Hybrid SPH-FEM solver for metal cutting simulations on the GPU including thermal contact modeling

Nanyuan Zhang1, Hagen Klippel1, Mohamadreza Afrasiabi1,2, Matthias Röthlin3, Michal Kuffa1,4, Markus Bambach2, Konrad Wegener1
1Institute of Machine Tools & Manufacturing, D-MAVT, ETH Zürich, Leonhardstrasse 21, Zürich 8092, Switzerland
2Advanced Manufacturing Lab, D-MAVT, ETH Zurich, Technoparkstrasse 1, Zürich 8005, Switzerland
3Federal Office of Meteorology & Climatology, MeteoSwiss, Zürich-Airport, 8058, Switzerland
4Inspire AG, Technoparkstrasse 1, Zürich 8005, Switzerland

Tài liệu tham khảo

Arrazola, 2013, Recent advances in modelling of metal machining processes, CIRP Annals, 62, 695, 10.1016/j.cirp.2013.05.006 Melkote, 2022, A review of advances in modeling of conventional machining processes: from merchant to the present, Journal of Manufacturing Science and Engineering, 1 Sadeghifar, 2018, A comprehensive review of finite element modeling of orthogonal machining process: chip formation and surface integrity predictions, The International Journal of Advanced Manufacturing Technology, 96, 3747, 10.1007/s00170-018-1759-6 Markopoulos, 2020, Meshless methods for the simulation of machining and micro-machining: a review, Archives of Computational Methods in Engineering, 27, 831, 10.1007/s11831-019-09333-z Heinstein, M., Segalman, D., 1997. Simulation of Orthogonal Cutting with Smooth Particle Hydrodynamics, Technical Report. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Limido, 2007, SPH method applied to high speed cutting modelling, International Journal of Mechanical Sciences, 49, 898, 10.1016/j.ijmecsci.2006.11.005 Calamaz, 2009, Toward a better understanding of tool wear effect through a comparison between experiments and SPH numerical modelling of machining hard materials, International Journal of Refractory Metals and Hard Materials, 27, 595, 10.1016/j.ijrmhm.2008.09.005 Islam, 2020, Numerical simulation of metal machining process with Eulerian and Total Lagrangian SPH, Engineering Analysis with Boundary Elements, 117, 269, 10.1016/j.enganabound.2020.05.007 Wang, 2020, Numerical study via total Lagrangian smoothed particle hydrodynamics on chip formation in micro cutting, Advances in Manufacturing, 8, 144, 10.1007/s40436-020-00297-z Nam, 2016, A numerical cutting model for brittle materials using smooth particle hydrodynamics, The International Journal of Advanced Manufacturing Technology, 82, 133, 10.1007/s00170-015-7223-y Duan, 2017, SPH and FE coupled 3D simulation of monocrystal SiC scratching by single diamond grit, International Journal of Refractory Metals and Hard Materials, 64, 279, 10.1016/j.ijrmhm.2016.09.016 Ba, 2018, Thermomechanical total Lagrangian SPH formulation for solid mechanics in large deformation problems, Computer Methods in Applied Mechanics and Engineering, 342, 458, 10.1016/j.cma.2018.07.038 Frissane, 2019, 3d smooth particle hydrodynamics modeling for high velocity penetrating impact using gpu: application to a blunt projectile penetrating thin steel plates, Computer Methods in Applied Mechanics and Engineering, 357, 10.1016/j.cma.2019.112590 Young, 2021, Adaptive total Lagrangian Eulerian SPH for high-velocity impacts, International Journal of Mechanical Sciences, 192, 10.1016/j.ijmecsci.2020.106108 Fraser, K.A., 2017. Robust and Efficient Meshfree Solid Thermo-mechanics Simulation of Friction Stir Welding (Ph.D. thesis). Université du Québec à Chicoutimi. Müller, 2004, Interaction of fluids with deformable solids, Computer Animation and Virtual Worlds, 15, 159, 10.1002/cav.18 Zhang, 2011, Coupling of smoothed particle hydrodynamics and finite element method for impact dynamics simulation, Engineering Structures, 33, 255, 10.1016/j.engstruct.2010.10.020 Fuchs, 2021, A novel smoothed particle hydrodynamics and finite element coupling scheme for fluid–structure interaction: the sliding boundary particle approach, Computer Methods in Applied Mechanics and Engineering, 383, 10.1016/j.cma.2021.113922 Afrasiabi, 2021, An improved thermal model for SPH metal cutting simulations on GPU, Applied Mathematical Modelling, 100, 728, 10.1016/j.apm.2021.08.010 Arrazola, 2010, Investigations on the effects of friction modeling in finite element simulation of machining, International Journal of Mechanical Sciences, 52, 31, 10.1016/j.ijmecsci.2009.10.001 Ganzenmüller, 2014, 66 Crespo, 2015, DualSPHysics: open-source parallel CFD solver based on smoothed particle hydrodynamics (SPH), Computer Physics Communications, 187, 204, 10.1016/j.cpc.2014.10.004 Hu, 2017, Thermomechanically coupled conduction mode laser welding simulations using smoothed particle hydrodynamics, Computational Particle Mechanics, 4, 473, 10.1007/s40571-016-0140-5 Fürstenau, J.