Khan M A, Cooper D, Starr A. BS-ISO helical gear fatigue life estimation and wear quantitative feature analysis. Strain 45(4): 358–363(2009)
Wang X C, Mo J L, Ouyang H, Wang D W, Chen G X, Zhu M H, Zhou Z R. Squeal noise of friction material with groove-textured surface: An experimental and numerical analysis. J Tribol 138(2): 021401 (2016)
Soobbarayen K, Besset S, Sinou J J. A simplified approach for the calculation of acoustic emission in the case of friction-induced noise and vibration. Mech Syst Signal Process 50–51: 732–756(2015)
Sergienko V P, Bukharov S N. Noise and Vibration in Friction Systems. Cham (Switzerland): Springer, 2014.
Kirkup. The boundary element method in acoustics: A survey. Appl Sci 9(8): 1642 (2007)
Harari I, Hughes T J R. A cost comparison of boundary element and finite element methods for problems of time-harmonic acoustics. Comput Methods Appl Mech Eng 97(1): 77–102(1992)
Hadfield M, Brebbia C A. Tribology and Design II. Southampton: WIT Press, 2012.
Bayer R G. Selection and Use of Wear Tests for Metals. West Conshohocken (USA): ASTM International, 1976.
Blau P J. Embedding wear models into friction models. Tribol Lett 34(1): 75–79(2009)
Park J Y, Salmeron M. Fundamental aspects of energy dissipation in friction. Chem Rev 114(1): 677–711(2014)
Blau P J. The significance and use of the friction coefficient. Tribol Int 34(9): 585–591(2001)
Akay A. Acoustics of friction. J Acoust Soc Am 111(4): 1525–1548(2002)
Pennestrì E, Rossi V, Salvini P, Valentini P P. Review and comparison of dry friction force models. Nonlinear Dyn 83(4): 1785–1801(2016)
Gnecco E, Meyer E. Fundamentals of Friction and Wear on the nano-scale. Berlin (Germany): Springer, 2015.
Bowden F P, Tabor D, Palmer F. The friction and lubrication of solids. Am J Phys 19(7): 428–429(1951)
Persson B N J, Sivebaek I M, Samoilov V N, Zhao K, Volokitin A I, Zhang Z Y. On the origin of Amonton’s friction law. J Phys: Condens Matter 20(39): 395006 (2008)
Archard J F. Contact and rubbing of flat surfaces. J Appl Phys 24(8): 981–988(1953)
Bayer R J. Mechanical Wear Fundamentals and Testing. New York: CRC, 2004.
Greenwood J A, Williamson J B. Contact of nominally flat surfaces. Proc R Soc Lond A 295(1442): 300–319(1966)
Briscoe B J, Tabor D. Friction and adhesion. Surface forces in friction and adhesion. Faraday Spec Discuss Chem Soc 2: 7–17(1972)
Myshkin N K, Kovalev A V. Adhesion and friction of polymers. In Polymer Tribology. Sujeet K Sinha, Ed. London: Imperial College Press, 2009: 3-37
Johnson K L, Kendall K, Roberts A D. Surface energy and the contact of elastic solids. Proc R Soc Lond A 324(1558): 301–313(1971)
Derjaguin B V, Muller V M, Toporov Y P. Effect of contact deformations on the adhesion of particles. J Colloid Interface Sci 53(2): 314–326(1975)
Johnson K L, Greenwood J A. An adhesion map for the contact of elastic spheres. J Colloid Interface Sci 192(2): 326–333(1997)
Muller V M, Yushchenko V S, Derjaguin B V. On the influence of molecular forces on the deformation of an elastic sphere and its sticking to a rigid plane. J Colloid Interface Sci 45(1): 91–101(1994)
Le Bot A, Bou Chakra E. Measurement of friction noise versus contact area of rough surfaces weakly loaded. Tribol Lett 37(2): 273–281(2010)
Rapetto M P, Almqvist A, Larsson R, Lugt P M. On the influence of surface roughness on real area of contact in normal, dry, friction free, rough contact by using a neural network. Wear 266(5–6): 592–595(2009)
Spijker P, Molinari J F. The effect of loading on surface roughness at the atomistic level. Comput Mech 50: 273–283(2012)
Ghaednia H, Jackson R L. The effect of nanoparticles on the real area of contact, friction, and wear. J Tribol 135(4): 041603 (2013)
Chey S K, Tian P, Tian Y. Estimation of real contact area during sliding friction from interface temperature. AIP Advances 6(6): 065227 (2016)
Song B, Yan S. Relationship between the real contact area and contact force in pre-sliding regime. Chinese Physics B 26(7): 074601 (2017)
Rabinowicz E. Friction and Wear of Materials. 2nd edn. Hoboken (USA): John Wiley & Sons, 2013.
