# Official Papers

**Official Papers Joost Kalker**

This list contains only publications, the numbers are used as search-keys to find them in the complete list.

Copies can be ordered by sending a message to **kalker@ zonnet.nl**

| 6. | J. J. Kalker, The transmission of force and couple between two elastically similar rolling spheres, Proceedings Koninklijke Nederlandse Akademie van Wetenschappen, Amsterdam B 67(1964), pp.135-177 |

1967 | 11. | J. J. Kalker, On the Rolling Contact of Two Elastic Bodies in the presence of dry friction. Doctoral Thesis, Delft. |

1967 | 13. | J. J. Kalker, A strip theory for rolling with slip and spin. Koninklijke Nederlandse Akademie van Wetenschappen, Proceedings, Series B,70, No 1 , Mechanics pag. 10-62. |

1967 | 14. | J. J. Kalker and C. M. Kalker-Kalkman,Time dependent coolant temperature after a step increase in power, Nuclear Engineering and Design 6 p. 5-19, North-Holland Publishing Company, Amsterdam, Holland |

1968 | 21 | J.J.Kalker, The tangential force transmitted by two elastic bodies rolling over each other with pure creepage, Wear,11, 421-430 |

1968 | 24 | J.J.Kalker, The analysis of the motion of the balls in an unlubricated angular thrust ball bearing. Wear 12, p.3-16, Elsevier Sequoia S.A.,Lausanne |

1969 | 31. | J. J. Kalker, The influence of the circulation of the balls in an unlubricated angular contact thrust ball bearing, Wear, Volume 13,No 4/5 p.293-300, April-May 1969 |

1970 | 37. | J. J. Kalker, Transient phenomena in two elastic cylinders rolling over each other with dry friction, Journal of Applied Mechanics, 37, 677-688 |

1970 | 38. | J. J. Kalker, Over de mechanica van het rollen, (English: On the Mechanics of rolling) Lecture on the occasion of Kalker's appointment to reader at the Delft University of Technology, Publishers Waltman, Delft, ISBN 90 212 5004 7 |

1971 | 39. | J. J. Kalker, Transient rolling contact phenomena, Proceedings 25th ASLE meeting, Chicago, Ill. Park Ridge,ASLE, New York, pp.177-184 |

1971 | 46. | J. J. Kalker, A minimum principle for the law of dry friction with application to elastic cylinders in rolling contact, Transactions ASME, Journal of Applied Mechanics, 38, part 1: 875-880, fundamentals,application to steady-state rolling. part 2: 881-887.Application to non-steady rolling elastic cylinders. |

1971 | 47. | J. J. Kalker, On the uniqueness of contact problems in the theory of elasticity, Publication in Russian in: Kontaktnoe Vzaimodeistyvie yverdikh tel, Isd "Nauka" Moscow. |

1971 | 48. | J. J. Kalker, A. D. de Pater, Survey of the theory of local slip in the elastic contact region with dry friction, International Applied Mechanics 7(5) 472-483 1971-Springer. Also in Russian Journal 1971 |

1971 | 49. | J. J. Kalker and Y.van Randen, Non-Hertzian frictionless contact problems, ZAMM 51, T116-T117. |

1972 | 55. | J. J. Kalker, On elastic line contact, Transactions ASME, Series E, Journal of Applied Mechanics 39, No 4, p.1125-1132 |

1972 | 58. | J. J. Kalker, Y.van Randen, A minimum principle for frictionless elastic contact with application to non-Hertzian half-space contact problems, Journal for Engineering Mathematics,88,1972, pp. 193-206. |

1973 | 62. | Simplified theory of rolling contact, Delft University of Technology, Delft, The Netherlands, Delft Progress Report Series C1. p. 1-10 |

1975 | 63. | A. D.de Pater and J. J. Kalker (Eds.). The mechanics of contact between deformable bodies, Proceedings of the Symposium of International Union of Theoretical and Applied Mechanics (IUTAM) Enschede,The Netherlands,20-23/8.1974 Delft University Press 1975, Distributed by Academic Book Services Holland P.O.Box 66 Groningen, The Netherlands, 414 pages. |

1974 | 65. | M. A. Viergever , J. J. Kalker:On the adequacy of the Peterson-Bogert model and on the effects of viscosity in cochlear dynamics, Journal of Engineering Mathematics, Springer Netherlands, April 1974, Volume 8, Number2, p.149-156 |

1975 | 67. | M. A. Viergever, J. J. Kalker: Localization of non-linearities in the cochlea, Journal of Engineering Mathematics, Volume 9, Number 1, january 1975, p.11-20 Publisher: Springer, Netherlands. |

