Advanced Contact Mechanics–Road and Rail

The development of contact theories and numerical formula for various applications is a field which expands rapidly. This publication focuses on the rolling contact problem both for tire-road and wheel-rail contact. For the tire-road application a central problem is the modeling of the composite structure of the tire under internal pressure and axle load. One actual contact problem is the rolling on soft soil, which is discussed as the main application. In the wheel-rail case the contact area is much smaller and much more emphasis has been laid on the treatment of material changes, wear and creep phenomena. These approaches are discussed in detail as well as a more recent finite element formulation following the arbitrary Lagrange-Eulerian concept. Ideas about damage mechanisms finish the article.

[1]  Shigeru Kagami,et al.  One‐Dimensional Contact Pressure Distribution of Radial Tires in Motion , 1995 .

[2]  Gennady M. Kulikov Computational Models for Multilayered Composite Shells with Application to Tires , 1996 .

[3]  Anil Chaudhary,et al.  A SOLUTION METHOD FOR PLANAR AND AXISYMMETRIC CONTACT PROBLEMS , 1985 .

[4]  K. Johnson,et al.  Three-Dimensional Elastic Bodies in Rolling Contact , 1990 .

[5]  Gennady M. Kulikov,et al.  Comparative analysis of two algorithms for numerical solution of nonlinear static problems for multilayer anisotropic shells of revolution. 1. Account of transverse shear , 1999 .

[6]  N‐T. Tseng Finite Element Analysis of Freely Rotating Tires , 1987 .

[7]  J. K. Hedrick,et al.  A Comparison of Alternative Creep Force Models for Rail Vehicle Dynamic Analysis , 1983 .

[8]  R. A. Ridha,et al.  COMPUTATION OF STRESSES, STRAINS, AND DEFORMATIONS OF TIRES , 1980 .

[9]  U. Fingberg A model of wheel-rail squealing noise , 1990 .

[10]  H. Rothert,et al.  A Material Model for Simulating the Hysteretic Behavior of Filled Rubber for Rolling Tires , 1998 .

[11]  J. Lions,et al.  Inequalities in mechanics and physics , 1976 .

[12]  K. Knothe Non-Steady State Rolling Contact and Corrugations , 2000 .

[13]  Ahmed K. Noor,et al.  Mixed finite element formulation for frictionless contact problems , 1989 .

[14]  Ostermeyer Georg-Peter Friction models with discrete layers , 2000 .

[15]  Peter Wriggers,et al.  Calculation of impact-contact problems of thin elastic shells taking into account geometrical nonlinearities within the contact region , 1982 .

[16]  F Boehm,et al.  TIRE MODELS FOR COMPUTATIONAL CAR DYNAMICS IN THE FREQUENTY RANGE UP TO 1000 HZ , 1992 .

[17]  Tamás Szabó,et al.  Application of a Technical Documentation System for Developing New Belt Constructions for Truck Tires , 1995 .

[18]  Rudolf Haas,et al.  Stoffdehnung und Formänderung der Hülle von Prall-Luftschiffen : Untersuchungen im Luftschiffbau der Siemens-Schuckert-Werke , 1913 .

[19]  Masaki Shiratori,et al.  Tire Cornering Simulation Using an Explicit Finite Element Analysis Code , 1998 .

[20]  Klaus-Georg Krapf Der elastisch gebettete Kreisring als Modell für den Gürtelreifen , 1979 .

[21]  R. A. Ridha,et al.  Finite Element Analysis of Giant Earthmover Tires , 1982 .

[22]  Martin Ertz,et al.  Improved Creep Force Model for Wheel/Rail Contact Considering Roughness and Temperature , 2002 .

[23]  Z. Zhong Finite Element Procedures for Contact-Impact Problems , 1993 .

[24]  H. Fromm,et al.  Berechnung des Schlupfes beim Rollen deformierbarer Scheiben , 1927 .

[25]  K. Bathe,et al.  Finite Element Methods for Nonlinear Problems , 1986 .

[26]  R. Rivlin The deformation of a membrane formed by inextensible cords , 1958 .

[27]  J. Barbera,et al.  Contact mechanics , 1999 .

[28]  Joseph Padovan,et al.  Finite Element Analysis of a Steady‐State Rotating Tire Subjected to Point Load or Ground Contact , 1987 .

[29]  F. J. Périard Wheel-rail noise generation: Curve squealing by trams , 1998 .

[30]  K. Johnson,et al.  Contact of Nonspherical Elastic Bodies Transmitting Tangential Forces , 1964 .

[31]  John H. Beynon,et al.  The effect of strain hardening on shakedown limits of a pearlitic rail steel , 1997 .

[32]  F Boehm Models for the radial tire for high frequent rolling contact , 1989 .

[33]  R. H. Kennedy,et al.  RADIAL TRUCK TIRE INFLATION ANALYSIS: THEORY AND EXPERIMENT , 1981 .

[34]  R Hadekel THE MECHANICAL CHARACTERISTICS OF PNEUMATIC TIRES , 1952 .

[35]  Ahmed K. Noor,et al.  On making large nonlinear problems small , 1982 .

[36]  V. Radhakrishnan,et al.  Plastic deformation in rolling contact , 1975 .

[37]  B. G. Kao,et al.  Transient Dynamics of a Tire Rolling over Small Obstacles — A Finite Element Approach with PAM‐SHOCK , 1998 .