Kato K, Adashi K. Wear mechanisms. In Modern Tribology Handbook. Bharat Bhushan, Ed. Boca Raton: CRC Press, 2001: 273-300.
Aghababaei R, Warner D H, Molinari J F. On the debris-level origins of adhesive wear. PNAS 114(30): 7935–7940(2017)
Nguyen Q S. Instability and friction. Comptes Rendus Mécanique 331(1): 99–112(2003)
Spurr R T. The ringing of wine glasses. Wear 4(2): 150–153(1961)
Yi Y B, Du S Q, Barber J R, Fash J W. Effect of geometry on thermoelastic instability in disk brakes and clutches. J Tribol 121(4): 661–666(1999)
Le Bot A, Bou-Chakra E, Michon G. Dissipation of vibration in rough contact. Tribol Lett 41(1): 47–53(2011)
Kinkaid N M, O’Reilly O M, Papadopoulos P. Automotive disc brake squeal. J Sound Vib 267(1): 105–166(2003)
Müller M, Ostermeyer G P. A cellular automaton model to describe the three-dimensional friction and wear mechanism of brake systems. Wear 263(7–12): 1175–1188(2007)
Ostermeyer G P. On tangential friction induced vibrations in brake systems. In Non-Smooth Probl Veh Syst Dyn, Berlin: Springer, 2009: 101-111.
Nishiwaki M, Abe K, Yanagihara H, Stankovic I, Nagasawa Y, Wakamatsu S. A study on friction materials for brake squeal reduction by nanotechnology SAE technical paper series. Warrendale, PA, USA: SAE International, 2008.
Chen J S, Bogy D B. Mathematical structure of modal interactions in a spinning disk-stationary load system. J Appl Mech 59(2): 390–397(1992)
Earles S E, Lee C K. Instabilities arising from the frictional interaction of a pin-disk system resulting in noise generation. J Eng Ind 98(1): 81–86(1976)
Earles S E, Chambers P W. Disc brake squeal noise generation: predicting its dependency on system parameters including damping. Int J Vehicle Des 8(4): 538–552(1987)
Crolla D A, Lang A M. Paper VII (i) brake noise and vibration - The state of the art. In Tribology Series. Dowson D, Ed. Amsterdam: Elsevier, 1991:165-174.
Hervé B, Sinou J J, Mahé H, Jézéquel L. Analysis of squeal noise and mode coupling instabilities including damping and gyroscopic effects. Eur J Mech - A/solids 27(2): 141–160(2008)
Ibrahim R A. Friction-induced vibration, chatter, squeal, and chaos—part I: Mechanics of contact and friction. Appl Mech Rev 47(7): 209–226(1994)
Spurr R T. A Theory of brake squeal. Proceedings of the Institution of Mechanical Engineers: Automobile Division 15(1): 33–52(1961)
Ouyang H, Mottershead J E. A bounded region of disc-brake vibration instability. J Vib Acoust 123(4): 543–545(2001)
Ibrahim R A. Friction-induced vibration, chatter, squeal, and chaos—part II: Dynamics and modeling. Appl Mech Rev 47(7): 227–253(1994)
Oberst S, Lai J C S. Chaos in brake squeal noise. J Sound Vib 330(5): 955–975(2011)
Godfrey D. Friction oscillations with a pin-on-disc tribometer. Tribol Int 28(2): 119–126(1995)
Tabor, D. Friction, lubrication, and wear. In Mechanical Design Handbook. Rothbart H, Ed. New York: McGraw-Hill, 2006.
