References

Please refer to the following paper to understand the background of HotSpotter:

• Yi, Y., Barber, J.R. and Zagrodzki, P., Eigenvalue solution of thermoelastic instability problems using Fourier reduction, Proc. Roy.Soc., Vol. A456, pp.2799--2821, 2000.

Users may also feel interested in the following references:


• Anderson, A.E. & R.A.Knapp, R.A., Hot spotting in automotive friction systems, Wear , Vol. 135, pp.319--337, 1990.
• Azarkhin, A. & Barber, J.R., Transient thermoelastic contact problem of two sliding half-planes, Wear , Vol. 102, pp.1--13., 1985.
• Azarkhin, A. & Barber, J.R., Thermoelastic instability for the transient contact problem of two sliding half-planes, J. Appl. Mech., 53, 565--572.
• Banerjee, B.N. & Burton, R.A., Experimental studies on thermoelastic effect in hydrodynamically lubricated face seals, ASME J. Lub. Tech., 101, 275--282, 1979.
• Barber, J.R., The influence of thermal expansion on the friction and wear process, Wear , Vol. 10, pp.155--159, 1967.
• Barber, J.R., Thermoelastic instabilities in the sliding of conforming solids, Proc. Roy.Soc. , Vol. A312, pp.381--394, 1969.
• Barber, J.R., Some thermoelastic contact problems involving frictional heating, Q.J.Mech.Appl.Math., Vol. 29, pp.1--13, 1976.
• Barber, J.R., The transient termoelastic contact of a sphere sliding on a plane, Wear , 59 , pp.21--29, 1980.
• Barber, J.R., Beamond, T.W., Waring, J.R. & Pritchard, C., Implications of thermoelastic instability for the design of brakes, J.Tribology , 107 , pp.206--210, 1985.
• Blok, Harmen, Azarkhin, A. & Barber, J.R., Transient thermoelastic contact problem of two sliding half-planes, Wear, 102, 1--13, 1985.
• Burton, R.A., Nerlikar, V. & Kilaparti, S.R., Thermoelastic instability in a seal-like configuration, Wear , Vol. 24, pp.177--188, 1973.
• Burton, R.A., Kilaparti, S.R. & Nerlikar, V., A limiting stationary configuration with partiall contacting surfaces Wear , Vol. 24, pp.199--206, 1973.
• Burton, R.A. & Nerlikar, V., Large disturbance solutions for initially flat, frictionally heated thermoelastically deformed surfaces Trans. ASME, Journal of Lubrication Technology, pp.539--545, 1975.
• Bryant, M.D., Wang, J.P. & Lin, J.W. Thermal mounding in high speed dry sliders -- Experiment, theory and comparison Wear, 181, 668--677, 1995.
• Christie, I., Griffiths, D.F., Mitchell, A.R. & Zienkiewicz, O.C. Finite element methods for second order differential equations with significant first derivatives, International Journal for Numerical Methods in Engineering, 10, 1389--1396, 1976.
• Dow, T.A. & Burton, R.A., Thermoelastic instability of sliding contact in the absence of wear, Wear , Vol. 19, pp.315-328, 1972.
• Du, Shuqin, Zagrodzki, P., Barber, J.R. & Hulbert, G.M., Finite element analysis of frictionally-excited thermoelastic instability, J.Thermal Stresses , Vol. 20, pp.185--201, 1997.
• Hartsock, D.L., Hecht, R. & Fash, J.W., Parametric analyses of thermal elastic instability in disc brakes, Ford Motor Company, Technical Report SR-97-159, 1997
• Inoue, H., Analysis of brake judder caused by thermal deformation of brake disk rotors, SAE 865131, 1986.
• Joachim-Ajao D. & Barber, J.R., Effect of material properties in certain thermoelastic contact problems, ASME JOURNAL OF APPLIED MECHANICS , in press.
• Johnson, K.L., Contact Mechanics , Cambridge University Press, Cambridge, pp.123-124, 1985.
• Lam, K.B., Private communication.
• Lee Kwangjin & Barber, J.R., Frictionally-excited thermoelastic instability in automotive disk brakes, ASME JOURNAL OF TRIBOLOGY , Vol.115, pp.607--614, 1993.
