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Analytical modeling of adiabatic shear band spacing for serrated chip in high-speed machining

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Abstract

Theoretical prediction of adiabatic shear band spacing is beneficial to understand the mechanism of the serrated chip formation. The momentum equation, energy equation and compatibility equation in orthogonal cutting are established in this paper. Using perturbation analysis by regarding cutting speed and uncut chip thickness as basic disturbance, an analytical solution of adiabatic shear band spacing is developed. Adiabatic shear band spacing of serrated chip is related to the wave number of the perturbation when the growth rate reaches to maximum. It is found that adiabatic shear band spacing decreases with the increase of cutting speed but increases with uncut chip thickness. The experiment of orthogonal cutting Ti6Al4V under different cutting speeds (50 m/min-1800 m/min) and uncut chip thicknesses (0.02 mm-0.16 mm) verifies the validity of the theoretical prediction.

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References

  1. Gente A, Hoffmeister HW (2001) Chip formation in machining Ti6Al4V at extremely high cutting speeds. CIRP Ann Manuf Technol 50(1):49–52

    Article  Google Scholar 

  2. Batra RC, Kim CH (1992) Analysis of shear banding in twelve materials. Int J Plast 8(4):425–452

    Article  Google Scholar 

  3. Wright TW, Ockendon H (1996) A scaling law for the effect of inertia on the formation of adiabatic shear bands. Int J Plast 12(7):927–934

    Article  MATH  Google Scholar 

  4. Batra RC, Chen L (2001) Effect of viscoplastic relations on the instability strain, shear band initiation strain, the strain corresponding to the minimum shear band spacing, and the band width in a thermoviscoplastic material. Int J Plast 17(1):1465–1489

    Article  MATH  Google Scholar 

  5. Molinari A (1997) Collective behavior and spacing of adiabatic shear bands. J Mech Phys Solids 45(9):1551–1575

    Article  MATH  MathSciNet  Google Scholar 

  6. Yang Y, Wang BF, Hu B, Hu K, Li ZG (2005) The collective behavior and spacing of adiabatic shear bands in the explosive cladding plate interface. Mater Sci Eng A 398(1–2):291–296

    Article  Google Scholar 

  7. Batra RC, Wei ZG (2006) Shear band spacing in thermoviscoplastic materials. Int J Impact Eng 32(6):947–967

    Article  Google Scholar 

  8. Yang Q, Liu Z, Wang B (2012) Characterization of chip formation during machining 1045 steel. Int J Adv Manuf Technol 63(9–12):881–886

    Google Scholar 

  9. Bai YL (1982) Thermo-plastic instability in simple shear. J Mech Phys Solids 30(4):195–207

    Article  MATH  Google Scholar 

  10. Batra RC, Chen L (1999) Shear band spacing in gradient-dependent thermoviscoplastic materials. Comput Mech 23(1):8–19

    Article  MATH  Google Scholar 

  11. Daridon L, Oussouaddi O, Ahzi S (2004) Influence of the material constitutive models on the adiabatic shear band spacing: MTS, power law and Johnson-Cook models. Int J Solids Struct 41(11–12):3109–3124

    Article  MATH  Google Scholar 

  12. Tay AO, Stevenson MG, de Vahl DG, Oxley PLB (1976) A numerical method for calculating temperature distributions in machining, from force and shear angle measurements. Int J Mach Tool Des Res 16(4):335–349

    Article  Google Scholar 

  13. Chen L, Batra RC (1999) Effect of material parameters on shear band spacing in work-hardening gradient dependent thermoviscoplastic materials. Int J Plast 15(5):551–574

    Article  MATH  Google Scholar 

  14. Batra RC, Wei ZG (2007) Instability strain and shear band spacing in simple tensile/compressive deformations of thermoviscoplastic materials. Int J Impact Eng 34(3):448–463

    Article  Google Scholar 

  15. Kong F, Chen Y, Zhang D (2011) Interfacial microstructure and shear strength of Ti-6Al-4V/TiAl laminate composite sheet fabricated by hot packed rolling. Mater Des 32(6):3167–3172

    Article  Google Scholar 

  16. Mahboubi Soufiani A, Enayati MH, Karimzadeh F (2010) Mechanical alloying behavior of Ti6Al4V residual scraps with addition of Al2O3 to produce nanostructure powder. Mater Des 31(8):3954–3959

    Article  Google Scholar 

  17. Clifton RJ, Duffy J, Hartley KA, Shawki TG (1984) On critical conditions for shear band formation at high strain rates. Scr Mater 18(5):443–448

    Google Scholar 

  18. Merchant ME (1945) Mechanics of the metal cutting process. I. Orthogonal cutting and a type 2 chip. J Appl Phys 16(5):267–275

    Article  Google Scholar 

  19. Lee EH, Shaffer BW (1951) The theory of plasticity applied to a problem of machining. J Appl Mech-T ASME 18(4):405–413

    Google Scholar 

  20. Oxley PLB, Welsh MJM (1963) Calculating the shear angle in orthogonal metal cutting from fundamental stress, strain, strain-rate properties of the work material. In: Proceedings 4th International Machine Tool Design and Research Conference. Oxford, pp 73–86

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Correspondence to Zhanqiang Liu.

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Yang, Q., Liu, Z., Shi, Z. et al. Analytical modeling of adiabatic shear band spacing for serrated chip in high-speed machining. Int J Adv Manuf Technol 71, 1901–1908 (2014). https://doi.org/10.1007/s00170-014-5633-x

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  • DOI: https://doi.org/10.1007/s00170-014-5633-x

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