On the Treatment of Contact Contraints within Coupled Thermomechanical Analysis

  • P. Wriggers
  • C. Miehe
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Abstract

In engineering problems like shrink fitting, deep drawing or hot rolling the effects of heat generation and heat transfer have to be considered during the process. Since many of these simulations involve contact problems with dry friction it is of interest to develop contact laws which are able to predict besides normal and tangential stresses also the amount of heat generated due to friction and the heat transfer across the contact surface.

Keywords

Contact Problem Contact Element Frictional Heating Contact Geometry Frictional Contact Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature

  1. J.H. Argyris, J. St. Doltsinis (1981), On the Natural Formulation and Analysis of Large Deformation Coupled Thermomechanical Problems, Comp. Meth. Appl. Mech. Eng. 25 195–253.CrossRefMATHMathSciNetGoogle Scholar
  2. A. B. Chaudhary, K. J. Bathe (1985), A Solution Method for Static and Dynamic Analysis of Three-dimensional Contact Problems with Friction, Computers & Structures, 24 855–873.CrossRefGoogle Scholar
  3. A. Curnier, R. L. Taylor (1982), A Thermomechanical Formulation and Solution of Lubricated Contacts between Deformable Bodies, J. of Lubrication Technology, 104 Google Scholar
  4. J. St. Doltsinis (1990), Aspects of Modelling and Computation in the Analysis of Metal Forming, Engineering Computations, 7 2–20.CrossRefGoogle Scholar
  5. A. E. Giannokopoulos (1989), The Return Mapping Method for the Integration of Friction Constitutive Relations, Computers & Structures, 32 157–168.CrossRefGoogle Scholar
  6. J. Hallquist (1979), NIKE2D: An Implicit, Finite Deformation, Finite- Element Code for Analysing the Static and Dynamic Response of Two—Dimensional Solids, Rept. UCRL52678, UC—Lawrence Livermore National Laboratory.Google Scholar
  7. T. R. J. Hughes, R. L. Taylor, J. L. Sackman, A. Curnier, W. Kanoknukulchai (1976) A Finite Element Method for a Class of Contact-Impact Problems Comp. Meth. Appl. Mech. Engng., 8 249–276.CrossRefMATHGoogle Scholar
  8. L. Johannson, A. Klarbring, Thermoelastic Frictional Contact Problems: Modelling, Finite Element Approximation and Numerical Realization, preprint.Google Scholar
  9. W. Ju, R. L. Taylor (1988), A Perturbed Lagrangian Formulation for the Finite Element Solution of Nonlinear Frictional Contact Problems, Journal of Theoretical and Applied Mechanics, 7 1–14.Google Scholar
  10. I. V. Kragelsky, M. N., Dobychin, V. S., Kombalov (1982), Friction and Wear — Calculation Methods, (Translated from The Russian by N. Standen), Pergamon Press.Google Scholar
  11. T. A. Laursen, J. C. Simo (1991), On the Formulation and Numerical Treatment of Finite Deformation Frictional Contact Problems, in Computational Methods in Nonlinear Mechanics, eds. P. Wriggers, W. Wagner, Springer, Berlin.Google Scholar
  12. C. V. Madhusudana, L. S. Fletcher (1986) Contact heat transfer - the last decade, A AIAA Journal, 24 510–523.CrossRefMathSciNetGoogle Scholar
  13. R. Michalowski, Z. Mroz (1978), Associated and Non-associated Sliding Rules in Contact Friction Problems, Arch. of Mechanics, 30 259–276.MATHGoogle Scholar
  14. C. Miehe (1988), On the Numerical Treatment of Thermomechanical Processes (in German), Forschungs-und Seminarberichte aus dem Bereich der Mechanik der Universität Hannover, Report-No. F 88/6.Google Scholar
  15. B. Nour-Omid, P. Wriggers (1986), A Two-Level Iteration Method for Solution of Contact Problems, Comp. Meth. Appl. Mech. Engng., 54 855–873.CrossRefMathSciNetGoogle Scholar
  16. J. T. Oden, J.A.C. Martins (1986), Models and Computational Methods for Dynamic Friction Phenomena, Comp. Meth. Appl. Mech. Engng. 52 527–634.CrossRefMathSciNetGoogle Scholar
  17. J. C. Simo, R. L. Taylor (1985), Consistent Tangent Operators for Rate-independant Elastoplasticity., Comp. Meth. Appl. Mech. Engng., 48 101–118.CrossRefMATHGoogle Scholar
  18. J. C. Simo, C., Miehe (1991), Coupled Associative Thermoplasticit y at Finite Strains: Formulation, Numerical Analysis and Implementation, Comp. Meth. Appl. Mech. Engng., in press.Google Scholar
  19. S. Song, M. M. Yovanovich, M. M. (1987), Explicit relative contact pressure expression: dependence upon surface roughness parameters and Vickers microhardness coefficients, AIAA Paper 87–0152.Google Scholar
  20. W. L. Wood (1990), Practical Time-Stepping Schemes, Oxford Applied Mathematics and Computing Science Series, Clarendon Press, Oxford.Google Scholar
  21. P. Wriggers, J. C.Simo (1985), A Note on Tangent Stiffness for Fully Nonlinear Contact Problems, Communications in Applied Numerical Methods, 1 199–203.CrossRefMATHGoogle Scholar
  22. P. Wriggers (1987), On Consistent Tangent Matrices for Frictional Contact Problems, Proc. NUMETA 87 Conf., Ed. J. Middleton, G.N. Pande.Google Scholar
  23. P. Wriggers, T. Vu Van, E. Stein (1990), Finite Element Formulation of Large Deformation Impact-Contact Problems with Friction, Computers & Structures, 37 319–331.CrossRefMATHGoogle Scholar
  24. G. Zavarise, P. Wriggers, E. Stein, B. A. Schrefler (1992), A Numerical Model for Thermomechanical Contact based on Microscopic Interface Laws, accepted for publication in Mechanics Research Communications.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • P. Wriggers
    • 1
  • C. Miehe
    • 2
  1. 1.Institut für MechanikTechnische Hochschule DarmstadtDarmstadtGermany
  2. 2.Institut für Baumechanik und Numerische MechanikUniversität HannoverHannover 1Germany

Personalised recommendations