Theoretical treatment of disc cutters subjected to general cutting forces

Serati, Mehdi and Alehossein, Habib ORCID: https://orcid.org/0000-0002-0276-0877 and Williams, David J. (2016) Theoretical treatment of disc cutters subjected to general cutting forces. Journal of Engineering Mathematics, 100 (1). pp. 1-25. ISSN 0022-0833

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.

Item Type: Article (Commonwealth Reporting Category C) Yes Live Archive 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. Historic - Faculty of Health, Engineering and Sciences - School of Civil Engineering and Surveying (1 Jul 2013 - 31 Dec 2021) Historic - Faculty of Health, Engineering and Sciences - School of Civil Engineering and Surveying (1 Jul 2013 - 31 Dec 2021) 05 Jul 2016 02:47 06 Jan 2022 04:51 double fourier series technique; Michell’s method; Papkovich–Neuber functions; rock cutting; roller disc cutter 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010399 Numerical and Computational Mathematics not elsewhere classified 49 MATHEMATICAL SCIENCES > 4903 Numerical and computational mathematics > 490399 Numerical and computational mathematics not elsewhere classified B Economic Development > 84 Mineral Resources (excl. Energy Resources) > 8402 Primary Mining and Extraction Processes of Mineral Resources > 840299 Primary Mining and Extraction of Mineral Resources not elsewhere classified https://doi.org/10.1007/s10665-015-9839-1 http://eprints.usq.edu.au/id/eprint/28986