Numerical analysis of coupled thermomechanical frictional contact problems. Computational model and applications

Archives of Computational Methods in Engineering

Volumn 5, Issue 3, 1998, Pages 243-301

  De Saracibar, C Agelet ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2842587220     PISSN: 11343060     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02897875     Document Type: Article

References (71)

1. Agelet de Saracibar, C. (1995a), "A New Frictional Time Integration Algorithm for Multi-Body Large Slip Frictional Contact Problems", Computer Methods in Applied Mechanics and Engineering, 142, 303-334.
2. Agelet de Saracibar, C. (1995b), "Numerical Analysis of Frictional Contact Problems", Lecture notes of Short Course on Computational Techniques for Plasticity, International Center for Numerical Methods in Engineering, Barcelona, Spain.
3. Agelet de Saracibar, C. & M. Chiumenti (1995), "Numerical Analysis of Frictional Wear Contact Problems. Computational Model and Applications", to be published in Computer Methods in Applied Mechanics and Engineering.
4. Armero, F. & J.C. Simo (1992a), "A new Unconditionally Stable Fractional Step Method for Nonlinear Coupled Thermomechanical Problems", International Journal for Numerical Methods in Engineering, 35, 737-766.
5. Armero F. & J.C. Simo (1992b), "Product Formula Algorithms for Nonlinear Coupled Thermoplasticity: Formulation and Nonlinear Stability Analysis", Division of Applied Mechanics, Department of Mechanical Engineering, Stanford University, Stanford, California, SUDAM Report no. 92-4, March 1992.
6. Armero F. & J.C. Simo (1993), "A Priori Stability Estimates and Unconditionally Stable Product Algorithms for Nonlinear Coupled Thermoplasticity", International Journal of Plasticity, 9, 749-782.
7. Bathe, K.-J. & A. Chaudhary (1985), "A Solution Method for Planar and Axisymmetric Contact Problems", International Journal for Numerical Methods in Engineering, 21, 65-88.
8. Belytschko, T. & M.O. Neal (1991), "Contact-Impact by the Pinball Algorithm with Penalty and Lagrangian Methods", International Journal for Numerical Methods in Engineering, 31(3), 547-572.
9. Benson, D.J. & J.O. Hallquist (1990), "A Single Surface Contact Algorithm for the Post-Buckling Analysis of Shell Structures", Computer Methods in Applied Mechanics and Engineering, 78, 141-163.
10. Campos, L.T., J.T. Oden & N. Kikuchi (1982), "A Numerical Analysis of a Class of Contact Problems with Friction in Elastostatics", Computer Methods in Applied Mechanics and Engineering, 34, 821-845.
11. Carpenter, N.J., R.L. Taylor & M.G. Katona (1991), "Lagrange Constraints for Transient Finite Element Surface Contact", International Journal for Numerical Methods in Engineering, 32, 103-128.
12. Cheng, J.-H. & N. Kikuchi (1985), "An Analysis of Metal Forming Processes Using Large Deformation Elastic-Plastic Formulations", Computer Methods in Applied Mechanics and Engineering, 49, 71-108.
13. Ciarlet, P.G. (1988), Mathematical Elasticity. Volume 1: Three-Dimensional Elasticity, North-Holland, Amsterdam.
14. Curnier, A. (1984), "A theory of friction", International Journal of Solids and Structures, 20, 637-647.
15. Curnier, A. & P. Alart (1988), "A Generalized Newton Method for Contact Problems with Friction", Journal de Mecanique Theorique et Appliquee, supplement no. 1 to 7, 67-82.
16. Duvaut, G. & J.L. Lions (1972), Les Inequations en Mecanique et en Physique, Dunod, Paris.
17. Gallego, F.J. & J.J. Anza (1989), "A Mixed Finite Element Model for the Elastic Contact Problem", International Journal for Numerical Methods in Engineering, 28, 1249-1264.
18. Giannakopoulos, A.E. (1989), "The Return Mapping Method for the Integration of Friction Constitutive Relations", Computers and Structures, 32, 157-167.