1975 | 70. | J. J. Kalker, Aspects of contact mechanics, Proceedings of the symposium of the International Union of Theoretical and Applied Mechanics, pp.1-25. |

1977 | 73. | J. J. Kalker, A survey of the mechanics of contact between solid bodies, GAMM Jahres-Tagung Graz,april 5-9,1976. ZAMM 57,1977 T3-T17 |

1977 | 80. | J.J.Kalker, Variational principles of contact elastostatics. Journal of the institute of mathematics and its applications 20, p.199-219 |

1977 | 81. | J. J. Kalker, The surface displacement of an elastic half-space loaded in a slender, bounded,curved surface region with application to the calculation of the contact pressure under a roller, Journal of the Institute of Mathematics and its Applications 19 (1977) p.127-144. |

1977 | 82. | Carl Panek, J. J. Kalker: A solution for the narrow rectangular punch. Journal of Elasticity, Volume 7, Number 2, p.213-218. Publisher: Springer Netherlands. |

1978 | 87. | J. J. Kalker, The best Hertzian approximation of a normal contact problem. Delft University of Technology Progress Report 1978 |

1978 | 89. | J. J. Kalker, uÜber die Mechanik des Kontaktes zwischen Rad und Schiene (English: On the mechanics of contact between wheel and rail) ZEV-Glasers Annalen 102(1978)Nr.7/8 Juli/August,p.214-217 |

1979 | 95. | J. J. Kalker, The computation of three-dimensional rolling contact with dry friction, International Journal for numerical methods in engineering, Vol.14, 1293-1307 John Wiley and Sons, Ltd. |

1979 | 96. | J. J. Kalker, Survey of wheel-rail rolling contact theory, State-of-the-art paper, IUTAM-IAVSD Symposium, Berlin Vehicle System Dynamics 5(1979) p. 317-358, |

1980 | 99. | C. Panek, J. J. Kalker, Three-dimensional contact of a rigid roller traversing a viscoelastic half-space. Journal of the Institute of Mathematics and its Applications 26, p. 299-313 |

1980 | 102. | J. J. Kalker, Numerical Contact Elastostatics, Proceedings Symposium IUTAM, S. Nemat-Nasser,ed., Pergamon Press, Oxford pp.242-248 Variational methods in the mechanics of solids, Oxford and New York 1980. |

1980 | 103. | J. J. Kalker, Review of wheel-rail rolling contact theories, The winter meeting of the American Society of Mechanical Engineers, Applied Mechanical Division, november 16-21,1980 AMD-Vol.40: 77-91 |

1981 | 112. | J. J. Kalker, H. J. C. Allaert, J. de Mul, The numerical calculation of the contact problem in the theory of elasticity. Nonlinear Finite Element Analysis in Structural Mechanics, Proceedings of the Europe-U.S. Workshop, Ruhr-Universitaet Bochum, Germany, July 28-31,1980 Springer-Verlag , Berlin Heidelberg 1981 p.637-654 |

1983 | 123. | J. J. Kalker, Two algorithms for the contact problem in elastostatics, Proceedings International Symposium on Contact Mechanics and Wear of Rail-Wheel systems, Eds. J. Kalousek, R. V. Dukkipatti, G. M. L. Gladwell, University of Waterloo Press, pp.101-120 |

1982 | 124. | J. J. Kalker, A fast algorithm for the simplified theory of rolling contact, Vehicle System Dynamics 11, p.1-13 |

1983 | 126. | J. J. Kalker, Surface irregularities and variable mechanical properties as a cause of rail corrugations, Rail Corrugations, Eds. K. Knothe and R. Gasch, ILR-Bericht 56, TU Berlin, p. 71-106 |

1983 | 128. | J. J. Kalker, The contact between wheel and rail, 1st course on advanced vehicle system dynamics, Eds. Eds. de Pater and Pacejka, ICTS, Rome p.275-312. See no. 150 for revised version. |

1983 | 130. | J. J. Kalker, A simplified theory for non-Hertzian Contact, (SIMPLE Program) Vehicle System Dynamics 12, p.43-45 In:J.K.Hedrick (Ed.) Dynamics of vehicles on Roads and Tracks, Proceeedings of the 8th IAVSD Symposium held in Cambridge, Mass. August 1983. Supplement to Vehicle System Dynamics 13. Swets and Zeitlinger, Lisse, 295-302 |