Yoon E S, Kong H, Kwon O K, Oh J E. Evaluation of frictional characteristics for a pin-on-disk apparatus with different dynamic parameters. Wear 203: 341–349(1997)
Emira N A, Mohamad H T, Tahat M S. Stick–slip detection through measurement of near field noise. Mech Eng Res, 3(3): 96–102(2003)
Popp K, Stelter P. Stick–slip vibrations and chaos. Phil Trans R Soc Lond A 332(1624): 89–105(1990)
Abdo J, Tahat M, Abouelsoud A, Danish M. The effect of frequency of vibration and humidity on the stick–slip amplitude. Int J Mech Mater Des 6(1): 45–51(2010)
Chowdhury M A, Helali M. The effect of relative humidity and roughness on the friction coefficient under horizontal vibration. Open Mech Eng J 2(1): 128–135(2008)
Nam J H, Do H C, Kang J Y. Effect of groove surface on friction noise and its mechanism. Int J Precis Eng Manuf 18: 1165–1172(2017)
Bonnay K, Magnier V, Brunel J F, Dufrénoy P, De Saxcé G. Influence of geometry imperfections on squeal noise linked to mode lock-in. Int J Solids Struct 75–76: 99–108(2015)
Jolivet S, Mezghani S, El Mansori M, Vargiolu R, Zahouani H. Experimental study of the contribution of gear tooth finishing processes to friction noise. Tribol Int 115: 70–77(2017)
Yokoi M, Nakai M. A fundamental study on frictional noise: 1st report, the generating mechanism of rubbing noise and squeal noise. Bull JSME 22(173): 1665–1671(1979)
Othman M O, Elkholy A H. Surface-roughness measurement using dry friction noise. Exp Mech 30(3): 309–312(1990)
Othman M O, Elkholy A H, Seireg A A. Experimental investigation of frictional noise and surface-roughness characteristics. Exp Mech 30(4): 328–331(1990)
Yokoi M, Nakai M. A fundamental study on frictional noise: (5th report, the influence of random surface roughness on frictional noise). Bull JSME 25(203): 827–833(1982)
Stoimenov B L, Maruyama S, Adachi K, Kato K. The roughness effect on the frequency of frictional sound. Tribol Int 40(4): 659–664(2007)
Ben Abdelounis H, Zahouani H, Le Bot A, Perret-Liaudet J, Tkaya M B. Numerical simulation of friction noise. Wear 271(3–4): 621–624(2011)
Jarvis R P, Mills B. Vibrations induced by dry friction. Proc Inst Mech Eng 178(1): 847–857(1963)
North M R. Disc brake squeal – A theoretical model. In MIRA Research Report, Nuneaton, UK,1972.
Simo J C, Laursen T A. An augmented Lagrangian treatment of contact problems involving friction. Comput Struct 42(1): 97–116(1992)
Hirmand M, Vahab M, Khoei A R. An augmented Lagrangian contact formulation for frictional discontinuities with the extended finite element method. Finite Elem Anal Des 107: 28–43(2015)
Laursen T A, Simo J C. Algorithmic symmetrization of coulomb frictional problems using augmented lagrangians. Comput Methods Appl Mech Eng 108(1–2): 133–146(1993)
Oden J T, Martins J A C. Models and computational methods for dynamic friction phenomena. Comput Methods Appl Mech Eng 52(1–3): 527–634(1985)
Morgan F, Muskat M, Reed D W. Studies in lubrication: X. friction phenomena and the stick–slip process. J Appl Phys 12(10): 743–752(1941)
Slavič J, Bryant M D, Boltežar M. A new approach to roughness-induced vibrations on a slider. J Sound Vib 306(3–5): 732–750(2007)
Kang J. Finite element modeling for stick–slip pattern of squeal modes in disc brake. J Mech Sci Technol 28(10): 4021–4026(2014)
Stoimenov B L, Kato K. The relationship between frictional sound and lumps build-up at the contact interface in single-pass dry sliding between Aluminium pin and flat. In Tribology Series. Amsterdam: Elsevier, 2003: 159-164.
