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Journal of Engineering Mathematics
Published in: Journal of Engineering Mathematics 1/2018

22-08-2018

Surface derivative method for inverse thermal analysis in dry grinding

Author: J. L. González-Santander

Published in: Journal of Engineering Mathematics | Issue 1/2018

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Abstract

Starting from Jaeger’s classical formula for the field of temperature rise during dry surface grinding, an analytical expression for the profile of the heat flux going to the workpiece is derived. This analytical approach, termed the surface derivative method, can be applied very easily to inverse thermal analysis in surface grinding, and is compared herein with other inverse analysis methods reported in literature, viz. the temperature matching method and the Gauss–Newton method. In contrast to these methods, the surface derivative method is much less computationally expensive and does not collapse for high Péclet number.
previous article Dynamics of particle chopping in blenders and food processors

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Appendix
Available only for authorised users
Literature
1.
Malkin S (1985) Current trends in CBN grinding technology. CIRP Ann Manuf Technol 34(2):557–563CrossRef
2.
Guo C, Malkin S (1996) Inverse heat transfer analysis of grinding. Part 1: methods. J Eng Ind 118(1):137–142CrossRef
3.
Knothe K, Liebelt S (1995) Determination of temperatures for sliding contact with applications for wheel-rail systems. Wear 189:91–99CrossRef
4.
Lavisse B, Sinot O, Lefebvre A, Weiss B, Henrion E, Tidu A (2016) Heat flux distribution model in grinding from an inverse heat transfer analysis and foil/workpiece thermocouple measurements. In: Proceedings of the Thirteenth International Conference on High Speed Machining, Metz
5.
De Carvalho RN, Orlande HRB, Özisik MN (2000) Estimation of the boundary heat flux in grinding via the conjugate gradient method. Heat Transf Eng 21(4):71–82CrossRef
6.
Brosse A, Naisson P, Hamdi H, Bergheau JM (2008) Temperature measurement and heat flux characterization in grinding using thermography. J Mater Process Technol 201:590–595CrossRef
7.
8.
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 31:1039–1047CrossRefMATH
9.
González-Santander JL, Pérez J, Fern ández de Córdoba P, Isidro JM (2010) An analysis of the temperature field of the workpiece in dry continuous grinding. J Eng Math 67(3):165–174MathSciNetCrossRefMATH
10.
Jaeger JC (1942) Moving sources of heat and the temperature at sliding contacts. Proc R Soc N S W 76:204–224
11.
Oldham KB, Myland J, Spanier J (2010) An atlas of functions: with equator, the atlas function calculator. Springer, New YorkMATH
12.
Marinescu ID, Rowe WB, Dimitrov B, Inaski I (2004) Tribology of abrasive machining processes. William Andrew Inc., New York
13.
Carslaw HS, Jaeger JC (1959) Conduction of heat in solids, 2nd edn. Clarendon Press, OxfordMATH
14.
González-Santander JL, Valdés Placeres JM, Isidro JM (2011) Exact solution for the time-dependent temperature field in dry grinding: application to segmental wheels. Math Probl Eng. ID 927876
15.
Lebedev NN (1965) Special functions and their applications. Prentice-Hall, New JerseyMATH
16.
Zarudi I, Zhang LC (2002) A revisit to some wheel-workpiece interaction problems in surface grinding. Int J Mach Tool Manuf 42(8):905–913CrossRef
17.
Murav’ev VI, Yakimov AV, Chernysev AV (2003) Effect of deformation, welding, and electrocontact heating on the properties of titanium alloy VT20 in pressed and welded structures. Met Sci Heat Treat 45:419–422CrossRef
18.
Lavine AS (1988) A simple model for convective cooling during the grinding process. J Eng Ind 110:1–6CrossRef
19.
Lavine AS, Malkin S, Jen TC (1989) Thermal aspects of grinding with CBN wheels. CIRP Ann Manuf Technol 38:557–560CrossRef
20.
Guo C, Malkin S (1995) Analysis of energy partitions in grinding. J Eng Ind 117:55–61CrossRef
21.
Sauer WJ (1971) Thermal aspects of grinding. Ph.D. dissertation, Carnegie-Mellon University
22.
Guo C, Wu Y, Varghese V, Malkin S (1999) Temperatures and energy partition for grinding with vitrified CBN wheels. CIRP Ann Manuf Technol 42:247–250CrossRef
23.
Mahdi M, Zhang L (1998) Applied mechanics in grinding-VI. Residual stresses and surface hardening by coupled thermo-plasticity and phase transformation. Int J Mach Tool Manuf 38:1289–1304CrossRef
24.
Rowe WB, Black SC, Mills B, Qi HC, Morgan MN (1995) Experimental investigation of heat transfer in grinding. CIRP Ann Manuf Technol 44:29–332CrossRef
25.
Guo C, Malkin S (1996) Inverse heat transfer analysis of grinding, part 2: applications. J Eng Ind 118(1):143–149CrossRef
26.
27.
González-Santander JL, Martín G (2014) Relative distance between two scalar fields. Application to mathematical modelling approximation. Math Methods Appl Sci 37(18):2906–2922MathSciNetCrossRefMATH
28.
Li YT, Wong R (2008) Integral and series representations of the Dirac delta function. Commun Pure Appl Anal 7(2):229–247MathSciNetMATH
29.
Gradsthteyn IS, Ryzhik IM (2007) Table of integrals, series and products, 7th edn. Academic Press Inc., New York
Metadata
Title
Surface derivative method for inverse thermal analysis in dry grinding
Author
J. L. González-Santander
Publication date
22-08-2018
Publisher
Springer Netherlands
Published in
Journal of Engineering Mathematics / Issue 1/2018
Print ISSN: 0022-0833
Electronic ISSN: 1573-2703
DOI
https://doi.org/10.1007/s10665-018-9969-3

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