589
Views
25
CrossRef citations to date
0
Altmetric
Original Articles

A Numerical Approach for Analyzing Three-Dimensional Steady-State Rolling Contact Including Creep Using a Fast Semi-Analytical Method

, , &
Pages 446-457 | Received 04 Dec 2011, Accepted 13 Feb 2012, Published online: 30 Apr 2012

REFERENCES

  • Reynolds , O. 1876 . On Rolling-Friction . Philosophical Transactions of the Royal Society of London , 166 : 155 – 174 .
  • Carter , F. W. 1926 . On the Action of a Locomotive Driving Wheel . Proceedings of the Royal Society of London - Series A , 112 : 151 – 157 .
  • Nowell , D. and Hills , D. A. 1988 . Tractive Rolling of Dissimilar Elastic Cylinders . International Journal of Mechanical Sciences , 30 : 427 – 439 .
  • Nowell , D. and Hills , D. A. 1988 . Tractive Rolling of Tyred Cylinders . International Journal of Mechanical Sciences , 30 : 945 – 957 .
  • Johnson , K. L. 1958 . The Effect of a Tangential Contact Force Ppon the Rolling Motion of an Elastic Sphere . Journal of Applied Mechanics , 80 : 339 – 346 .
  • Vermeulen , P. J. and Johnson , K. L. 1964 . Contact of Non-Spherical Elastic Bodies Transmitting Tangential Forces . Journal of Applied Mechanics , 86 : 338 – 340 .
  • Haines , J. and Ollerton , E. 1963 . Contact Stress Distribution on Elliptical Contact Surfaces Subjected to Radial and Tangential Forces . Proceedings of the Institution of Mechanical Engineers , 177 : 95 – 114 .
  • Kalker , J. J. 1979 . The Computation of Three-Dimensional Rolling Contact with Dry Friction . International Journal for Numerical Methods in Engineering , 14 : 1293 – 1307 .
  • Kalker , J. J. 1986 . Numerical Calculation of the Elastic Field in a Half-Space . Communications in Applied Numerical Methods , 2 : 401 – 410 .
  • Kalker , J. J. 1990 . Three-Dimensional Elastic Bodies in Rolling Contact , Dordrecht, The Netherlands : Kluwer Academic Publishers .
  • Bogdanski , S. , Olzak , M. and Stupnicki , J. 1996 . Numerical Stress Analysis of Rail Rolling Contact Fatigue Cracks . Wear , 191 : 14 – 24 .
  • Liu , Y. , Liu , L. and Mahadevan , S. 2008 . Analysis of Subsurface Crack Propagation under Rolling Contact Loading in Railroad Wheels Using FEM . Engineering Fracture Mechanics , 74 : 2659 – 2674 .
  • Bijak-Żochowski , M. and Marek , P. 1997 . Residual Stress in Some Elasto-Plastic Problems of Rolling Contact with Friction . International Journal of Mechanical Sciences , 39 : 15 – 21 . 23 – 32 .
  • Jiang , Y. , Xu , B. and Sehitoglu , H. 2002 . Three-Dimensional Elastic-Plastic Stress Analysis of Rolling Contact . Journal of Tribology , 124 : 699 – 708 .
  • Xu , B. and Jiang , Y. 2002 . Elastic-Plastic Finite Element Analysis of Partial Slip Rolling Contact . Journal of Tribology , 124 : 20 – 26 .
  • Wen , Z. , Wu , L. , Li , W. , Jin , X. and Zhu , M. 2011 . Three-Dimensional Elastic-Plastic Stress Analysis of Wheel-Rail Rolling Contact . Wear , 271 : 426 – 436 .
  • Jiang , Y. and Sehitoglu , H. 1999 . A Model for Rolling Contact Failure . Wear , 224 : 38 – 49 .
  • González , J. A. and Abascal , R. 2002 . Solving 2D Transient Rolling Contact Problems Using the BEM and Mathematical Programming Techniques . International Journal for Numerical Methods in Engineering , 53 : 843 – 874 .
  • Abascal , R. and Rodríguez-Tembleque , L. 2007 . Steady-State 3D Rolling-Contact Using Boundary Elements . Communications in Numerical Methods in Engineering , 23 : 905 – 920 .
  • Rodríguez-Tembleque , L. and Abascal , R. 2010 . A 3D FEM-BEM Rolling Contact Formulation for Unstructured Meshes . International Journal of Solids and Structures , 23 : 330 – 353 .
  • Rodríguez-Tembleque , L. , Abascal , R. and Aliabadi , M. H. 2010 . A Boundary Element Formulation for Wear Modeling on 3D Contact and Rolling-Contact Problems . International Journal of Solids and Structures , 47 : 2600 – 2612 .
  • Polonsky , I. A. and Keer , L. M. 1999 . A Numerical Method for Solving Rough Contact Problems Based on the Multi-Level Multi-Summation and Conjugate Gradient Techniques . Wear , 231 : 206 – 219 .
  • Liu , S. B. , Wang , Q. and Liu , G. 2000 . A Versatile Method of Discrete Convolution and FFT (DC-FFT) for Contact Analyses . Wear , 243 : 101 – 111 .
