Finite Element Simulation of Physical Phenomena in Real Conditions of a Single Grain Cutting Process

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The cutting process was presented as a real object as well as its physical and mathematical modelling. For the description of the non-linear phenomena, at the typical increment ratio, the updated Lagrange's description was used. Adequate deformation and stress increments measurements were used, e.g. Green-Lagrange's deformation tensor increment and the increment of the Piola-Kirchhoff's second symmetrical tensor. Nonlinearity of the material was described by means of the increment model taking into consideration the deformation and deformation rate records. The workpiece is treated as a body in which there may be elastic deformation (in the range of reversible deformation) and visco and plastic (in terms of irreversible deformation), with nonlinear hardening. For the construction of the material model Huber-Mises-Hencky's non-linear plasticity condition was used, associated principle of flow as well as mixed hardening (isotopic-kinematic). The condition of the material after pre-machining processes was also taken into account by means of implementation of initial conditions of: displacement, strain and stress. Yield stress of the body was described by a Cowper-Symonds' model allows for linear-isotropic, kinematic or mixed plastic strain hardening and the effect of the intensity of plastic strain velocity. The applications in ANSYS program and results of numerical calculations were presented. A method of generating a three-dimensional abrasive grain with a geometry close to actual were describes. The influence of the process parameters on the states of strains and stresses and on the quality of the product was presented. Numerical calculations of cutting process with single abrasive grain were made and investigated the deformation and stress occurring in the workpiece. The experimental test stand of single abrasive grain cutting process, the test plan and the verifications of results of numerical simulations were describes. The results were statistically developed and that’s give the models in the regression function form.

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288-297

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August 2016

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[1] V. K. Jain, R. Kumar, P. M. Dixit, A. Sidpara, , Investigations into abrasive flow finishing of complex workpieces using FEM, Wear 267 (2008) 71–80.

DOI: 10.1016/j.wear.2008.11.005

Google Scholar

[2] D. Andersonn, A. Warkentin, R. Bauer, Experimental and numerical investigations of single abrasive-grain cutting, International Journal of Machine Tools & Manufacture51 (2011) 1898–910.

DOI: 10.1016/j.ijmachtools.2011.08.006

Google Scholar

[3] D. A. Doman, A. Warkentin, R. Bauer, Finite element modeling approaches in grinding, International Journal of Machine Tools & Manufacture 49 (2008) 109–116.

DOI: 10.1016/j.ijmachtools.2008.10.002

Google Scholar

[4] J.C. Aurich, B. Kirsch, Kinematic simulation of high-performance grinding for analysis of chip parameters of single grains, CIRP Journal of Manufacturing Science and Technology 5 (2012) 164–174.

DOI: 10.1016/j.cirpj.2012.07.004

Google Scholar

[5] W. Olszak, Machining process, WNT, Warsaw, (2008).

Google Scholar

[6] J. Borkowski, The basis application of monocrystalline abrasive grains of silicon carbide in machining, WSInż., Koszalin, 6, (1979).

Google Scholar

[7] J. Borkowski, The elementary phenomena of usage of grains and abrasive tools, WSInż., Koszalin, 16, (1983).

Google Scholar

[8] K. Woźniak, Abrasive materials – production and properties, WNT, Warszawa, (1982).

Google Scholar

[9] L. Kukielka, Mathematical modelling and numerical simulation of non-linear deformation of the asperity in the burnishing cold rolling operation. in: J. Dominguez, C.A. Brebbia (Eds. ), Fifth International Conference on Computation Methods in Contact Mechanics. WITPRESS. Southampton, Boston, 2001, pp.317-326.

Google Scholar

[10] L. Kukielka, K. Kukielka, A. Kulakowska, R. Patyk, L. Malag, L. Bohdal, Incremental Modelling and Numerical Solution of the Contact Problem between Movable Elastic and Elastic/Visco-Plastic Bodies and Application in the Technological Processes, in: K. Velíšek, P. Košťál and M. Nad (Eds. ), Applied Mechanics and Materials Novel Trends in Production Devices and Systems, USA-SLOVAKIA, 2014, pp.159-165.

