# 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 239 Article Serati, Mehdi (Author), Alehossein, Habib (Author) and Williams, David J. (Author) Journal of Engineering Mathematics 100 (1), pp. 1-25 25 2016 Netherlands 0022-0833 1573-2703 https://doi.org/10.1007/s10665-015-9839-1 http://link.springer.com/article/10.1007%2Fs10665-015-9839-1 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-dimensionalelastic domains using a double Fourier series technique. double fourier series technique; Michell’s method; Papkovich–Neuber functions; rock cutting; roller disc cutter 490399. Numerical and computational mathematics not elsewhere classified 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 thedisc as a laterally loaded cylinder subjected to stresses corresponding to different cutting configurations. The Airystress function, Michell’s method and Papkovich–Neuber solutions are employed in two- and three-dimensionalelastic domains using a double Fourier series technique. University of Queensland School of Civil Engineering and Surveying University of Southern Queensland

https://research.usq.edu.au/item/q367q/theoretical-treatment-of-disc-cutters-subjected-to-general-cutting-forces

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