Abstract
The mechanical interaction between two bodies involves normal loading in combination with tangential, torsional and rotational loading. This paper focuses on the torsional loading of two spherical bodies which leads to twisting moment. The theoretical approach for calculating twisting moment between two spherical bodies has been proposed by Lubkin [1]. Due to the complexity of the solution, this has been simplified by Deresiewicz for discrete element modelling [2]. Here, the application of a simplified model for elastoplastic spheres is verified using computational modelling. The single grain interaction is simulated in a combined finite discrete element domain. In this domain a grain can deform using a finite element formulation and can interact with other objects based on discrete element principles. For an elastoplastic model, the contact area is larger in comparison with the elastic model, under a given normal force. Therefore, the plastic twisting moment is stiffer. The results presented here are important for describing any granular system involving torsional loading of elastoplastic grains. In particular, recent research on the behaviour of soil has clearly shown the importance of plasticity on grain interaction and rearrangement.
Highlights
Mathematical models have been incorporated into discrete modelling of granular system describing the force-displacement relationship between two contacting rigid bodies
When MT in combination with normal loading is applied to two grains in contact, the contact area will undergo some angular displacement (β)
By combining Lubkin’s solution with normal force distribution, the twisting moment can be obtained from the following expression [1, 5]: MT
Summary
Mathematical models have been incorporated into discrete modelling of granular system describing the force-displacement relationship between two contacting rigid bodies. Depending on the distribution of normal forces, the region that meets the Coulomb friction condition will experience sliding and the rest of the contact area will undergo sticking [5, 6]. By combining Lubkin’s solution with normal force distribution, the twisting moment can be obtained from the following expression [1, 5]: PFN a u 4S. The results have implications for describing a granular system with elastoplastic grains
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