1985 | 136. | J. J. Kalker, On the contact problem in elastostatics, proceedings of the 2nd meeting on Unilateral Problems in Structural Analysis, Eds. Del Piero/Maceri, CISM Courses and Lectures No 288, Springer Wien-New York, pp.81-118 |

1986 | 139. | J. J. Kalker, Railway wheel and automotive tyre, Vehicle System Dynamics 5, Vol.15, pp.255-269 |

1986 | 142. | J. J. Kalker, J. de Mul, R. Frederiksson, The contact between arbitrarily curved bodies in finite dimension, Journal of Tribology, 108, p.140-148. |

1986 | 143. | J. J. Kalker, Mathematical models of friction for contact problems in elasticity, Wear 113, p 61-77. |

1986 | 144. | J. J. Kalker, The principle of virtual work and its dual for contact problems, Ingenieur-Archiv 56, p. 453-467. Springer |

1986 | 145. | J. J. Kalker, Numerical calculation of the elastic field in a half-space. Communications of Applied Numerical Methods 2, p.401-410. |

1987 | 149. | J. J. Kalker, Wheel-rail wear calculations with the program CONTACT, in : Contact mechanics and wear of rail/wheel systems II, Eds. Gladwell, Ghonem and Kalousek, p.3-26 Kingston, RI, University of Waterloo Press Waterloo, Ontario |

1987 | 150. | J. J. Kalker, The contact between wheel and rail (revised version) lecture ICTS Advanced vehicle system dynamics,Eds.de Pater and Pacejka, ICTS Rome. Revised version of 128. Report no. 87-27 Delft University of Technology Department of Applied Mathematics. |

1987 | 151. | J. J. Kalker, Variational and non-variational theory of frictionless adhesive contact between bodies, Wear Vol.119, pp.63-76 |

1988 | 152. | J. J. Kalker, The quasistatic contact problem with friction for threedimensional elastic bodies. Journal de Mecanique theoretique et appliquee Journal of theoretical and applied mechanics, Special issue,supplement no 1 to vol.7-1988 0750-7240/1988/55 12. Gauthier-Villars p.55-66 |

1987 | 154. | J. J. Kalker, G. J. Olsder, On robots with flexible links, dynamics,control and stability, Archive of Applied Mechanics (Ingenieur Archiv), Volume 57, Number 1, January 1987, p.16-24 Publisher:Springer Berlin/Heidelberg |

1987 | 155. | J. J. Kalker, Contact mechanical algorithms. Communications of Applied Numerical Methods 4, p.25-32. |

1988 | 157. | J. Piotrowski, J. J. Kalker: The elastic cross-influence between two quasi-Hertzian contact zones, Vehicle System Dynamics 17, p.337-355. |

1989 | 162. | J. J. Kalker, J. Piotrowski, Some new results in rolling contact, Vehicle System Dynamics 18, p.223-2421990 165. G. F. M. Braat, J. J. Kalker, Deformations of viscoelastic layered rubber coated on two stationary rolling cylinders, Integration of Theory and Applications in Applied mechanics, 1990, Proceedings of First National Mechanics Congress (Eds. J. F. Dijksman, F. T. M. Nieuwstadt, Kluwer, Dordrecht) |

1990 | 165. | G. F. M. Braat, J. J. Kalker, Deformations of viscoelastic layered rubber coated on two stationary rolling cylinders , Integration of Theory and Applications in Applied mechanics, 1990, Proceedings of First National Mechanics Congress (Eds. J. F. Dijksman, F. T. M. Nieuwstadt, Kluwer, Dordrecht) |

1990 | 166. | G. F. M. Braat, J. J. Kalker, Theoretical and experimental analysis of the rolling contact between two cylinders coated with multilayered,viscoelastic rubber. Delft University of Technology, Department of Technical Mathematics and Informatics, Oce Nederland B.V. Research and Development, Department of Analytical Measurements, Venlo, The Netherlands In: A. H. Aliabadi and C. A. Brebbia (Eds.) Contact Mechanics, Computational Techniques; Contact Mechanics Publications, (1993), pp. 119-126 First National Mechanics Congress, Integration of Theory, April 2-4 1990. Kerkrade, Netherlands |

1990 | 167. | J. J. Kalker, Three-Dimensional Elastic Bodies in Rolling Contact, Kluwer Academic Publishers, Dordrecht/Boston/London (1990) ISBN 0-7923-0712-7 |

1991 | 168. | J. J. Kalker, Wheel-Rail Rolling Contact Theory In : S.LK.Grassie (Ed.) Mechanics and Fatigue in wheel-rail contact.Third international conference on contact mechanics and wear of rail-wheel systems,Cambridge (U.K.) 1990 Wear 144, 1991, p.243-261 |