19. Hallquist, J.O., G.L. Goudreau & D.J. Benson (1985), "Sliding Interfaces with Contact-Impact in Large-Scale Lagrangian Computations", Computer Methods in Applied Mechanics and Engineering, 51, 107-137.
20. Hughes, T.J.R. (1987), The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Prentice-Hall, Englewood Cliffs, NJ.
21. Ju, J.-W. & R.L. Taylor (1988), "A Perturbed Lagrangian Formulation for the Finite Element Solution of Nonlinear Frictional Contact Problems", Journal de Mecanique Theorique et Appliquee, supplement no. 1 to volume 7, 1-14.
22. Ju, J.-W., R.L. Taylor & L.Y. Cheng (1987), "A Consistent Finite Element Formulation of Nonlinear Frictional Contact Problems", Proceedings of the International Conference NUMETA'87, J. Middleton & G.N. Pande, eds., Nijhoff, Dordrecht.
23. Kikuchi, N. & J.T. Oden (1988), Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods, SIAM, Philadelphia.
24. Klarbring, A. & G. Björkman (1992), "Solution of Large Displacement Contact Problems with Friction Using Newton's Method for Generalized Equations", International Journal for Numerical Methods in Engineering, 34, 249-269.
25. Laursen, T.A. (1992), "Formulation and Treatment of Frictional Contact Problems Using Finite Elements", Ph.D. Dissertation, Stanford University, Division of Applied Mechanics, Report no. 92-6.
26. Laursen, T.A. & S. Govindjee (1994), "A Note on the Treatment of Frictionless Contact Between Non-smooth Surfaces in Fully Non-linear Problems", Communications in Applied Numerical Methods, 10, 869-878
27. Laursen, T.A. & J.C. Simo (1991), "On the Formulation and Numerical Treatment of Finite Deformation Frictional Contact Problems", in Nonlinear Computational Mechanics-State of the Art, P. Wriggers & W. Wagner, eds., Springer-Verlag, Berlin, pp. 716-736.
28. Laursen, T.A. & J.C. Simo (1992), "Formulation and Regularization of Frictional Contact Problems for Lagrangian Finite Element Computations", in Proc. of The Third International Conference on Computational Plasticity: Fundamentals and Applications, COMPLAS III, D.R.J. Owen, E. Oñate & E. Hinton, eds., Pineridge Press, Swansea, pp. 395-407.
29. Laursen, T.A. & J.C. Simo (1993a), "A Continuum-Based Finite Element Formulation for the Implicit Solution of Multi-Body, Large Deformation Frictional Contact Problems", International Journal for Numerical Methods in Engineering, 30(20), 3451-3485.
30. Laursen, T.A. & J.C. Simo (1993b), "Algorithmic Symmetrization of Coulomb Frictional Problems Using Augmented Lagrangians", Computer Methods in Applied Mechanics and Engineering, 108, 133-146.
31. Lee, E.H. (1969), "Elastic-plastic Deformation at Finite Strains", Journal of Applied Mechanics, 36, 1-6.
32. Lee, E.H. & D.T. Liu (1967), "Finite Strain Elastic-Plastic Theory Particularly for Plane Wave Analysis", Journal of Applied Physics, 38.
33. Luenberger, D.G. (1984), Linear and Nonlinear Programming, Addison-Wesley, Reading, Massachusetts.
34. Mandel, J. (1974), "Thermodynamics and Plasticity", in Foundations of Continuum Thermodynamics, J.J. Delgado et al. eds., McMillan, London, 283-304.
35. Marsden, J.E. & T.J.R. Hughes (1983), Mathematical Foundations of Elasticity, Prentice-Hall, Inc., Englewood Cliffs, New Jersey.
36. Moran, B., M. Ortiz & C.F. Shih (1990), "Formulation of Implicit Finite Element Methods for Multiplicative Deformation Plasticity", International Journal for Numerical Methods in Engineering, 29, 483-514.
