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
Permalink -

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

Log in to edit
  • 1655
    total views
  • 7
    total downloads
  • 1
    views this month
  • 0
    downloads this month

Export as

Related outputs

Failure characterization of fully grouted rock bolts under triaxial testing
Nourizadeh, Hadi, Mirzaghorbanali, Ali, Serati, Mehdi, Mahmoud, Mutaz El-Amin, McDougall, Kevin and Aziz, Naj. 2024. "Failure characterization of fully grouted rock bolts under triaxial testing." Journal of Rock Mechanics and Geotechnical Engineering. 16 (3), pp. 778-789. https://doi.org/10.1016/j.jrmge.2023.08.013
Crack damage evolution in coal at elevated temperatures
Serati, Mehdi, Kwan, King Ho Benny, Gordon, Nick, Moravej, Sasan, Bahaaddini, Mojtaba and Mirzaghorbanali, Ali. 2022. "Crack damage evolution in coal at elevated temperatures." Aziz, Naj and Mirzaghorbanali, Ali (ed.) 2022 Resource Operators Conference (ROC2022). Australia Feb 2022 Wollongong, Australia.
Fracture propagation mode of coal under indirect tensile stresses
Serati, Mehdi, Roshan, Hamid, Mirzaghorbanali, Ali, Mahmoud, Mutaz El-Amin and Thejaswee, Valluru. 2021. "Fracture propagation mode of coal under indirect tensile stresses." Aziz, Naj and Mirzaghorbanali, Ali (ed.) 2021 Resource Operators Conference (ROC2021). Springfield, Australia 10 - 12 Feb 2021 Australia.
A case of Longwall coal mining productivity & safety optimisation
Ardehali, Sahar, Alehossein, Habib, Aziz, Naj, Bowerman, Matthew and Robbins, Matt. 2021. "A case of Longwall coal mining productivity & safety optimisation." Aziz, Naj and Mirzaghorbanali, Ali (ed.) 2021 Resource Operators Conference (ROC2021). Springfield, Australia 10 - 12 Feb 2021 Australia.
Backfill grouting for mining subsidence prevention
Alehossein, Habib, Shen, Baotang and Qin, Zongyi. 2021. "Backfill grouting for mining subsidence prevention." Aziz, Naj and Mirzaghorbanali, Ali (ed.) 2021 Resource Operators Conference (ROC2021). Springfield, Australia 10 - 12 Feb 2021 Australia.
Axial behaviour of rock bolts - Part (B) Numerical study
Nourizadeh, Hadi, Mirzaghorbanali, Ali, McDougall, Kevin, Aziz, Naj and Serati, Mehdi. 2021. "Axial behaviour of rock bolts - Part (B) Numerical study." Aziz, Naj and Mirzaghorbanali, Ali (ed.) 2021 Resource Operators Conference (ROC2021). Springfield, Australia 10 - 12 Feb 2021 Australia.
Axial behaviour of rock bolts - Part (A) Experimental study
Nourizadeh, Hadi, Williams, Sally, Mirzaghorbanali, Ali, McDougall, Kevin, Aziz, Naj and Serati, Mehdi. 2021. "Axial behaviour of rock bolts - Part (A) Experimental study." Aziz, Naj and Mirzaghorbanali, Ali (ed.) 2021 Resource Operators Conference (ROC2021). Springfield, Australia 10 - 12 Feb 2021 Australia.
Mapping cavitation impact field in a submerged cavitating jet
Peng, Kewen, Tian, Shouceng, Li, Gensheng and Alehossein, Habib. 2018. "Mapping cavitation impact field in a submerged cavitating jet." Wear. 396-397, pp. 22-33. https://doi.org/10.1016/j.wear.2017.11.006
High-impact engineering education: using the LTI to influence knowledge and skills for sustainable economy
Alehossein, Habib. 2014. "High-impact engineering education: using the LTI to influence knowledge and skills for sustainable economy." 25th Annual Conference of the Australasian Association for Engineering Education (AAEE 2014). Wellington, New Zealand 07 - 10 Dec 2014 Palmerston North, New Zealand.
Heat transfer during cavitation bubble collapse
Qin, Zongyi and Alehossein, Habib. 2016. "Heat transfer during cavitation bubble collapse." Applied Thermal Engineering. 105, pp. 1067-1075. https://doi.org/10.1016/j.applthermaleng.2016.01.049
Modelling cohesive, frictional and viscoplastic materials
Alehossein, Habib. 2015. "Modelling cohesive, frictional and viscoplastic materials." 13th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2015). Rhodes, Greece 23 - 29 Sep 2015
The Brazilian disc test under a non-uniform contact pressure along its thickness
Serati, Mehdi, Alehossein, Habib and Erarslan, Nazife. 2016. "The Brazilian disc test under a non-uniform contact pressure along its thickness." Rock Mechanics and Rock Engineering. 49 (4), pp. 1573-1577. https://doi.org/10.1007/s00603-015-0773-3
Estimating the tensile strength of superhard brittle materials using truncated spheroidal specimens
Serati, Mehdi, Alehossein, Habib and Williams, David J.. 2015. "Estimating the tensile strength of superhard brittle materials using truncated spheroidal specimens." Journal of the Mechanics and Physics of Solids. 78, pp. 123-140. https://doi.org/10.1016/j.jmps.2015.02.011
Analytical and experimental study of pressure dynamics in a pulsed water jet device
Dehkhoda, Sevda, Hood, Michael, Alehossein, Habib and Buttsworth, David. 2012. "Analytical and experimental study of pressure dynamics in a pulsed water jet device." Flow, Turbulence and Combustion. 89 (1), pp. 97-119. https://doi.org/10.1007/s10494-012-9393-0