Wang A Y, Mo J L, Wang X C, Zhu M H, Zhou Z R. Effect of surface roughness on friction-induced noise: Exploring the generation of squeal at sliding friction interface. Wear 402–403: 80–90(2018)
Chen Y, Shi X, Lu G, Zhou H, Yang Z. Reducing friction noise of M50 matrix composites by adding Ti3SiC2. Mater Res Express 6: 076510 (2019)
Liu Y, Dowling A P, Shin H C. Effects of surface roughness on airframe noise. In the 12th AIAA/CEAS Aeroacoustics Conference, Cambridge, USA, 2006.
Chen G. Friction-induced noise and vibrations: Diagnosis and prognosis. Adv Automob Eng 2(2): 1000e118 (2013)
Nam J, Baek J, Do H, Kang J. Experimental investigation of friction noise on lubricated contact. J Mech Sci Technol 31(12): 5751–5760(2017)
Mo J L, Wang Z G, Chen G X, Shao T M, Zhu M H, Zhou Z R. The effect of groove-textured surface on friction and wear and friction-induced vibration and noise. Wear 301(1–2): 671–681(2013)
Jibiki T, Shima M, Akita H, Hatano K. Friction noise caused by fretting under grease lubrication. In 2nd World Tribology Congress, Vienna, Austria, 2001: 171-178.
Chen G X, Zhou Z R, Kapsa P, Vincent L. Effect of surface topography on formation of squeal under reciprocating sliding. Wear 253(3–4): 411–423(2002)
Hu B. Friction and wear of automotive and aircraft brakes. In ASM Handbook. Totten G E, Ed. Materials Park: ASM International, 2017: 969-983.
Jacko M G, Tsang P H S, Rhee S K. Automotive friction materials evolution during the past decade. Wear 100(1–3): 503–515(1984)
Newcomb T P, Spurr R T. Friction materials for brakes. Tribology 4(2): 75–81(1971)
Rhee S K. Wear mechanisms for asbestos-reinforced automotive friction materials. Wear 29(3): 391–393(1974)
Duarte M, Vragovic I, Molina J M, Prieto R, Narciso J, Louis E. 1/f noise in sliding friction under wear conditions: The role of debris. Phys Rev Lett 102(4): 045501 (2009)
Jibiki T, Shima M, Akita H, Tamura M. A basic study of friction noise caused by fretting. Wear 251(1–12): 1492–1503(2001)
Eriksson M, Lord J, Jacobson S. Wear and contact conditions of brake pads: Dynamical in situ studies of pad on glass. Wear 249(3–4): 272–278(2001)
Österle W, Griepentrog M, Gross T, Urban I. Chemical and microstructural changes induced by friction and wear of brakes. Wear 251(1–12): 1469–1476(2001)
Boness R J, McBride S L. Adhesive and abrasive wear studies using acoustic emission techniques. Wear 149(1–2): 41–53(1991)
Boness R J, McBride S L, Sobczyk M. Wear studies using acoustic emission techniques. Tribol Int 23(5): 291–295(1990)
Benabdallah H S, Aguilar D A. Acoustic emission and its relationship with friction and wear for sliding contact. Tribol T 51(6): 738–747(2008)
Meng H C, Ludema K C. Wear models and predictive equations: Their form and content. Wear 181–183: 443–457(1995)
Yadav G, Tiwari S, Rajput A, Jatola R, Jain M L. A review: Erosion wear models. In International Conference on Emerging Trends in Mechanical Engineering, Bhopal, India, 2016: 150-154.
