Mixed finite element approach for shape optimal design of large displacement contact problems

Computers and Structures

Volumn 64, Issue 1-4, 1997, Pages 595-602

  Myslinski, A ^a  

^a SYSTEMS RESEARCH INSTITUTE   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL METHODS; OPTIMIZATION;

LARGE DISPLACEMENT CONTACT PROBLEM; SHAPE OPTIMAL DESIGN;

FINITE ELEMENT METHOD;

EID: 0031191088     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(96)00138-1     Document Type: Article

References (13)

1. I. Hlavacek, J. Haslinger, J. Necas and J. Lovisek, Solution of Variational Inequalities in Mechanics. Springer, Berlin (1988).
2. G. Björkman, A. Klabring, T. Larsson, M. Rönnqvist and B. Sjödin, Sequential quadrating programming for nonlinear elastic contact problems. Linköping University, Preprint IKP-R-770 (1993).
3. R. Glowinski and P. LeTallec, Augmented Lagrangian and Operator - Splitting Methods in Nonlinear Mechanics. SIAM Studies in Applied Mathematics, SIAM, Philadelphia, PA (1989).
4. R. Glowinski, M. Vidrascu and P. LeTallec, Augmented Lagrangian techniques for solving frictionless contact problems in finite elasticity. In: Finite Element Methods for Nonlinear Problems (Edited by P. G. Bergan, K. J. Bathe and W. Wunderlich), pp. 745-758, Springer, Berlin (1986).
5. A. Myslinski, Shape optimization of large displacement contact problems with prescribed friction. In: Contact Mechanics International Symposium (Edited by A. Curnier), pp. 305-318. Presses Polytechniques et Universitaires Romandes, Laussanne, Switzerland (1992).
6. A. Curnier and P. Alart, A mixed formulation for frictional contact problems prone to Newton-like solutions methods. Comput. Meth. appl. Mech. Engng 92, 353-375 (1991).
7. E. J. Haug, K. K. Choi and V. Komkov, Design Structural Analysis of Structural Systems. Academic Press, New York (1986).
8. J. Haslinger and P. Neittaanmaki, Finite Element Approximation for Optimal Shape Design. Theory and Applications. Wiley, Chichester (1988).
9. R. J. Yang and K. K. Choi, Accuracy of finite element based shape design sensitivity analysis. J. struct. Mech. 13, 223-239 (1985).
10. J. Sokolowski and J. P. Zolesio, Introduction to Shape Optimization. Shape Sensitivity Analysis. Springer, Berlin (1992).
11. A. Myslinski, Mixed variational approach for shape optimization in contact problem with prescribed friction. In: Numerical Methods for Free Boundary Problems (Edited by P. Neittaanmaki), pp. 285-294. International Series of Numerical Mathematics, Vol. 99. Birkhauser, Basel (1991).
12. J. C. Simo and T. A. Laursen, An augmented Lagrangian treatment of contact problems involving friction. Comput. Struct. 42, 97-116 (1992).
13. P. LeTallec and M. Halard, A second-order method for the optimal design of nonlinear structures. In: Structural Optimization '93 (Edited by J. Herskovitz), pp. 223-230, COPPE/Federal University of Rio de Janeiro, Rio de Janeiro, Brazil (1993).