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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 58, 2010 - Issue 3
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Original Articles

The FEM-Modeling of the Frictional Heating Phenomenon in the Pad/Disc Tribosystem (A Review)

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Pages 207-226 | Received 09 Apr 2010, Accepted 12 May 2010, Published online: 23 Aug 2010

REFERENCES

  • A. V. Chichinadze , Calculation and Investigation of External Friction During Braking , Nauka , Moscow , 1967 (In Russian) .
  • A. V. Chichinadze , E. D. Braun , et al. ., Calculation, Test and Selection of Frictional Couples , Nauka , Moscow , 1979 (In Russian) .
  • V. A. Balakin and V. P. Sergienko , Heat Calculations of Brakes and Friction Units , MPRI of NASB, Gomel , 1999 (In Russian) .
  • O. O. Evtushenko , E. H. Ivanyk , and N. V. Horbachova , Analytic Methods for Thermal Calculation of Brakes (Review) , Mater Sci , vol. 36 , no. 6 , pp. 857 – 862 , 2000 .
  • S. J. Matysiak and A. A. Yevtushenko , On Heating Problems of Friction , J. Theoretical and Appl. Mech. , vol. 3 , no. 39 , pp. 577 – 588 , 2001 .
  • P. Zagrodzki , Numerical Analysis of Temperature Fields and Thermal Stresses in the Friction Discs of a Multidisc Wet Clutch , Wear , vol. 101 , pp. 255 – 271 , 1985 .
  • P. Zagrodzki , Analysis of Transient Processes in Automatic Transmissions of Loaders, with Particular Reference to Power Shift Clutches, Ph.D. thesis , Warsaw Technical University , Warsaw , 1981 .
  • F. F. Ling , A Quasi-Iterative Method for Computing Interface Temperature Distributions , Zeitschrift für angewandte Mathematik und Physik (ZAMP) , vol. 10 , no. 5 , pp. 461 – 474 , 1959 .
  • J. Crank and P. Nicolson , A Practical Method for Numerical Evaluation of Solutions of Partial Differential Equations of the Heat Conduction Type , Proc. Camb. Phil. Soc. , vol. 43 , pp. 50 – 67 , 1947 .
  • V. T. V. S. Ramachandra Rao , H. Ramasubramanian , and K. N. Seetharamu , Analysis of Temperature Field in Brake Disc for Fade Assessment , Wärme- und Stoffübertragung , vol. 24 , no. 1 , pp. 9 – 17 , 1989 .
  • H. Blok , Fundamental Mechanical Aspects in Boundary Lubrication , SAE Trans. , vol. 46 , pp. 54 – 68 , 1940 .
  • D. G. Grieve , D. C. Barton , D. A. Crolla , and J. T. Buckingham , Design of a Lightweight Automotive Brake Disc using Finite Element and Taguchi Techniques , Proc. Inst Mech. Eng. , vol. 212, Part D , pp. 245 – 254 , 1998 .
  • G. Taguchi , Taguchi on Robust Technology Development , ASME Press , New York , 1993 .
  • F. E. Kennedy , F. Colin , A. Floquet , and R. Glovsky , Improved Techniques for Finite Element Analysis of Sliding Surface Temperatures , Dev. in Numer. and Experi. Meth. Appl. to Tribology , pp. 138 – 150 , 1984 .
  • H. S. Carslaw and J. C. Jaeger , Conduction of Heat in Solids, , 2nd ed., Clarendon Press , Oxford , 1959.
  • J. C. Heinrich , P. S. Huyakorn , O. C. Zienkiewicz , and A. R. Mitchell , An ‘Upwind’ Finite Element Scheme for Two-Dimensional Convective Transport Equation , Int. J. Num. Meth. Engg. , vol. 11 , pp. 131 – 143 , 1967 .
  • B. R. Baliga and S. V. Patankar , A New Finite Element Formulation for Convective Diffusion Problems , Numer. Heat Transfer A , vol. 3 , pp. 393 – 409 , 1980 .
  • W. D. L. Finn and E. Varoglu , A Characteristics Based Finite-Element Method for Heat Transport Problems , in et al. . (eds.), Numer. Meth. in Heat Transfer , pp. 373 – 385 , Wiley-Interscience , New York , 1981 .