-P., 2020. Particle-based Simulation of the Selective Laser Melting Process (Ph.D. thesis). Institut für Kontinuumsmechanik, Hannover. Röthlin, 2019, Metal cutting simulations using smoothed particle hydrodynamics on the GPU, The International Journal of Advanced Manufacturing Technology, 102, 3445, 10.1007/s00170-019-03410-0 Afrasiabi, 2019, Meshfree simulation of metal cutting: an updated Lagrangian approach with dynamic refinement, International Journal of Mechanical Sciences, 160, 451, 10.1016/j.ijmecsci.2019.06.045 Röthlin, M., 2019. Meshless Software Tool to Simulate Metal Cutting Operations by Employing Contemporary Numerical Methods. ETH Zurich. Afrasiabi, M., Saelzer, J., Berger, S., Iovkov, I., Klippel, H., Röthlin, M., Zabel, A., Biermann, D., Wegener, K., 2021. A numerical-experimental study on orthogonal cutting of AISI 1045 steel and Ti6Al4V alloy: SPH and FEM modeling with newly identified friction coefficients. Metals, 11, p. 1683. Klippel, 2021, Simulation of the ductile machining mode of silicon, The International Journal of Advanced Manufacturing Technology, 115, 1565, 10.1007/s00170-021-07167-3 Klippel, H., 2021. Constitutive Equations for Simulation of Metal Cutting with Meshless Methods on GPU (Ph.D. thesis). ETH Zurich, 2021. Grzesik, 2008 Courbon, 2013, On the existence of a thermal contact resistance at the tool-chip interface in dry cutting of AISI 1045: Formation mechanisms and influence on the cutting process, Applied Thermal Engineering, 50, 1311, 10.1016/j.applthermaleng.2012.06.047 Atlati, 2014, Thermomechanical modelling of the tool–workmaterial interface in machining and its implementation using the ABAQUS VUINTER subroutine, International Journal of Mechanical Sciences, 87, 102, 10.1016/j.ijmecsci.2014.05.034 Giovenco, 2019, Importance of the contact interface definition in the numerical simulation of tool wear in metal cutting, AIP Conference Proceedings, 2113, 10.1063/1.5112615 Haddag, 2015, Analysis of the heat transfer at the tool–workpiece interface in machining: determination of heat generation and heat transfer coefficients, Heat and Mass Transfer, 51, 1355, 10.1007/s00231-015-1499-1 Bencheikh, 2020, Multi-step simulation of multi-coated tool wear using the coupled approach XFEM/multi-level-set, Tribology International, 146, 10.1016/j.triboint.2019.106034 Klippel, 2022, Cutting force prediction of Ti6Al4V using a machine learning model of SPH orthogonal cutting process simulations, Journal of Machine Engineering, 22, 111, 10.36897/jme/147201 Taylor, 1934, The latent energy remaining in a metal after cold working, Proceedings of the Royal Society of London Series A, Containing Papers of a Mathematical and Physical Character, 143, 307 Afrasiabi, 2020, GPU-accelerated meshfree simulations for parameter identification of a friction model in metal machining, International Journal of Mechanical Sciences, 176, 10.1016/j.ijmecsci.2020.105571 Wriggers, 2006, Vol. 2 Rech, 2013, Characterisation of friction and heat partition coefficients at the tool-work material interface in cutting, CIRP Annals, 62, 79, 10.1016/j.cirp.2013.03.099 Li, 2002, Meshfree and particle methods and their applications, Applied Mechanics Reviews, 55, 1, 10.1115/1.1431547 Monaghan, 2005, Smoothed particle hydrodynamics, Reports on Progress in Physics, 68, 1703, 10.1088/0034-4885/68/8/R01 Brookshaw, 1985, A method of calculating radiative heat diffusion in particle simulations, Publications of the Astronomical Society of Australia, 6, 207, 10.1017/S1323358000018117 Price, 2012, Smoothed particle hydrodynamics and magnetohydrodynamics, Journal of Computational Physics, 231, 759, 10.1016/j.jcp.2010.12.011 Monaghan, 1983, Shock simulation by the particle method SPH, Journal of Computational Physics, 52, 374, 10.1016/0021-9991(83)90036-0 Gray, 2001, SPH elastic dynamics, Computer Methods in Applied Mechanics and Engineering, 190, 6641, 10.1016/S0045-7825(01)00254-7 Monaghan, 1989, On the problem of penetration in particle methods, Journal of Computational Physics, 82, 1, 10.1016/0021-9991(89)90032-6 Swegle, 1995, Smoothed particle