A framework for development of surface smoothing procedures in large deformation frictional contact analysis

Finite Elements in Analysis and Design

Volumn 37, Issue 3, 2001, Pages 173-198

  Padmanabhan, V ^a   Laursen, T A ^a,b  

^a Duke University   (United States)

^b Analysis Services Incorporated   (United States)

Author keywords

Contact analysis; Finite elements; Frictions; Surface smoothing

Indexed keywords

ALGORITHMS; COMPUTATIONAL GEOMETRY; FRICTION; KINEMATICS; NONLINEAR EQUATIONS; OSCILLATIONS; SURFACE ROUGHNESS; VARIATIONAL TECHNIQUES;

FRICTIONAL CONTACT ANALYSIS;

FINITE ELEMENT METHOD;

EID: 0035282015     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-874X(00)00029-9     Document Type: Article

References (24)

1. T.J.R. Hughes, R.L. Taylor, J.L. Sackman, A. Curnier, W. Kanoknukulchai, A finite element method for a class of contact-impact problems, Comput. Methods Appl. Mech. Eng. 8 (1976) 249-276.
2. A. Francavilla, O.C. Zienkiewicz, A note on numerical computation of elastic contact problems, Int. J. Numer. Methods Eng. 9 (1975) 913-924.
3. K.J. Bathe, A. Chaudhary, A solution method for planar and axisymmetric contact problems, Int. J. Numer. Methods Eng. 21 (1985) 65-88.
4. P. Wriggers, T. Vu Van, E. Stein, Finite element formulation of large deformation impact-contact problems with friction, Comput. Struct. 37 (1990) 319-331.
5. D.J. Benson, J.O. Hallquist, A single surface contact algorithm for the post-buckling analysis of shell structures, Comput. Methods Appl. Mech. Eng. 78 (1990) 141-163.
6. T.A. Laursen, J.C. Simo, A continuum-based finite element formulation for the implicit solution of multibody, large deformation frictional contact problems, Int. J. Numer. Methods Eng. 36 (1993) 3451-3485.
7. J.C. Simo, P. Wriggers, R.L. Taylor, A perturbed Lagrangian formulation for the finite element solution of contact problems, Comput. Methods Appl. Mech. Eng. 50 (1985) 163-180.
8. J.Y. Oden, E.B. Pires, Algorithms and numerical results for finite element approximations of contact problems with non-classical friction laws, Comput. Struct. 19 (1984) 137-147.
9. F.J. Gallego, J.J. Anza, A mixed finite element model for the elastic contact problem, Int. J. Numer. Methods Eng. 28 (1989) 1249-1264.
10. P. Wriggers, J.C. Simo, R.L. Taylor, Penalty and augmented Lagrangian formulations for contact problems, Proceedings of the NUMETA '85 Conference, Elsevier, Amsterdam, 1985.
11. J.C. Simo, T.A. Laursen, An augmented Lagrangian treatment of contact problems involving friction, Comput. Struct. 42 (1992) 97-116.
12. D.J. Yoo, I.S. Song, D.Y. Yang, J.H. Lee, Rigid-plastic finite element analysis of sheet metal forming processes using continuous contact treatment and membrane elements incorporating bending effects, Int. J. Mech. Sci. 36 (6) (1994) 513-546.
13. E. Hinton, J.S. Campbell, Local and global smoothing of discontinuous finite element functions using least square method, Int. J. Numer. Methods Eng. 8 (1974) 461-480.
14. T. Belytschko, M.O. Neal, Contact-impact by the pinball algorithm with penalty and Lagrangian methods, Int. J. Numer. Methods Eng. 31 (1991) 547-572.
15. A. L. Eterovic, K.J. Bathe, An interface interpolation scheme for quadratic convergence in the finite element analysis of contact problems, in: P. Wriggers, W. Wagner (Eds.), Nonlinear Computational Mechanics - State of the Art, Springer, Berlin, 1991, pp. 703-715.
16. C. Agelet de Saracibar, A new frictional time integration algorithm for large slip multi-body frictional contact problems, Comput. Methods Appl. Mech. Eng. 142 (1997) 303-334.
17. G. Duvaut, J.L. Lions, Les Inequations en mechanique et en Physique, Dunod, Paris, 1972.
18. T.A. Laursen, Formulation and treatment of frictional contact problems using finite elements, Ph.D. Dissertation, Stanford University, 1992.
19. T.W. McDevitt, T.A. Laursen, A mortar-finite element formulation for frictional contact problems, Int. J. Numer. Methods Eng. (2000), in press.
20. C. Bernard!, Y. Maday, A.T. Patera, A new nonconforming approach to domain decomposition: the mortar element method, in: H. Brezia, J.L. Lions (Eds.), Nonlinear Partial Differential Equations and Their Applications, Pitman, London and Wiley, New York, 1992, pp. 13-51.
21. C. De Boor, A practical guide to splines, Applied Mathematical Sciences, Springer, New York, 1978.
22. P. Dierckx, Curve and surface fitting with splines, Oxford University Press, Oxford, 1993.
23. F.E. Farin, Curves and surfaces for computer aided geometric design, Academic Press, Boston, 1992.
24. B. Maker, S.K. Samantha, B. Grab, N. Triantafylidis, An analysis of drawbeads in sheet metal forming: Part II -experimental verification, J. Eng. Mater. Technol. 109 (1987) 164-170.