**Journal of Theoretical**

and Applied Mechanics

and Applied Mechanics

**0**, 0, pp. , Warsaw 0

### Effect of the temporal profile of the friction power on temperature of the pad-disc brake system

*Keywords*: braking, friction power, frictional heating, temperature, heat flux

#### References

ABRAMOWITZ M., STEGUN I. A., 1964, Handbook of mathematical functions with formulas, graphs and mathematical tables. National Bureau of Standards, Appl. Math., series 55

BARBER J. R., COMNINOU M., 1989, Thermoelastic contact problems, in Thermal Stresses III ( ed. Hetnarski R), North Holland, Amsterdam, 1–106

CARSLAW H. S., JAEGER J. C., 1959 Conduction of heat in solids. 2nd ed., Clarendon Press, Oxford

CHARRON F., 1943, Partage de la chaleur entre deux corps frottants. Publ. Scient. et Techn. Ministere Air, article 182

CHICHINADZE A. V., 1967, Calculation and study of external friction during braking. Nauka, Moscow (in Russian).

CHICHINADZE A. V., 2009, Theoretical and practical problems of thermal dynamics and simulation of the friction and wear of tribocouples, J. Frict. Wear, (3) 275–295

LING F. F., 1959, A quasi-iterative method for computing interface temperature distributions. ZAMP 10:461–474

LUIKOV A. V., 1968, Analytical heat diffusion theory. Academic Press, New York

MATYSIAK S. J., YEVTUSHENKO A. A., IVANYK E. G., 2002, Contact temperature and wear of composite friction elements during braking. Int J Heat Mass Transf 45:193–199

NEWCOMB T. P., SPURR R.T., 1967, Braking of road vehicles, Chapman and Hall, London

NOSKO A. L., NOSKO A. P., 2006, Solution of contact heating problem with account for heat transfer between the friction members. J Frict Wear 30:615–625

PRUDNIKOV A. P., BRYCHKOV YU. A., MARICHEV О. I., 1986, Integrals and series. Elementary functions. Gordon and Breach, New York

SAZONOV V. S., 2008, Nonideal contact problem of nonstationary heat conduction for two half-spaces. J Eng Phys Thermophys 81:397–408

TOPCZEWSKA K., Influence of friction power on temperature in the process of braking, Materials Science, 53 (2) (2017) 235–242

YEVTUSHENKO A. A., KUCIEJ M., 2012, One-dimensional thermal problem of friction during braking: The history of development and actual state. Int J Heat Mass Transf 55: 4118–4153

YEVTUSHENKO A., KUCIEJ M., OCH E., 2015, Some methods for calculating temperature during the friction of thermosensitive materials. Num Heat Transf. Part A 67:696–718

YEVTUSHENKO A., KUCIEJ M., OCH E., 2016, Effect of the thermal sensitivity in modeling of the frictional heating during braking. Advances in Mechanical Engineering 8 (12):1–10

YEVTUSHENKO A., KUCIEJ M., TOPCZEWSKA K., 2017, Analytical model for investigation of the effect of friction power on temperature in the disk brake. Advances in Mechanical Engineering 9 (12):1–12