller disc cutter
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Civil Engineering Publications
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Created: Mon, 25 Jan 2016, 19:18:27 EST by Mehdi Serati on behalf of School of Civil Engineering