37. Oden, J.T. & J.A.C. Martins (1985), "Models and Computational Methods for Dynamic Friction Phenomena", Computer Methods in Applied Mechanics and Engineering, 52, 527-634.
38. Oden, J.T. & E.B. Pires (1984), "Algorithms and Numerical Results for Finite Element Approximations of Contact Problems with Non-Classical Friction Laws", Computer and Structures, 19, 137-147.
39. Owen, D.R.J., D. Perić, A.J.L. Crook, E.A. de Souza Neto, J. Yu & M. Dutko (1995), "Advanced Computational Strategies for 3D Large Scale Metal Forming Simulations", Proceedings of the Fifth International Conference on Numerical Methods in Industrial Forming Processes, to appear
40. Papadopoulos, P. & R.L. Taylor (1990), "A Mixed Formulation for the Finite Element Solution of Contact Problems", UCB/SEMM Report, 90/18, University of California at Berkeley.
41. Parisch, H. (1989), "A Consistent Tangent Stiffness Matrix for Three-Dimensional Non-Linear Contact Analysis", International Journal for Numerical Methods in Engineering, 28, 1803-1812.
42. Shai, I. & M. Santo (1982), "Heat transfer with contact resistance", International Journal of Heat and Mass Transfer, 24, 465-470.
43. Simo, J.C. (1988), "A Framework for Finite Strain Elastoplasticity Based on the Multiplicative Decomposition and Hyperelastic Relations. Part II: Computational Aspects", Computer Methods in Applied Mechanics and Engineering, 68, 1-31.
44. Simo, J.C. (1992), "Algorithms for Static and Dynamic Multiplicative Plasticity that Preserve the Classical Return Mapping Schemes of the Infinitesimal Theory", Computer Methods in Applied Mechanics and Engineering, 99, 61-112.
45. Simo, J.C. (1994), "Numerical Analysis Aspects of Plasticity", in Handbook, of Numerical Analysis, Volume IV, P.G. Ciarlet and J.J. Lions, eds., Nort-Holland.
46. Simo, J.C. & F. Armero (1991), "Recent Advances in the Formulation and Numerical Analysis of Thermoplasticity at Finite Strains", in Finite Inelastic Deformations - Theory and Applications, E. Stein and D. Besdo, eds., IUTAM/IACM Symposium, Hannover, FRG, August, 19-23, 1991 Springer-Verlag, Berlin, 1991.
47. Simo J.C. & F. Armero (1992), "Geometrically Nonlinear Enhanced Strain Mixed Methods and the Method of Incompatible Modes", International Journal for Numerical Methods in Engineering, 33, 1413-1449.
48. Simo, J.C., F. Armero & R.L. Taylor (1993), "Improved Versions of Assumed Enhanced Strain TriLinear Elements for 3D Finite Deformation Problems", Computer Methods in Applied Mechanics and Engineering, .
49. Simo, J.C. & T.J.R. Hughes (1994), "Elastoplasticity and Viscoplasticity: Computational Aspects", to be published by Springer-Verlag, Berlin.
50. Simo, J.C. & T.A. Laursen (1992), "An Augmented Lagrangian Treatment of Contact Problems Involving Friction", Computers and Structures, 42, 97-116.
51. Simo, J.C. & C. Miehe (1992), "Associative Coupled Thermoplasticity at Finite Strains: Formulation, Numerical Analysis and Implementation", Computer Methods in Applied Mechanics and Engineeering, 98, 41-104.
52. Simo, J.C., P. Wriggers, K. Schweizerhof & R.L. Taylor (1986), "Finite Deformation Postbuckling Analysis Involving Inelasticity and Contact Constraints", International Journal for Numerical Methods in Engineering, 23, 779-800.
53. Simo, J.C., P. Wriggers & R.L. Taylor (1985), "A Perturbed Lagrangian Formulation for the Finite Element Solution of Contact Problems", Computer Methods in Applied Mechanics and Engineering, 50, 163-180.
54. Song, S. & M.M. Yovanovich (1987), "Explicit relative contact pressure expression: dependence upon surface roughness parameters aand Vickers microhardness coefficients", AIAA, Paper 87-0152.