  • K. O'Neill and D. Lynch , Efficient, and Highly Accurate Solution of Diffusion, and Convective-Diffusion Problems, using Moving Deformable Coordinates , in et al. . (eds.), Finite Elements in Water Resources, III , 1981 .
  • A. N. Brooks and T. J. R. Hughes , Streamline Upwind/Petrov-Galerkin Formulations for Convective Dominated Flows , Comp. Meth. in Appl. Mech. & Eng. , vol. 32 , pp. 199 – 259 , 1982 .
  • A. Kanarachos , Boundary Layer Refinements in Convective Diffusion Problems , Int. J. for Num. Meth. Eng. , vol. 18 , pp. 167 – 180 , 1982 .
  • A. Floquet and M.-C. Dubourg , Non-Axisymmetric Effects for Three-Dimensional Analysis of a Brake , Trans. ASME, J. Tribol. , vol. 116 , pp. 401 – 408 , 1994 .
  • A. Floquet and M.-C. Dubourg , Realistic Braking Operation Simulation of Ventilated Disk Brakes , ASME J. Tribol. , vol. 118 , pp. 466 – 472 , 1996 .
  • C. H. Gao and X. Z. Lin , Transient Temperature Field Analysis of a Brake in a Non-Axisymmetric Three-Dimensional Model , J. Materials Processing Tech. , vol. 129 , pp. 513 – 517 , 2002 .
  • H. S. Qi and A. J. Day , Investigation of Disc/Pad Interface Temperatures in Friction Braking , Wear , vol. 262 , pp. 505 – 513 , 2007 .
  • H. S. Qi , A Contact Length Model for Grinding Wheel-Workpiece Contact, Ph.D. thesis , Liverpool John Moores University , Liverpool , United Kingdom , 1995 .
  • F. Talati and S. Jalalifar , Investigation of Heat Transfer Phenomena in a Ventilated Disk Brake Rotor with Straight Radial Rounded Vanes , J. Appl. Sci. , vol. 8 , no. 20 , pp. 3583 – 3592 , 2008 .
  • F. Talati and S. Jalalifar , Analysis of Heat Conduction in a Disk Brake System , Heat Mass Transfer , vol. 45 , pp. 1047 – 1059 , 2009 .
  • L. Wallis , E. Leonardi , B. Milton , and P. Joseph , Air Flow and Heat Transfer in Ventilated Disc Brake Rotors with Diamond and Tear-Drop Pillars , Numer. Heat Transfer A , vol. 41 , pp. 643 – 655 , 2002 .
  • A. J. Day and T. P. Newcomb , The Dissipation of Frictional Energy from the Interface of an Annular Disc Brake , Proc. Instn. Mech. Eng. , vol. 198 , no. 11 , pp. 201 – 209 , 1984 .
  • A. J. Day , and T. P. Newcomb , The Use of Finite-Element Analysis to Predict Radial Temperature Distributions in an Annular Brake Path , 7th Leeds/Lyon Symp. on Tribolgy , Paper XII(i) , pp. 333 – 340 , 1980 .
  • G. A. G. Fazekas , Temperature Gradient and Heat Stresses in Brake Drums , SAE Trans. , vol. 61 , no. 1 , pp. 279 – 284 , 1953 .
  • P. Zagrodzki , Analysis of Thermomechanical Phenomena in Multidisc Clutches and Brakes , Wear , vol. 140 , pp. 291 – 308 , 1990 .
  • A. J. Day , M. Tirovic , and T. P. Newcomb , Thermal Effects and Pressure Distributions in Brakes , Proc. Inst. Mech. Eng. , vol. 205 , pp. 199 – 205 , 1991 .
  • M. Tirovic and A. J. Day , Disc Brake Interface Pressure Distributions , Proc. Inst. Mech. Eng. , vol. 205 , pp. 137 – 146 , 1991 .
  • M. Tirovic , Development of a Wheel Mounted Disc Brake for a High-Speed Train, J. Rail & Rapid Transit , vol. 212, no. 2, pp. 113–121, 1998.