DOI: 10.4028/www.scientific.net/amm.474.159

Google Scholar

[11] D. Anderson, A. Warkentin, R. Bauer, Comparison of spherical and truncated cone geometries for single abrasive-grain cutting, Journal of Materials Processing Technology 212 (2012) 1946– (1953).

DOI: 10.1016/j.jmatprotec.2012.04.021

Google Scholar

[12] L. Fang, B. Li, J. Zhao, K. Sun, Computer simulation of the two-body abrasion process modeling the particle as a paraboloid of revolution, Journal of Materials Processing Technology 209 (2009) 6124–6133.

DOI: 10.1016/j.jmatprotec.2009.04.017

Google Scholar

[13] X. Li, Y. Grong, Framework of grinding process modeling and simulation based on microscopic interaction analysis, Robotics and Computer-Integrated Manufacturing 27 (2011) 471–478.

DOI: 10.1016/j.rcim.2010.06.029

Google Scholar

[14] K.J. Kleiber, Finite element method in nonlinear continuum mechanics, Library of Mechanics Applied, Institute of Fundamental Technological Research, Polish Academy of Science, PWN, Warszawa, (1982).

Google Scholar

[15] M. Forysiewicz, Analysis of the deformation and stress condition in the visco-elastic-plastic materials processing area during a high-speed single-blade cutting, PhD thesis, Koszalin, (2015).

Google Scholar

[16] L. Kukielka, M. Szczepańska, J. Chodór, Discretized modelling and numerical analysis of machining process with single abrasive grain using finite element method, IBM, Radom, (2009) 110-119.

Google Scholar

[17] L. Kukielka, P. Bartosik, M. Forysiewicz, J. Chodór J., Stereometry numerical modelling of abrasive grains on the basis of the iractual images, Machining - contemporary the problems, PAK – Measurement Automation and Monitoring, Warszawa (2011).

Google Scholar

[18] K. J. Bathe., Finite element procedures. Englewood Cliffs, Prentice-Hall, New York, (1996).

Google Scholar

[19] L. Kukielka, Application of the variational and finite element methods to dynamic incremental nonlinear analysis in the burnishing rolling operation, 13th European Simulation Multiconference (ESM 99), in: H. Szczerbicka (Ed. ), Modelling and simulation a tool for the next millenium, vol. II, Warsaw, 1999, pp.221-225.

Google Scholar

[20] L. Kukielka, T. Krzyzynski, New thermo-elastic thermo-visco-plastic material model and its application. Conference Annual Meeting of the Society for Applied Mathematics and Mechanics (GAMM 99), Metz, Zeitschrift fur Angewande Mathematik und Mechanik, vol. 80, sup. 3, 2000, pp. S595-S596.

Google Scholar

[21] L. Kukielka, Numerical modelling the contact problem of movable elasto/visco-plastic body. in: C.A. Brebbia (Ed. ), Computation Methods in Contact Mechanics VI. WITPRESS, Southampton, Boston, 2003, p.93104.

Google Scholar

[22] P. Myslinski, W. Precht, L. Kukielka, et al, A possibility of appliaction of MTDIL to the residual stresses analysis - The hard coating substrate system. Journal of thermal analysis and calorimetry, Vol. 77, issue 1, 2004, p.253258.

DOI: 10.1023/b:jtan.0000033210.69839.5e

Google Scholar

[23] L. Kukielka, K. Kukielka, Numerical analysis of the physical phenomena in the working zone in the rolling process of the round thread. in: J.T.M. DeHosson, C.A. Brebbia, S.I. Nishida (Eds. ), Computer Methods and Experimental Measurements for Surface Effects and Contact Mechanics VIII. WITPRESS, Vol. 55, Southampton, Boston, 2007, p.125134.

DOI: 10.2495/secm070121

Google Scholar

[24] L. Kukielka, New damping of models of metallic materials and its application in non-linear dynamical cold processes of metal forming. Steel Research International Special Edition, Volume 81, Number 9, Publishing Company Verlag Stahleisen GmbH ISBN 978 – 3 –514 – 00774 –1, 2010, p.1482.

Google Scholar