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An analysis of the temperature field of the workpiece in dry continuous grinding. (English) Zbl 1194.74053
Summary: The recent model for heat transfer during intermittent grinding described in [D. L. Skuratov et al., Appl. Math. Modelling 31, No. 6, 1039–1047 (2007; Zbl 1153.80002)] is considered. This model is particularized to the case of continuous dry grinding, where an alternative solution is obtained in the steady state. This alternative solution is analytically equivalent to the well-known formula of J. C. Jaeger [J. Proc. R. Soc. N S W 76, 204–224 (1942)] for the steady-state temperature field created by an infinite moving source of heat and proves to be very useful for evaluating the maximum point of the temperature.
MSC:
74F05Thermal effects in solid mechanics
74M15Contact (solid mechanics)
References:
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[2]Gu RJ, Shillor M, Barber GC, Jen T (2004) Thermal analysis of the grinding process. Math Comput Model 39: 991–1003 · Zbl 1112.74371 · doi:10.1016/S0895-7177(04)90530-4
[3]Jen T-C, Lavine AS (1995) A variable heat flux model of heat transfer in grinding: model development. ASME J Heat Transf 117: 473–478 · doi:10.1115/1.2822546
[4]Skuratov D, Ratis Y, Selezneva I, Pérez J, Fernández de Córdoba P, Urchueguía J (2007) Mathematical modelling and analytical solution for workpiece temperature in grinding. Appl Math Model 31: 1039–1047 · Zbl 1153.80002 · doi:10.1016/j.apm.2006.03.023
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[6]Pérez J, Hoyas S, Skuratov D, Ratis Y, Selezneva I, Fernández de Córdoba P, Urchueguía J (2008) Heat transfer analysis of intermittent grinding processes. Int J Heat Mass Transf 51: 4132–4138 · Zbl 1148.80336 · doi:10.1016/j.ijheatmasstransfer.2007.11.043
[7]Jaeger JC (1942) Moving sources of heat and the temperature at sliding contacts. Proc R Soc NSW 76: 204–224
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