hydrodynamics stability analysis, Journal of Computational Physics, 116, 123, 10.1006/jcph.1995.1010 Röthlin, M., Klippel, H., Wegener, K., 2018. Meshless Methods for Large Deformation Elastodynamics. arXiv:1807.01117. Shimrat, 1962, Algorithm 112: position of point relative to polygon, Communications of the ACM, 5, 434, 10.1145/368637.368653 Nianfei, 2009, 3D adaptive RKPM method for contact problems with elastic–plastic dynamic large deformation, Engineering Analysis with Boundary Elements, 33, 1211, 10.1016/j.enganabound.2008.07.009 Hallquist, 2006, 25 Abaqus, G., 2011. Abaqus 6.11. Dassault Systemes Simulia Corporation, Providence, RI, USA. Cecka, 2011, Assembly of finite element methods on graphics processors, International Journal for Numerical Methods in Engineering, 85, 640, 10.1002/nme.2989 Kiran, 2019, GPU-warp based finite element matrices generation and assembly using coloring method, Journal of Computational Design and Engineering, 6, 705, 10.1016/j.jcde.2018.11.001 Bell, N., Garland, M., 2008. Efficient Sparse Matrix-vector Multiplication on CUDA, Technical Report, Citeseer. Filippone, 2017, Sparse matrix-vector multiplication on GPGPUs, ACM Transactions on Mathematical Software (TOMS), 43, 1, 10.1145/3017994 Knepley, 2013, Finite element integration on GPUs, ACM Transactions on Mathematical Software (TOMS), 39, 1, 10.1145/2427023.2427027 Georgescu, 2013, GPU acceleration for FEM-based structural analysis, Archives of Computational Methods in Engineering, 20, 111, 10.1007/s11831-013-9082-8 Ljungkvist, K., 2017. Finite Element Computations on Multicore and Graphics Processors (Ph.D. thesis). Acta Universitatis Upsaliensis. Pichler, 2019, Finite element method completely implemented for graphic processor units using parallel algorithm libraries, The International Journal of High Performance Computing Applications, 33, 53, 10.1177/1094342017694703 Naumov, M., Chien, L., Vandermersch, P., Kapasi, U., 2010. cuSPARSE library. In: Proceedings of the GPU Technology Conference. Harris, 2007, Optimizing parallel reduction in CUDA, NVIDIA Developer Technology, 2, 70 Sima, 2010, Modified material constitutive models for serrated chip formation simulations and experimental validation in machining of titanium alloy Ti–6Al–4V, International Journal of Machine Tools and Manufacture, 50, 943, 10.1016/j.ijmachtools.2010.08.004 Calamaz, 2008, A new material model for 2D numerical simulation of serrated chip formation when machining titanium alloy Ti–6Al–4V, International Journal of Machine Tools and Manufacture, 48, 275, 10.1016/j.ijmachtools.2007.10.014 Laakso, 2017, Too sharp for its own good–Tool edge deformation mechanisms in the initial stages of metal cutting, Procedia Manufacturing, 11, 449, 10.1016/j.promfg.2017.07.135 Laakso, 2018, The mystery of missing feed force—the effect of friction models, flank wear and ploughing on feed force in metal cutting simulations, Journal of Manufacturing Processes, 33, 268, 10.1016/j.jmapro.2018.05.024 Wyen, 2010, Influence of cutting edge radius on cutting forces in machining titanium, CIRP Annals, 59, 93, 10.1016/j.cirp.2010.03.056 Klippel, H., Süssmaier, S., Kuffa, M., Wegener, K., 2022. Dry Cutting Experiments Database Ti6Al4V and Ck45, arXiv preprint arXiv:2209.04197. Ducobu, 2021, On the selection of an empirical material constitutive model for the finite element modeling of Ti6Al4V orthogonal cutting, including the segmented chip formation, International Journal of Material Forming, 14, 361, 10.1007/s12289-020-01535-2 Guediche, 2015, A new procedure to increase the orthogonal cutting machining time simulated, Procedia CIRP, 31, 299, 10.1016/j.procir.2015.04.096 Denkena, 2021, Numerical and experimental analysis of thermal and mechanical tool load when turning AISI 52100 with ground cutting edge microgeometries, CIRP Journal of Manufacturing Science and Technology, 35, 494, 10.1016/j.cirpj.2021.08.006 Kryzhanivskyy, 2018, Heat flux in metal cutting: experiment, model, and comparative analysis, International Journal of Machine Tools and Manufacture, 134, 81, 10.1016/j.ijmachtools.2018.07.002 Müller, 2001, Development of a fast fiber-optic two-color pyrometer for the temperature measurement of surfaces with varying emissivities, Review of Scientific Instruments, 72, 3366, 10.1063/1.1384448 Davies, 2007, On the measurement of temperature in material removal processes, CIRP Annals, 56, 581, 10.1016/j.cirp.2007.10.009