1991 | 172. | J. J. Kalker, Viscoelastic multilayered Cylinders rolling with dry friction, Journal of Applied Mechanics, Vol.58, p.666-679. |

1992 | 175. | J. J. Kalker, Modification of the two-body contact conditions to account for the Third Body, Wear Particles 187,p.183-189 1992 Elsevier Science Publishers B.V. |

1991 | 177. | J. J. Kalker, Simulation of the development of a railway profile through wear, Wear 150, p.355-365, 10/1991 |

1991 | 178. | J. J. Kalker and A. Chudzikiewicz, Calculation of the evolution of the form of a railway wheel profile through wear, International Series of Numerical Mathematics, Vol.101, Birkhauser Verlag Basel p.71-84 |

1991 | 265. | J.J.Kalker,An algorithm for frictional contact elastostatics. First U.S.National Confress on computational mechanics,july 21-24,Chicago,Illinois, Abstracts, p.325. |

1991 | 264. | J.J.Kalker, Contact mechanics for rolling stock and rails, report for Heavy Haul book, Chicago, Ill. |

1992 | 181. | J. J. Kalker, D. F. Cannon, O. Orringer,eds. Rail quality and maintenance for modern railway operation, International Conference on Rail Quality and maintenance for modern railway operation, Kluwer Academic Publishers |

1992 | 191. | J. N. Leijnse, J. E. Bonte, J. M. Landsmeer, J. J. Kalker, J. C.van der Meulen, C. J. Snijders, Biomechanics of the finger with anatomical restrictions- the significance for the exercising hand of the musician. Department of Biomedical Physics, Erasmus University, Rotterdam, The Netherlands Journal of Biomechanics, November, 25(11):1253-64 |

1992 | 194. | G. Wang and J. J. Kalker, Three-dimensional rolling contact of two viscoelastic bodies, Proc. Contact Mechanics International Symposium, Edt. A. Curnier, Lausanne, PPur,477-490 |

1993 | 197. | J. Piotrowski, J. J. Kalker: A non-linear mathematical model of finite, periodic rail corrugations. Eds. M. H. Aliabali, C. A. Brebbia. Computational Mechanics Publications, Southampton-Boston 1993, p.413-425 |

1993 | 201. | M. C. Dubourg, J. J. Kalker: Crack behaviour under rolling contact fatigue, Rail Quality and Maintenance for Modern Railway Operation, Ed. J. J. Kalker,Cannon,Orringer, Kluwer, Dordrecht,Netherlands.p.373-384. |

1994 | 204. | J. J. Kalker, Considerations on rail corrugation Vehicle System Dynamics 23, pp.3-28. |

1995 | 205. | J. N. Leijnse, J. J. Kalker, A two-dimensional kinematic model of the lumbrical in the human finger. Report of Department of Plastic and Reconstructive Surgery, Erasmus University, Rotterdam. Journal of Biomechanics 1995 March 28 (3) 237-249 |

1993 | 209. | E. A. H. Vollebregt, J. J. Kalker and Lin H. X.: A fast solver for normal and tangential contact mechanics in the half-space. In: Contact mechanics, Computational Techniques, Proceedings First International Conference on Contact Mechanics, Editors M. H. Aliabadi and C. A. Brebbia, Computational Mechanics, p.235-242 Publications, Southampton. |

1996 | 217. | J. J. Kalker, Discretely supported rails subjected to transient loads, Vehicle System Dynamics 25,1,1996,71-88 |

1995 | 220. | J. J. Kalker, F. Periard, Wheel-rail noise: impact, random, corrugation and tonal noise, Wear 191(1996), p.184-187. |

1996 | 229. | J. J. Kalker, Book of Tables for the Hertzian Creep-Force Law. Technical report 96-61, Department of Applied Analysis (Mathematics) Delft University of Technology Description of the program USETAB/book of tables In: I.Zobory, 2nd Mini Conference on Contact mechanics and Wear of Wheel/Rail systems, Budapest, pp.11-20 |

1996 | 218. | J.J.Kalker, A method of mixed time and frequency domains for discretely supported rails subject to transient loads. Report 95-26 Delft University of Technology Department of mathematics. Zeitschrift fuer angewandte Mathematik und Mechanik 1996. |