55. de Souza Neto, K. Hashimoto, D. Perić & D.R.J. Owen.(1995), "A Phenomenological Model for Frictional Contact of Coated Steel Sheets Accounting for Wear Effects: Theory, Experiments and Numerical Simulation", International Journal for Numerical Methods in Engineering, to appear.
56. Wriggers, P. (1987), "On Consistent Tangent Matrices for Frictional Contact Problems", in Proceedings of the International Conference NUMETA'87, J. Middleton & G.N. Pande, eds., Nijhoff, Dordrecht.
57. Wriggers, P. (1995), "Finite Element Algorithms for Contact Problems", Archives of Computational Methods in Engineering, 2, 4, 1-50.
58. Wriggers, P. & M. Imhof (1993), "On the Treatment of Nonlinear Unilateral Contact Problems", Ing. Archiv., 63, 116-129.
59. Wriggers, P. & C. Miehe (1992), "Recent Advances in the Simulation of Thermomechanical Contact Processes", in Proc. of The Third International Conference on Computational Plasticity: Fundamentals and Applications, COMPLAS III, D.R.J. Owen, E. Oñate & E. Hinton, eds., Pineridge Press, Swansea, pp. 325-347.
60. Wriggers, P. & C. Miehe (1994), "Contact Constraints within Coupled Thermomechanical Analysis. A Finite Element Model", Computer Methods in Applied Mechanics and Engineering, 113, 301-319.
61. Wriggers, P. & O. Scherf (1995), "An adaptive finite element method for elastoplastic contact problems", in Proc. of The Fourth International Conference on Computational Plasticity: Fundamentals and Applications, COMPLAS IV, D.R.J. Owen, E. Oñate & E. Hinton, eds., Pineridge Press, Swansea.
62. Wriggers, P., O. Scherf & C. Carstensen (1995), "Adaptive Techniques for the Contact of Elastic Bodies", in Recent Developments in Finite Element Analysis, T.J.R. Hughes, E. Oñate & O.C. Zienkiewicz, eds. CIMNE, Barcelona.
63. Wriggers, P. & J.C. Simo (1985), "A Note on Tangent Stiffness for Fully Nonlinear Contact Problems", Communications in Applied Numerical Methods, 1, 199-203.
64. Wriggers, P., J.C. Simo & R.L. Taylor (1985), "Penalty and Augmented Lagrangian Formulations for Contact Problems", Proceedings of the International Conference NUMETA'85, J. Middleton & G.N. Pande, eds., A.A. Balkema, Rotterdam.
65. Wriggers, P., T. Vu Van & E. Stein (1990), "Finite Element Formulation of Large Deformation Impact-Contact Problems with Friction", Computers and Structures, 37, 319-331.
66. Wriggers, P. & G. Zavarise (1993), "On the Application of Augmented Lagrangian Techniques for Nonlinear Constitutive Laws in Contact Interfaces", Communications in Numerical Methods in Engineeering, 9, 815-824.
67. Wriggers, P. & G. Zavarise (1993), "Thermomechanical Contact. A Rigorous but Simple Numerical Approach", Computers and Structures, 46, 47-53.
68. Yovanovich, M.M. (1981), "Thermal Contact Correlations", AIAA, Paper 81-1164.
69. Zavarise, G., P. Wriggers & B. A. Schrefler (1995), "On Augmented Lagrangian Algorithms for Thermomechanical Contact Problems With Friction", International Journal for Numerical Methods in Engineering, 38(17), 2929-2949.
70. Zavarise, G., P. Wriggers, E. Stein & B. A. Schrefler (1992), "Real Contact Mechanisms and Finite Element Formulation-A Coupled Thermomechanical Approach", International Journal for Numerical Methods in Engineering, 35(4), 767-785.
71. Zienkiewicz, O.C. & R.L. Taylor (1991), The Finite Element Method, 4th ed., Volume 2: Solid and Fluid Mechanics, Dynamics and Non-linearity, McGraw-Hill, London.