Journals →  Gornyi Zhurnal →  2019 →  #8 →  Back

EQUIPMENT AND MATERIALS
ArticleName Mathematical model of internal surface wear in shovel buckets
DOI 10.17580/gzh.2019.08.13
ArticleAuthor Sarychev V. D., Granovskiy A. Yu., Nevskiy S. A.
ArticleAuthorData

Siberian State Industrial University, Novokuznetsk, Russia:

V. D. Sarychev, Associate Professor, Candidate of Engineering Sciences
A. Yu. Granovskiy, Junior Researcher
S. A. Nevskiy, Associate Professor, Candidate of Engineering Sciences, nevskiy.sergei@yandex.ru

Abstract

The mathematical model is developed to describe flow of rocks as viscous incompressible fluid in shovel bucket by the methods of mechanics of granular media. The model involves the Navier–Stokes equations and the boundary conditions. The bucket is modeled by a rectangular parallelepiped with one face set permeable for granular medium, while at the other faces the conditions of impermeability and adhesion are set. The resultant system of equations is solved by the finite element method using the Comsol Multiphysics software. Eventually, the velocity distribution on the bucket surface is obtained. The analysis of the velocities shows that the flow of granular material can be divided into three stages. At the first stage, the granular material flows along the lower internal surface of the bucket, and the flow is structured as a stream. The stream hits the back end cover of the bucket. After the hit, the flow becomes instable, which results in formation of a vortex structure at the conjugation of the bottom and back end cover of the bucket. At the third stage, the granular material spreads along the back surface at the decreased pressure. The pressure distribution on the bucket walls is determined. It shows that the maximum pressure is observed at the conjugation of the bottom and back end cover of the bucket. This explains the increased wear of these surfaces during bucket operation. Thus, it is required to reinforce the bottom and back end cover of the bucket by applying an armoring grid made of composites by the method of electric-arc deposition.
The study was supported by the RF President’s grant for young scientists, Project No. MK-118.2019.2.

keywords Shovel bucket, granular media, Navier–Stokes equation, viscous fluid approximation, pressure, rock, finite element method
References

1. Bogdanov A. P., Gaynullin A. A., Efimov A. A., Levkovich R. V., Naumov D. S., Okulov K. Yu. Metal ware defects of mine excavators. Universum: Tekhnicheskie nauki. 2015. No. 11(22).

2. Grnezh B. HARDOX Steels in Mining. Gornaya promyshlennost. 2008. No. 3(79). pp. 34–38.
3. Raykov S. V. Utilization of new materials for hardening facing of surfaces of excavator buckets. Zagotovitelnye proizvodstva v mashinostroenii. 2014. No. 12. pp. 10–13.
4. Konovalov S. V., Kormyshev V. E., Gromov V. E., Ivanov Yu. F., Kapralov E. V. Phase composition and defect substructure of double surfacing, formed with V–Cr–Nb–W powder wire on steel. Inorganic Materials: Applied Research. 2017. Vol. 8, Iss. 2. pp. 313–317.
5. Dahm K. L., Torskaya E., Goryacheva I., Dearnley P. A. Tribological effects on subsurface interfaces. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology. 2007. Vol. 221, Iss. 3. pp. 345–353.
6. Sarychev V. D., Nevskii S. A., Gromov V. E. The theoretical analysis of stress-strain state of materials with gradient structure. Materials Physics and Mechanics. 2015. Vol. 22, No. 2. pp. 157–169.
7. Goryacheva I. G., Rajeev P. T., Farris T. N. Wear in Partial Slip Contact. Journal of Tribology. 2001. Vol. 123, No. 4. pp. 848–856.
8. Revuzhenko A. F. Mechanics of granular media: Some basic problems and applications. Journal of Mining Science. 2014. Vol. 50, Iss. 5. pp. 819–830.
9. Vaisberg L. А., Demidov I. V., Ivanov K. S. Mechanics of granular media under vibration action: the methods of description and mathematical modeling. Obogashchenie Rud. 2015. No. 4. pp. 21–31. DOI: 10.17580/or.2015.04.05
10. Marinelli F., Van den Eijnden A. P., Sieffert Y., Chambon R., Collin F. Modeling of granular solids with computational homogenization: Comparison with Biot’s theory. Finite Elements in Analysis and Design. 2016. Vol. 119. pp. 45–62.
11. Shvab A. V., Martsenko A. A., Martsenko M. S. Modeling of hydrodynamics of highly concentrated granulated media in the blending silo. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika. 2013. No. 4(24). pp. 126–132.
12. Bignonnet F., Dormieux L., Kondo D. A micro-mechanical model for the plasticity of porous granular media and link with the Cam clay model. International Journal of Plasticity. 2016. Vol. 79. pp. 259–274.
13. Tarantino M. G., Weber L., Mortensen A. Effect of hydrostatic pres sure on flow and deformation in highly reinforced particulate composites. Acta Materialia. 2016. Vol. 117. pp. 345–355.
14. Bele E., Goel A., Pickering E. G., Borstnar G., Katsamenis O. L. et al. Deformation mechanisms of i dealised cermets under multi-axial loading. Journal of the Mechanics and Physics of Solids. 2017. Vol. 102. pp. 80–100.

Language of full-text russian
Full content Buy
Back