  • Jacq , C. , Nélias , D. , Lormand , G. and Girodin , D. 2002 . Development of a Three-Dimensional Semi-Analytical Elastic-Plastic Contact Code . Journal of Tribology , 124 : 653 – 667 .
  • Boucly , V. , Nélias , D. , Liu , S. B. , Wang , Q. and Keer , L. M. 2005 . Contact Analyses for Bodies with Frictional Heating and Plastic Behavior . Journal of Tribology , 127 : 355 – 364 .
  • Chen , W. W. , Liu , S. B. and Wang , Q. 2008 . Fast Fourier Transform Based Numerical Methods for Elasto-Plastic Contacts of Nominally Flat Surface . Journal of Applied Mechanics , 75 : 011022
  • Chen , W. W. and Wang , Q. 2008 . Thermomechanical Analysis of Elasto-Plastic Bodies in a Sliding Spherical Contact and the Effects of Sliding Speed, Heat Partition, and Thermal Softening . Journal of Tribology , 130 : 041402
  • Wang , Z. J. , Wang , W. Z. , Hu , Y. Z. and Wang , H. 2010 . A Numerical Elastic-Plastic Contact Model for Rough Surfaces . Tribology Transactions , 53 : 224 – 238 .
  • Leroux , J. , Fulleringer , B. and Nélias , D. 2010 . Contact Analysis in Presence of Spherical Inhomogeneities within a Half-Space . International Journal of Solids and Structures , 47 : 3034 – 3049 .
  • Zhou , K. , Keer , L. M. and Wang , Q. 2011 . Semi-Analytic Solution for Multiple Interacting Three-Dimensional Inhomogeneous Inclusions of Arbitrary Shape in an Infinite Space . International Journal for Numerical Methods in Engineering , 87 : 617 – 638 .
  • Chen , W. W. , Zhou , K. , Keer , L. M. and Wang , Q. 2010 . Modeling Elasto-Plastic Indentation on Layered Materials Using the Equivalent Inclusion Method . International Journal Solids and Structures , 47 : 2841 – 2854 .
  • Chaise , T. , Nélias , D. and Sadeghi , F. 2011 . On the Effect of Isotropic Hardening on the Coefficient of Restitution for Single or Repeated Impacts Using a Semi-Analytical Method . Tribology Transactions , 54 : 714 – 722 .
  • Chen , W. W. and Wang , Q. 2008 . A Numerical Model for the Point Contact of Dissimilar Materials Considering Tangential Tractions . Mechanics of Materials , 40 : 936 – 948 .
  • Wang , Z. J. , Wang , W. Z. , Wang , H. , Zhu , D. and Hu , Y. Z. 2010 . Partial Slip Contact Analysis on Three-Dimensional Elastic Layered Half Space . Journal of Tribology , 132 : 021403
  • Wang , Z. J. , Wang , W. Z. , Meng , F. M. and Wang , J. X. 2011 . Fretting Contact Analysis on Three-Dimensional Elastic Layered Half Space . Journal of Tribology , 133 : 031401
  • Gallego , L. and Nélias , D. 2007 . Modeling of Fretting Wear under Gross Slip and Partial Slip Conditions . Journal of Tribology , 129 : 528 – 535 .
  • Gallego , L. , Nélias , D. and Jacq , C. 2006 . A Comprehensive Method to Predict Wear and to Define the Optimum Geometry of Fretting Surfaces . Journal of Tribology , 128 : 476 – 485 .
  • Gallego , L. , Nélias , D. and Deyber , S. 2010 . A Fast and Efficient Contact Algorithm for Fretting Problems Applied to Fretting Modes I, II, and III . Wear , 268 : 208 – 222 .
  • Love , A. E. H. 1929 . The Stress Produced in a Semi-Infinite Solid by Pressure on Part of the Boundary . Philosophical Transactions of the Royal Society of London , 228 : 377 – 420 .
  • James , R. D. and Busby , H. R. 1995 . Elasticity Solutions for Constant and Linearly Varying Applied to a Rectangular Surface Patch on the Elastic Half-Space . Journal of Elasticity , 38 : 153 – 163 .
  • Ahmadi , N. , Keer , L. M. , Mura , T. and Vithoontien , V. 1987 . The Interior Stress Field Caused by Tangential Loading of a Rectangular Patch on an Elastic Half Space . Journal of Tribology , 109 : 627 – 629 .
  • Hills , D. A. , Nowell , D. and Sackfield , A. 1993 . Mechanics of Elastic Contacts , Oxford, UK : Butterworth Heinemann .
  • Liu , S. B. and Wang , Q. 2002 . Study Contact Stress Fields Caused by Surface Tractions with a Discrete Convolution and Fast Fourier Transform Algorithm . Journal of Tribology , 124 : 36 – 45 .
  • Johnson , K. L. 1985 . Contact Mechanics , Cambridge , , UK : Cambridge University Press .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.