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Cutting Mechanics and Analytical Modeling

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Abstract

Prior to the description of the most important modeling methods and their features, it would be helpful to introduce some questions that may come to mind of those who want to use modeling, and attempt to give answers. Although some answers are already given in the previous chapter, a more elaborated approach is presented in this section. The questions raised apply to all kinds of modeling; the answers mostly concern FEM, without excluding all the other methods. In the next chapter some more questions and answers, this time solely for FEM, will be presented.

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References

  1. Grzesik W (2008) Advanced machining processes of metallic materials. Theory modelling and applications. Elsevier, Oxford

    Google Scholar 

  2. Shaw MC (1984) Metal cutting principles. Oxford University Press, Oxford

    Google Scholar 

  3. van Luttervelt CA, Childs THC, Jawahir IS, Klocke F, Venuvinod PK (1998) Present situation and future trends in modeling of machining operations. In: Progress report of the CIRP working group “modeling and machining operations”. Annals of the CIRP, vol 47/2, pp. 587–626

    Google Scholar 

  4. Stephenson DA, Agapiou JS (2006) Metal cutting theory and practice, 2nd edn. CRC Press, FL

    Google Scholar 

  5. Zorev NN (1966) Metal cutting mechanics. Pergamon Press, Oxford

    Google Scholar 

  6. Finnie I (1956) Review of the metal cutting analyses of the past hundred years. Mech Eng 78(8):715–721

    Google Scholar 

  7. Cocquilhat M (1851) Expériences sur la Resistance Utile Produite dans le Forage. Annales Travaux Publics en Belgique 10:199–215

    Google Scholar 

  8. Time I (1870) Resistance of metals and wood to cutting (in Russian). Dermacow Press House, St. Petersbourg

    Google Scholar 

  9. Astakhov VP (1999) Metal cutting mechanics. CRC Press, FL

    Google Scholar 

  10. Usachev YG (1915) Phenomena occurring during the cutting of metals—review of the studies completed (in Russian). Izv. Petrogradskogo Politechnicheskogo Inst., XXIII(1)

    Google Scholar 

  11. Tresca H (1873) Mémoires sur le Rabotage des Métaux. Bulletin de la Société d’ Encouragement pour l’ Industrie Nationale, 585–607

    Google Scholar 

  12. Zvorykin KA (1896) On the force and energy necessary to separate the chip from the workpiece (in Russian). Vetnik Promyslennostie, 123

    Google Scholar 

  13. Mallock A (1881–1882) The action of cutting tools. Proc Roy Soc Lond 33:127–139

    Google Scholar 

  14. Ernst H, Merchant ME (1941) Chip formation, friction and high quality machined surfaces. Surface treatment of metals. Am Soc Met 29:299–378

    Google Scholar 

  15. Childs THC, Maekawa K, Obikawa T, Yamane Y (2000) Metal machining: theory and applications. Elsevier, MA

    Google Scholar 

  16. Bhattacharyya A (1994) Metal cutting theory and practice. New Central Book Agency Ltd, Kolkata

    Google Scholar 

  17. Oxley PLB (1989) The mechanics of machining: an analytical approach to assessing machinability. Ellis Horwood, Chichester

    Google Scholar 

  18. Dixit PM, Dixit US (2008) Modeling of metal forming and machining processes by finite element and soft computing methods. Springer, London

    Google Scholar 

  19. Piispanen V (1937) Lastunmuodostumisen Teoriaa. Teknillinen Aikakauslehti 27:315–322

    Google Scholar 

  20. Piispanen V (1948) Theory of formation of metal chips. J Appl Phys 19:876–881

    Article  Google Scholar 

  21. Merchant ME (1945) Mechanics of the metal cutting process II. Plasticity conditions in orthogonal cutting. J Appl Phys 16(6):318–324

    Article  Google Scholar 

  22. Lee EH, Shaffer BW (1951) The theory of plasticity applied to a problem of machining. Trans ASME—J Appl Mech 18:405–413

    Google Scholar 

  23. Kudo H (1965) Some new slip-line solutions for two-dimensional steady-state machining. Int J Mech Sci 7:43–55

    Article  Google Scholar 

  24. Dewhurst P (1978) On the non-uniqueness of the machining process. Proc Roy Soc Lond A360:587–610

    Article  Google Scholar 

  25. Astakhov VP (2005) On the inadequacy of the single-shear plane model of chip formation. Int J Mech Sci 47:1649–1672

    Article  MATH  Google Scholar 

  26. Shaw MC, Cook NH, Smith PA (1952) The mechanics of three-dimensional cutting operations. Trans ASME 74:1055–1064

    Google Scholar 

  27. Morcos WA (1980) A slip line field solution of the free continuous cutting problem in conditions of light friction at chip-tool interface. Trans ASME—J Eng Ind 102:310–314

    Article  Google Scholar 

  28. Usui E, Hirota A, Masuko M (1978) Analytical prediction of three dimensional cutting process. Part 1. Basic cutting model and energy approach. Trans ASME—J Eng Ind 100:222–228

    Article  Google Scholar 

  29. Usui E, Hirota A (1978) Analytical prediction of three dimensional cutting process. Part 2. Chip formation and cutting force with conventional single-point tool. Trans ASME—J Eng Ind 100:229–235

    Article  Google Scholar 

  30. Usui E, Shirakashi T, Kitagawa T (1978) Analytical prediction of three dimensional cutting process. Part 3. Cutting temperature and crater wear of carbide tool. Trans ASME—J Eng Ind 100:236–243

    Article  Google Scholar 

  31. Ehmann KF, Kapoor SG, DeVor RE, Lazoglu I (1997) Machining process modeling: a review. Trans ASME—J Manuf Sci Eng 119:655–663

    Article  Google Scholar 

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Correspondence to Angelos P. Markopoulos .

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Markopoulos, A.P. (2013). Cutting Mechanics and Analytical Modeling. In: Finite Element Method in Machining Processes. SpringerBriefs in Applied Sciences and Technology(). Springer, London. https://doi.org/10.1007/978-1-4471-4330-7_2

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  • DOI: https://doi.org/10.1007/978-1-4471-4330-7_2

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-4329-1

  • Online ISBN: 978-1-4471-4330-7

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