The virtual contact loading method for contact problemsconsidering material and geometric nonlinearities

Computers and Structures

Volumn 58, Issue 3, 1996, Pages 621-632

  Zhao, Hua ^a  

^a SOUTHWEST JIAOTONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; DEFORMATION; EFFICIENCY; ELASTOPLASTICITY; FRICTION; ITERATIVE METHODS; MATHEMATICAL PROGRAMMING; MECHANICAL PROPERTIES; NUMERICAL METHODS; PERFORMANCE; STRESS CONCENTRATION;

ANALYTICAL METHOD; CONTACT PROBLEMS; CONTACT SURFACE; CONVERGENCE RATE; COULOMB LAW; FRICTION PHENOMENON; GEOMETRIC NONLINEARITIES; HERTZIAN SOLUTION; MATERIAL NONLINEARITIES; VIRTUAL CONTACT LOADING METHOD;

CONTACTS (FLUID MECHANICS);

EID: 0030567157     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7949(95)00147-9     Document Type: Article

References (32)

1. H. Zhao, Z.-H. Li and Z.-B. Kuang, The virtual contact loading method for elastic contact problems. Commun. numer. Meth. Engng 9, 455-461 (1993).
2. J. T. Oden and E. B. Pires, Nonlocal and nonlinear friction laws and variational principles for contact problems in elasticity. J. appl. Mech. Trans. ASME 50, 67-76 (1983).
3. L. T. Campos, J. T. Oden and N. Kikuchi, A numerical analysis of a class of contact problems with friction in elastostatics, Comput. Meth. appl. Mech. Engng 34, 821-845 (1982).
4. J. J. Kalker, The computation of three-dimensional rolling contact with dry friction. Int. J. numer. Meth. Engng 14, 1293-1307 (1979).
5. A. D. Hearle and K. L. Johnson, Cumulative plastic flow in rolling and sliding line contact. J. appl. Mech. Trans. ASME 54, 1-7 (1987).
6. C. Liu and B. Paul, Rolling contact with friction and non-Hertzian pressure distribution. J. appl. Mech. Trans. ASME 56, 814-820 (1989).
7. A. Francavilla and O. C. Zienkiewicz, A note on numerical computation of elastic contact problems. Int. J. numer. Meth. Engng 9, 913-924 (1975).
8. N. Okamoto and N. Nakazawa, Finite element incremental contact analysis with various frictional conditions. Int. J. numer. Meth. Engng 14, 337-357 (1979).
9. M. U. Rahman, R. E. Rowlands and R. D. Cook, An iterative procedure for finite-element stress analysis of frictional contact problems. Comput. Struct. 18, 947-954 (1984).
10. Bo R. Torstenfelt, An automatic incrementation technique for contact problems with friction. Comput. Struct. 19, 393-400 (1984).
11. N. Chandrasekaran, W. E. Haisler and R. E. Goforth, A finite element solution method for contact problems with friction, Int. J. numer. Meth. Engng 24, 477-495 (1987).
12. J. T. Oden and N. Kikuchi, Finite element methods for constrained problems in elasticity. Int. J. numer. Meth. Engng 18, 701-725 (1982).
13. G. Yagawa and H. Hirayama, A finite element method for contact problems related to fracture mechanics. Int. J. numer. Meth. Engng 20, 2175-2195 (1984).
14. J. O. Hallquist, G. L. Goudreau and D. J. Benson, Sliding interfaces with contact-impact in large-scale Lagrangian computations. Comput. Meth. appl. Mech. Engng 51, 107-137 (1985).
15. Y. Kanto and G. Yagawa, A dynamic contact buckling analysis by the penalty finite element method. Int. J. numer. Methods Engng 29, 755-774 (1990).
16. K.-J. Bathe and A. Chaudhary, A solution method for planar and axisymmetric contact problems. Int. J. numer. Meth. Engng 21, 65-88 (1985).
17. J. C. Simo, P. Wriggers and R. L. Taylor, A perturbed Lagrangian formulation for the finite element solution of contact problems. Comput. Meth. appl. Mech. Engng 50, 163-180 (1985).
18. W.-H. Chen and P. Tsai, Finite element analysis of elastodynamic sliding contact problems with friction. Comput. Struct. 22, 925-938 (1986).
19. S. K. Pascoe and J. E. Mottershead, Linear elastic contact problems using curved elements and including dynamic friction. Int. J. numer. Meth. Engng 26, 1631-1643 (1988).
20. J. Tseng and M. D. Olson, The mixed finite element method applied to two-dimensional elastic contact problems. Int. J. numer. Meth. Engng 17, 991-1014 (1981).
21. P. R. Heyliger and J. N. Reddy, A mixed computational algorithm for plane elastic contact problem - 1, formulation. Comput. Struct. 26, 621-634 (1987).
22. S. C. Shyu, T. Y. Chang and A. F. Saleeb, Friction-contact analysis using a mixed finite element method. Comput. Struct. 32, 223-242 (1989).
23. F. J. Gallego and J. J. Anza, A mixed finite element model for the elastic contact problem. Int. J. numer. Methods Engng 28, 1249-1264 (1989).
24. R. J. Gu, Moving finite element analysis for two-dimensional frictionless contact problem. Comput. Struct. 33, 543-549 (1989).
25. J. W. Joo and B. M. Kwak, Analysis and applications of elasto-plastic contact problems considering large deformation. Comput. Struct. 24, 953-961 (1986).
26. A. F. Sayegh and F. K. Tso, Treatment of contact boundaries with friction by direct minimization. Comput. Struct. 24, 491-500 (1986).
27. W.-X. Zhong and S.-M. Sun, A finite element method for elasto-plastic structures and contact problems by parametric quadratic programming. Int. J. numer. Meth. Engng 26, 2723-2738 (1988).
28. A. R. Johnson and C. J. Quigley, Frictionless geometrically non-linear contact using quadratic programming. Int. J. numer. Meth. Engng 28, 127-144 (1989).
29. R. M. McMeeking and J. R. Rice, Finite-element formulations for problems of large elastic-plastic deformation. Int. J. Solids Struct. 11, 601-616 (1975).
30. M. Kleiber, Incremental Finite Element Modelling in Non-linear Solid Mechanics. Ellis Horwood, Chichester (1989).
31. D. R. J. Owen and E. Hinton, Finite Element in Plasticity (Theory and Practice). Pineridge Press, Swansea (1980).
32. S. T. Timoshenko and J. N. Goodier, Theory of Elasticity, 3rd Edn. McGraw-Hill, New York (1960).