  • S. Koetniyom , P. C. Brooks , and D. C. Barton , The Development of a Material Model for Cast Iron that can be used for Brake System Analysis , Proc. Inst. Mech. Eng. , vol. 216 , no. 5 , pp. 349 – 362 , 2002 .
  • Z. Wolejsza , A. Dacko , T. Zawistowski , and J. Osiński , Thermo-Mechanical Analysis of Airplane Carbon-Carbon Composite Brakes using MSC Marc , Worldwide Aerospace Conference and Technology Showcase, Toulouse , vol. 58 , 2001 .
  • C. H. Cho and S. Ahn , Transient Thermoelastic Analysis of Disk Brake using the Fast Fourier Transform and Finite Element Method , J. Thermal Stresses , vol. 25 , pp. 215 – 243 , 2002 .
  • S. Zhaoa , G. E. Hilmas , and L. R. Dharani , Behavior of a Composite Multidisk Clutch Subjected to Mechanical and Frictionally Excited Thermal Load , Wear , vol. 264 , pp. 1059 – 1068 , 2008 .
  • P. Dufrenoy , Two-/Three-Dimensional Hybrid Model of the Thermomechanical Behaviour of Disc Brakes , Proc. Inst. Mech. Eng. , vol. 218 , no. 1 , pp. 17 – 30 , 2004 .
  • D. Thuresson , Influence of Material Properties on Sliding Contact Braking Applications , Wear , vol. 257 , pp. 451 – 460 , 2004 .
  • A. R. Abubakar and H. Ouyang , Wear Prediction of Friction Material and Brake Squeal using the Finite Element Method , Wear , vol. 264 , pp. 1069 – 1076 , 2008 .
  • S. K. Rhee , Wear Equation for Polymers Sliding Against Metal Surfaces , Wear , vol. 16 , pp. 431 – 445 , 1970 .
  • M. Reibenschuh , G. Oder , F. Cus , and I. Potrc , Modelling and Analysis of Thermal and Stress Loads in Train Disc Brakes—Braking from 250 km/h to Standstill , The Strojniški vestnik—J. Mech. Eng. , vol. 55 , pp. 494 – 502 , 2009 .
  • J. R. Barber , The Influence of Thermal Expansion on the Friction and Wear Process , Wear , vol. 10 , pp. 155 – 159 , 1967 .
  • J. R. Barber , Thermoelastic Instabilities in the Sliding of Conforming Solids , Proc. of the Royal Soc. of London , vol. A312 , pp. 381 – 394 , 1969 .
  • F. E. Kennedy , and F. F. Ling , A Thermal , Thermoelastic and Wear Simulation of a High Energy Sliding Contact Problem , ASME J. Lub. Tech. , vol. 96 , pp. 497 – 507 , 1974 .
  • R. A. Burton , V. Nerlikar , and S. R. Kilaparti , Thermoelastic Instability in a Seal-Like Configuration , Wear , vol. 24 , pp. 177 – 188 , 1973 .
  • K. Lee and J. R. Barber , Frictionally Excited Thermoelastic Instability in Automotive Disk Brakes , J. Tribology , vol. 15 , pp. 607 – 614 , 1993 .
  • Y.-B. Yi , S. Du , J. R. Barber , and J. W. Fash , Effect of Geometry on Thermoelastic Instability in Disk Brakes and Clutches , ASME J. Tribology , vol. 121 , pp. 661 – 666 , 1999 .
  • S. Du , P. Zagrodzki , J. R. Barber , and G. M. Hulbert , Finite Element Analysis of Frictionally Excited Thermoelastic Instability , J. Therm. Stresses , vol. 121 , pp. 185 – 201 , 1997 .
  • Y.-B. Yi , J. R. Barber , and P. Zagrodzki , Eigenvalue Solution of Thermoelastic Instability Problems Using Fourier Reduction , Proc. Royal Soc. London A , vol. 456 , pp. 2799 – 2821 , 2000 .
  • Y.-B. Yi , J. R. Barber , and D. L. Hartsock , Thermoelastic Instabilities in Automotive Disc Brakes-Finite Element Analysis and Experimental Verification , in J. A. C. Martins , D. P. Manuel , and M. Marques , (eds.), Contact Mechanics , Kluwer , Dordrecht , pp. 187 – 202 , 2002 .
