Theoretical treatment of disc cutters subjected to general cutting forces

Article


Serati, Mehdi, Alehossein, Habib and Williams, David J.. 2016. "Theoretical treatment of disc cutters subjected to general cutting forces." Journal of Engineering Mathematics. 100 (1), pp. 1-25. https://doi.org/10.1007/s10665-015-9839-1
Article Title

Theoretical treatment of disc cutters subjected to general cutting forces

ERA Journal ID239
Article CategoryArticle
AuthorsSerati, Mehdi (Author), Alehossein, Habib (Author) and Williams, David J. (Author)
Journal TitleJournal of Engineering Mathematics
Journal Citation100 (1), pp. 1-25
Number of Pages25
Year2016
Place of PublicationNetherlands
ISSN0022-0833
1573-2703
Digital Object Identifier (DOI)https://doi.org/10.1007/s10665-015-9839-1
Web Address (URL)http://link.springer.com/article/10.1007%2Fs10665-015-9839-1
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.

Keywordsdouble fourier series technique; Michell’s method; Papkovich–Neuber functions; rock cutting; roller disc cutter
ANZSRC Field of Research 2020490399. Numerical and computational mathematics not elsewhere classified
Public Notes

Files associated with this item cannot be displayed due to copyright restrictions. 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.

Byline AffiliationsUniversity of Queensland
School of Civil Engineering and Surveying
Institution of OriginUniversity of Southern Queensland
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