Barwell F T. Wear of metals. Wear 1(4): 317–332(1958)
Zmitrowicz A. Wear debris: A review of properties and constitutive models. J Theor App Mech-Pol 43(1): 3–35(2005)
Shen X, Cao L, Ruyan L. Numerical simulation of sliding wear based on archard model. In 2010 International Conference on Mechanic Automation and Control Engineering, Wuhan, China, 2010: 325-329.
Hassan A K F, Mohammed S. Artificial neural network model for estimation of wear and temperature in pin-disc contact. Universal Journal of Mechanical Engineering 4(2): 39–49(2016)
Rhee S K. Wear equation for polymers sliding against metal surfaces. Wear 16(6): 431–445(1970)
Archard J F, Hirst W. The wear of metals under unlubricated conditions. Proc R Soc Lond A 236(1206): 397–410(1956)
Archard J F. The temperature of rubbing surfaces. Wear 2(6): 438–455(1959)
da Silva C R Á Jr, Pintaude G Jr. Uncertainty analysis on the wear coefficient of Archard model. Tribol Int 41(6): 473–481(2008)
Quinn T F J. Oxidational wear. Wear 18(5): 413–419(1971)
Öqvist M. Numerical simulations of mild wear using updated geometry with different step size approaches. Wear 249(1–2): 6–11(2001)
Mukras S, Kim N H, Sawyer W G, Jackson D B, Bergquist L W. Numerical integration schemes and parallel computation for wear prediction using finite element method. Wear 266(7): 822–831(2009)
Savio G, Meneghello R, Concheri G. A surface roughness predictive model in deterministic polishing of ground glass moulds. Int J Mach Tools Manuf 49(1): 1–7(2009)
Fillot N, Iordanoff I, Berthier Y. Wear modeling and the third body concept. Wear 262(7–8): 949–957(2007)
Stachowiak G, Batchelor A W. Engineering Tribology. Oxford (UK): Butterworth-heinemann, 2013.
Mate C M. Tribology on The Small Scale: A Bottom-up Approach to Friction, Lubrication and Wear. Oxford (UK): Oxford University Press, 2008.
Olsson H, Åström K J, Canudas de Wit C, Gäfvert M, Lischinsky P. Friction models and friction compensation. Eur J Control 4(3): 176–195(1998)
Dupont P E. Friction modeling in dynamic robot simulation. In IEEE International conference on Robotics and Automation. Cincinnati, USA, 1990: 1370-1376.
Karnopp D. Computer simulation of stick–slip friction in mechanical dynamic systems. J Dyn Syst Meas Control 107(1): 100–103(1985)
Canudas de Wit C, Olsson H, Astrom K J, Lischinsky P. A new model for control of systems with friction. IEEE Trans Autom Control 40(3): 419–425(1995)
Dahl P R. A solid friction model. In Technical Report TOR-0158(3107-18), El Segundo, USA, 1968.
Adams H D, Williams A P, Xu C G, Rauscher S A, Jiang X Y, McDowell N G. Empirical and process-based approaches to climate-induced forest mortality models. Front Plant Sci 4: 438 (2013)
Al-Bender F. Fundamentals of friction modelling. In Proceedings, ASPE Spring Topical Meeting on Control of Precision Systems, Cambridge, USA, 2010: 117-122.
Nachtergaele J, Poesen J, Steegen A, Takken I, Beuselinck L, Vandekerckhove L, Govers G. The value of a physically based model versus an empirical approach in the prediction of ephemeral gully erosion for loess-derived soils. Geomorphology 40(3–4): 237–252(2001)
Emami A, Khaleghian S, Su C, Taheri S. Physics-Based friction model with potential application in numerical models for tire-road traction. In Proceedings of the ASME 2017 Dynamic Systems and Control Conference. Tysons, USA, 2017.
Eriten M, Polycarpou A A, Bergman L A. A physics-based friction model and integration to a simple dynamical system. J Vib Acoust 134(5): 051012 (2012)
Dankowicz H. On the modeling of dynamic friction phenomena. ZAMM 79(6): 399–409(1999)
de Moerlooze K, Al-Bender F, Van Brussel H. A generalised asperity-based friction model. Tribol Lett 40(1): 113–130(2010)