  • T. Kao , J. W. Richmond , and A. Douarre , Brake Disc Hot Spotting and Thermal Judder: An Experimental and Finite-Element Study , Int. J. Vehicle Design , vol. 23 , pp. 276 – 296 , 2000 .
  • P. Zagrodzki , K. B. Lam , E. Al-Bahkali , and J. R. Barber , Nonlinear Transient Behavior of a Sliding System with Frictionally Excited Thermoelastic Instability, ASME J. Tribology , vol. 123, pp. 699–708, 2001.
  • A. M. Al-Shabibi and J. R. Barber , Transient Solution of a Thermoelastic Instability Problem using a Reduced Order Model , Int. J. Mech. Sci. , vol. 44 , pp. 451 – 464 , 2002 .
  • J.-H. Choi and I. Lee , Transient Thermoelastic Analysis of Disk Brakes in Frictional Contact , J. Thermal Stresses , vol. 26 , pp. 223 – 244 , 2003 .
  • J.-H. Choi and I. Lee , Finite Element Analysis of Transient Thermoelastic Behaviors in Disk Brakes , Wear , vol. 257 , pp. 47 – 58 , 2004 .
  • S. Scieszka and M. Zolnierz , The Effect of the Mine Winder Disc Brake's Design Feature on Its Thermoelastic Instability. Part I. Set-up for Finite Element Modelling and Numerical Model Verification , Zagadnienia Eksploatacji Maszyn , vol. 42 , no. 3 , pp. 111 – 124 , 2007 .
  • S. Scieszka and M. Zolnierz , The Effect of the Mine Winder Disc Brake's Design Feature on Its Thermoelastic Instability. Part II. Finite Element Simulation , Zagadnienia Eksploatacji Maszyn , vol. 42 , no. 4 , pp. 183 – 193 , 2007 .
  • M. Zolnierz , The Effect of the Mine Winder Disc Brake's Design Features on Its Thermoelastic Instability, Ph.D. thesis, Silesian University of Technology, Gliwice, 2006.
  • L. Christie , D. F. Grifflths , A. R. Michell , and O. C. Zienkiewicz , Finite Element Methods for Second Order Differential Eąuations with Significant First Derivatives , Int. J. for Num. Meth. in Eng. , vol. 10 , pp. 1389 – 1396 , 1976 .
  • J. Li and J. R. Barber , Solution of Transient Thermoelastic Contact Problems by the Fast Speed Expansion Method , Wear , vol. 265 , pp. 402 – 410 , 2008 .
  • Y.-B. Yi , Finite Element Analysis of Thermoelastodynamic Instability Involving Frictional Heating , J. Tribology , vol. 128 , pp. 718 – 724 , 2006 .
  • L. Afferrante , M. Ciavarella and J. R. Barber , Sliding Thermoelastodynamic Instability , Proc. R. Soc. London A , vol. 462 , pp. 2161 – 2176 , 2006 .
  • P. Zagrodzki , Thermoelastic Instability in Friction Clutches and Brakes—Transient Modal Analysis Revealing Mechanisms of Excitation of Unstable Modes , Int. J. Solids and Structures , vol. 46 , pp. 2463 – 2476 , 2009 .
  • P. Decuzzi , M. Ciavarella , and G. Monno , Frictionally Excited Thermoelastic Multi-Disk Clutches and Brakes , ASME J. Tribology , vol. 123 , pp. 865 – 871 , 2001 .
  • J. Voldrich , Frictionally Excited Thermoelastic Instability in Disc Brakes—Transient Problem in the Full Contact Regime , Int. J. Mech. Sci. , vol. 49 , pp. 129 – 137 , 2007 .
  • L. Afferrante , M. Ciavarella , P. Decuzzi , and G. Demelio , Transient Analysis of Frictionally Excited Thermoelastic Instability in Multi-Disk Clutches and Brakes , Wear , vol. 254 , pp. 136 – 146 , 2003 .
  • P. Zagrodzki and W. Zhao , Thermoelastic Behaviour of an Automatic Transmission Clutch with a ‘Finger’ Piston Involving Thermoelastic Instability . Int. J. Vehicle Des. , vol. 48 , pp. 97 – 113 , 2008 .

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