A large deformation mortar formulation of self contact with finite sliding

Computer Methods in Applied Mechanics and Engineering

Volumn 197, Issue 6-8, 2008, Pages 756-772

  Yang, Bin ^a   Laursen, Tod A ^a  

^a Duke University   (United States)

Author keywords

Bounding volume hierarchy; Contact searching; Finite elements; Mortar methods; Self contact

Indexed keywords

ALGORITHMS; CONTACTS (FLUID MECHANICS); DEFORMATION; FINITE ELEMENT METHOD; GEOMETRY; NUMERICAL METHODS;

MESH CONNECTIVITY; MORTAR FORMULATION;

MORTAR;

ALGORITHMS; CONTACTS (FLUID MECHANICS); DEFORMATION; FINITE ELEMENT METHOD; GEOMETRY; MORTAR; NUMERICAL METHODS;

EID: 36049016158     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2007.09.004     Document Type: Article

References (21)

1. Belhachmi Z., and Bernardi C. Resolution of fourth order problems by the mortar element method. Comput. Methods Appl. Mech. Engrg. 116 (1994) 53-58
2. Benson D.J., and Hallquist J.O. A single surface contact algorithm for the post-buckling analysis of shell structures. Comput. Methods Appl. Mech. Engrg. 78 (1990) 141-163
3. Belgacem F.B., and Maday Y. A spectral element methodology tuned to parallel implementations. Comput. Methods Appl. Mech. Engrg. 116 (1994) 59-67
4. Bernardi C., Maday Y., and Patera A.T. A new nonconforming approach to domain decomposition: The mortar element method. In: Brezia H., and Lions J.L. (Eds). Nonlinear Partial Differential Equations and Applications (1992), Pitman and Wiley 13-51
5. Cormen T.H., Leiserson C.E., Rivest R.L., and Stein C. Introduction to Algorithms. second ed. (2001), The MIT Press
6. El-Abbasi N., and Bathe K.-J. Stability and patch test performance of contact discretizations and a new solution algorithm. Comput. Struct. 79 (2001) 1473-1486
7. Goldsmith J., and Salmon J. Automatic creation of object hierarchies for ray tracing. IEEE Comput. Graph. Appl. 7 (1987) 14-20
8. M. Garland, A.J. Willmott, P.S. Heckbert, Hierarchical face clustering on polygonal surfaces, in: SI3D, 2001.
9. Klosowski J.T., Held M., Mitchell S.B., Sowizral H., and Zikan K. Efficient collision detection using bounding volume hierarchies of k-DOPs. IEEE Trans. Visual. Comput. Graph. 4 (1998) 21-37
10. Kajiya J.T., and Kay T.L. Ray tracing complex scenes. ACM SIGGRAPH Comput. Graph. 20 (1986) 269-278
11. Laursen T.A. Computational Contact and Impact Mechanics (2002), Springer, Berlin
12. McDevitt T.W., and Laursen T.A. A mortar-finite element formulation for frictional contact problems. Int. J. Numer. Methods Engrg. 48 (2000) 1525-1547
13. Oldenburg M., and Nilsson L. The position code algorithm for contact searching. Int. J. Numer. Methods Engrg. 37 (1994) 359-386
14. Puso M.A., and Laursen T.A. A mortar segment-to-segment contact method for large deformation solid mechanics. Comput. Methods Appl. Mech. Engrg. 193 (2004) 601-629
15. Puso M.A., and Laursen T.A. A mortar segment-to-segment frictional contact method for large deformations. Comput. Methods Appl. Mech. Engrg. 193 (2004) 4891-4913
16. Volino P., and Magnenant-Thalmann N. Collision and self-collision detection: robust and efficient techniques for highly deformable surfaces. Eurographics Workshop on Animation and Simulation (1995), Springer-Verlag
17. Volino P., and Magnenant-Thalmann N. Virtual Clothing (2000), Springer-Verlag, Berlin Heidelberg
18. A.J. Willmott. Hierarchical Radiosity with Multiresolution Meshes. PhD thesis, Carnegie Mellon University, 2000.
19. Wohlmuth B.I. Discretization Methods and Iterative Solvers Based on Domain Decomposition (2001), Springer-Verlag, Heidelberg
20. Yang B., and Laursen T.A. A contact searching algorithm including bounding volume trees applied to finite sliding mortar formulations. Comput. Mech. (2006)
21. Yang B., Laursen T.A., and Meng X.N. Two dimensional mortar contact methods for large deformation frictional sliding. Int. J. Numer. Methods Engrg. 62 (2005) 1183-1225