• Lee, Kwangjin & Dinwiddie, Ralph B., Conditions of frictional contact in disk brakes and their effects on brake judder, SAE 980598, 1998.
• Dow, T.A. & Burton, R.A., Thermoelastic instability of sliding contact in the absence of wear, Wear 19, 315--328, 1972.
• Dow, T.A. & Stockwell, R.D., Experimental verification of thermoelastic instabilities in sliding contact, ASME J. Lub. Tech., 99, 359--364, 1977.
• Du, S, Zagrodzki, P., Barber, J.R. & Hulbert, G.M., Finite element analysis of frictionally-excited thermoelastic instability, J.Thermal Stresses 20, 185--201, 1997.
• Du, S, Thermoelastic effects in automotive brakes, Ph.D. thesis, The university of Michigan, 1997.
• Floquet, A. & Dubourg, M.C., Non-axisymmetric effects for 3D thermal analysis of a brake, ASME J.Tribology, 116, 401--408, 1994.
• Hartsock, D.L. & Fash, J.W., Effect of pad/caliper stiffness, pad thickness and pad length on thermoelastic instability in disk brakes, ASME J.Tribology, in press.
• Inoue, H., Analysis of brake judder caused by thermal deformation of brake disk rotors, SAE 865131, 1986.
• Johansson, L., Model and numerical algorithm for sliding contact between two elastic half-planes with frictional heat generation and wear Wear 160, 77--93, 1993.
• Kao, T.K., Richmond, J.W. & Douarre, A., Brake disc hot spotting and thermal judder: an experimental and finite element study Int.J.Vehicle Design, 23, 276--296, 2000.
• Kennedy, F.E. & Ling, F.F., A thermal, thermoelastic and wear simulation of a high energy sliding contact problem, ASME J.Lub.Tech. , Vol. 96, pp. 497--507, 1974.
• Kreitlow, W. Schrodter, F. & Matth, H., Vibration and hum of disc brakes under load, SAE 850079, 1985.
• Lee, K. & Barber, J.R., Frictionally-excited thermoelastic instability in automotive disk brakes, ASME J.Tribology 115, 607--614, 1993.
• Lee, K.Frictionally-excited thermoelastic instability in automotive disk brakes, ASME J.Tribology 115, 607--614, 1993.
• Lee, K., Frictionally-excited thermoelastic instability in automotive disk brakes, Ph.D. thesis , 1993.
• Lee, K. & Dinwiddie, R.B., Conditions of frictional contact in disk brakes and their effects on brake judder, SAE 980598, 1998.
• Santini, J.J. & Kennedy, F.E., An experimental investigation of surface temperatures and wear in disk brakes, Lub. Eng., pp.402--417, Aug. 1975.
• van Swaaij, J.L., Thermal damage to railway wheels, Inst. Mech. Eng., Intl. Conf. on Railway Braking, York, p. 95, 1979.
• Yeo, T. & Barber, J.R., Stability of thermoelastic contact of a layer and a half-plane, J.Thermal Stresses , 14, 371--388, 1991.
• Yeo, T. & Barber, J.R., Finite element analysis of the thermoelastic contact stability, ASME J. Appl.Mech., 61, pp.919--922, 1994.
• Yeo, T. & Barber, J.R., Finite element analysis of the stability of static thermoelastic contact, J.Thermal Stresses , 19, 169--184, 1996.
• Yi, Y-B., Du, S., Barber, J.R. & Fash, J.W., Effect of geometry on thermoelastic instability in disk brakes and clutches, ASME J.Tribology, 121, 661--666, 1999.
• Zagrodzki, P., Analysis of thermomechanical phenomena in multidisc clutches and brakes, Wear 140, 291--308, 1990.
• Zagrodzki, P. Lam, K.B., Al-Bahkali, E. & Barber, J.R., Simulation of a sliding system with frictionally-excited thermoelastic instability Thermal Stresses '99 , Cracow, Poland, 1999.
• Zienkiewicz, O.C. The Finite Element Method , McGraw-Hill, New York, 4th edn, 1989.
• Vernersson, T., Thermally induced roughness of tread-braked railway wheels Part 1: brake rig experiments Wear 236, 96--105, 1999.
• Vernersson, T., Thermally induced roughness of tread-braked railway wheels Part 2: modelling and field measurements Wear 236, 106--116, 1999.