[38]  J. Kalker,et al.  On the rolling contact of two elastic bodies in the presence of dry friction , 1967 .

[39]  E. Ollerton,et al.  Contact Stress Distributions on Elliptical Contact Surfaces Subjected to Radial and Tangential Forces , 1963 .

[40]  J. T. Tielking,et al.  A method for shell contact analysis , 1981 .

[41]  L. Nasdala,et al.  An efficient viscoelastic formulation for steady-state rolling structures , 1998 .

[42]  Joe Padovan,et al.  Finite element analysis of steady and transiently moving/rolling nonlinear viscoelastic structure—III. Impact/contact simulations , 1987 .

[43]  L. Deters,et al.  Friction and Wear at Tractive Rolling of Cylinders , 2000 .

[44]  J. T. Tielking A Finite Element Tire Model , 1983 .

[45]  Y. Tozawa,et al.  Stress Analysis of a Tire Under Vertical Load by a Finite Element Method , 1977 .

[46]  J. Oden,et al.  Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods , 1987 .

[47]  Ken Ishihara Development of A Three‐Dimensional Membrane Element for the Finite Element Analysis of Tires , 1991 .

[48]  Herbert A. Mang,et al.  Large strain finite element analysis of sand: model, algorithm and application to numerical simulation of tire–sand interaction , 2000 .

[49]  H. K. Brewer Tire Stress and Deformation from Composite Theory , 1973 .

[50]  F. Böhm Dynamic rolling process of tires as layered structures , 1996 .

[51]  F. W. Carter,et al.  On the action of a locomotive driving wheel , 1926 .

[52]  John A. Elkins,et al.  PREDICTION OF WHEEL/RAIL INTERACTION: THE STATE-OF-THE-ART , 1992 .

[53]  J. T. Oden,et al.  A Three‐Dimensional Rolling Contact Model for a Reinforced Rubber Tire , 1989 .

[54]  Valentin L. Popov,et al.  Phonon contribution to friction stress in an atomically flat contact of crystalline solids at low temperature , 2000 .

[55]  Friedrich Gruttmann Theorie und Numerik schubelastischer Schalen mit endlichen Drehungenunter Verwendung der Biot-Spannungen , 1988 .

[56]  Edoardo Robecchi MECHANICS OF THE PNEUMATIC TIRE: PART II: THE LAMINAR MODEL UNDER INFLATION AND IN ROTATION , 1973 .

[57]  T Akasaka STRUCTURAL MECHANICS OF RADIAL TIRES , 1981 .

[58]  Armando Carneiro Esteves Résolution du contact élastique entre deux corps rugueux , 1900 .

[59]  H. Rothert,et al.  Nonlinear analysis of isotropic, orthotropic and laminated plates and shells , 1987 .

[60]  B. v. Schlippe,et al.  Zur Mechanik des Luftreifens , 1942 .

[61]  H. Rothert,et al.  On the Three‐Dimensional Computation of Steel‐Belted Tires , 1986 .

[62]  A. E. Belkin,et al.  SOME MODELS AND METHODS OF PNEUMATIC TIRE MECHANICS , 1997 .

[63]  Hans B. Pacejka,et al.  Tyre Models for Vehicle Dynamics Analysis , 1995 .

[64]  J. J. Kalker,et al.  Rolling contact phenomena: Linear elasticity , 2000 .

[65]  P. Wriggers Finite element algorithms for contact problems , 1995 .

[66]  T Ohyama SOME BASIC STUDIES ON THE INFLUENCE OF SURFACE CONTAMINATION ON ADHESION FORCE BETWEEN WHEEL AND RAIL AT HIGHER SPEEDS , 1989 .

[67]  Ahmed K. Noor,et al.  Advances and trends in the development of computational models for tires , 1985 .

[68]  K. Kobe The friction and lubrication of solids , 1951 .

[69]  Hideo Sakai Mechanics of Pneumatic Tire , 1975 .

[70]  A. Noor,et al.  Assessment of Computational Models for Multilayered Composite Shells , 1990 .

[71]  D. W. Nicholson A Model Analysis of the Structural and Pneumatic Contributions to Tire Behavior Under Vertical Loads , 1975 .

[72]  Ahmed K. Noor,et al.  Analysis of Laminated Anisotropic Shells of Revolution , 1987 .

[73]  Cv Clemens Verhoosel,et al.  Non-Linear Finite Element Analysis of Solids and Structures , 1991 .

[74]  R. G. Pelle,et al.  Finite Element Simulation of Tire‐Rim Interface , 1989 .

[75]  S. D. Gehman,et al.  Theory for the Meridian Section of Inflated Cord Tires , 1963 .

[76]  B. G. Kao,et al.  Tire Transient Analysis with an Explicit Finite Element Program , 1997 .

[77]  R. H. Kennedy,et al.  Finite element analysis of steady and transiently moving/rolling nonlinear viscoelastic structure. II: Shell and three-dimensional simulations , 1987 .

[78]  R. H. Kennedy,et al.  Nonlinear finite element analysis for composite structures of axisymmetric geometry and loading , 1982 .

[79]  Klaus Knothe,et al.  Normal and tangential contact problem of surfaces with measured roughness , 2002 .

[80]  Dietmar Zachow 3D MEMBRANE SHELL MODEL IN APPLICATION OF A TRACTOR AND PKW TYRE , 1997 .

[81]  H. Rothert,et al.  Refined Methods for Tire Computation , 1989 .