1997 | 238. | J.J.Kalker,F. M. Dekking, E. Vollebregt, Simulation of rough, elastic contacts, Transactions ASME, Journal of Applied Mechanics 64(2),p.361-368,1997 239. V. M. Alexandrov, J. J. Kalker, D. A. Pozharskii The spatial contact problem for a two-layer foundation with unknown contact area. Journal of Applied Mechanics. (Russian) |

1997 | 239. | V. M. Alexandrov, J. J. Kalker, D. A. Pozharskii The spatial contact problem for a two-layer foundation with unknown contact area. Journal of Applied Mechanics. (Russian) |

1998 | 241. | Li Z. and J.J.Kalker, The computation of wheel-rail conformal contact. In: Idelsohn S.R.(Ed.) Computational mechanics : new trends and applications Proceedings of the 4th World Conference on computational mechanics , 29 june- 2 july, paper no 1-417, Buenos Aires, Argentina |

1998 | 242. | Li Z. L. and J. J. Kalker, Adaptive solution of the rolling contact using boundary element method, Proceedings of the 20th World Conference on the on the Boundary Element Method, 19-21 August, Orlando, Florida, USA p. 127-136 Springer. |

1998 | 243. | Li Z. L. and J. J. Kalker, Simulation of severe wheel-rail wear, Proceedings of the 6th International Conference on Computer Aided Design, Manufacture and Operation in the Railway and other Mass Transit systems, 2-4 September, Lisbon, Portugal Computational Mechanics Publications, Southampton, pp. 393-402 |

1998 | 244. | Li Z. L., J. J. Kalker, P. K. Wiersma and E. R. Snijders: Non-Hertz Wheel-Rail Wear Simulation in Vehicle Dynamical Systems, Proceedings of the 4th International Conference on Railway Bogies and Running Gears, Edited by Zobory, I. , 21-23 September, Budapest, Hungary p.187-196 |

1999 | 246. | C.M.Kalker-Kalkman and J.J.Kalker, Training of neural networks with the aid of genetic algorithms with application to contact problems. In Arkeryd,Leif (Ed.), Progress in industrial mathematics at ECMI 98, Conference at Chalmers University, Goteborg, Sweden, 1998. Stuttgart (e.a.) : Teubner, 1999, p.312-317 |

1998 | 247. | J. J. Kalker, Review paper, Wheel-rail contact, Theory,algorithms,applications. Strojnicky Casopis,49,1998, p.1-26 |

1999 | 248. | V. M. Aleksandrov, J. J. Kalker, D. A. Pozharskii, Three-dimensional contact problem for a two-layered elastic base with an unknown contact area, Izv. Ross. Akad. Nauk, MTT, Mechanics of solids C/C of Inzhenernyi Zhurnal Mekhanika 34, pp.41-45 199 Allerton Press, Inc. |

1999 | 249. | Joost. J. Kalker (Delft University of Technology) and Bo Jacobson (Lund University), Rolling Contact Phenomena, CISM courses and lectures no. 411, p.1-84, International Centre for Mechanical Sciences, Udine ,Italy. Springer Wien/New York |

2000 | 250. | J.J.Kalker, Rolling Contact Phenomena-Linear Elasticity, In: J.J.Kalker and Bo Jacobson (Eds.) Rolling Contact phenomena, CISM courses and lectures no 411, p.1-84 |

2000 | 251. | V. M. Aleksandrov, J. J. Kalker, D. A. Posharski, Calculation of stresses in the axisymmetric contact problem for a two-layered elastic base, Mechanics of solids C/C of Inzheneryi Zhurnal Mekhanika 35 5, pp. 97-106, Allerton Press. |

2000 | 252. | S. M. Aizikovich, V. M. Aleksandrov, J. J. Kalker, I. I. Krenev, Trubchik I. S. Analytical solution of the spherical indentation problem for a half-space with gradients with the…… , International Journal of Solids and Structures 39(2002), pp.2745-2772 (28) |

**Promovendi (Ph.D. students)**

1980 | Max Viergever,mechanics of the inner ear |

1998 | Frederic Periard,Wheel-Rail noise generation: Curve Squealing by Trams. |

1987 | F.C.van Geer,Application of Kalman filtering in the analysis and design of groundwater Monitoring networks. |

1992 | Juergen Laeger, Elastic Impact with Friction |

1993 | Gerard Braat, Theory and experiments on layered, visco-elastic cylinders in rolling contact. See also : Outlook 1993.3, Journal of Delft University of Technology,pp.7-10 |

2002 | Zili LI, Wheel-Rail Rolling Contact, Its application to Wear Simulation |

C.M.Kalker-Kalkman, February 2007

kalker@zonnet.nl