Nonsmooth optimal design problems for the Kirchhoff plate with unilateral conditions

 Access to full text

 Full (PDF)

1. M. P. Bendsøe N. Olhoff, J. Sokolowski, Sensitivity analysis of problems of elasticity with unilateral constraints, J. Struct. Mech. 13 (1985), 201-222. (1985) MR0802916
2. M. P. Bendsøe, J. Sokolowski, Design sensitivity analysis of elastic-plastic analysis problem, Mech. Structures Mach. 16(1988), 81-102. (1988) MR0968603
3. M. P. Bendsøe, J. Sokolowski, Sensitivity analysis and optimal design of elastic plates with unilateral point supports, Mech. Structures Mach. 15 (1987), 383-393. (1987) MR0957853
4. G. Duvaut, J. L. Lions, Inequalities in Mechanics and Physics, (Grundlehren der mathematischen Wissenschaften 219.) Springer-Verlag, Berlin 1976. (1976) Zbl0331.35002MR0521262
5. A. Haraux, How to differentiate the projection on a convex set in Hilbert space, Some applications to variational inequalities. J. Math. Soc. Japan 29 (1977), 615-631. (1977) Zbl0387.46022MR0481060
6. E. J. Haug, J. Cea (eds.), Optimization of Distributed Parameter Structures, Sijthoff and Noordhoff, Alpen aan den Rijn, The Netherlands 1981. (1981) Zbl0511.00034
7. I. Hlaváček I. Bock, J. Lovíšek, Optimal control of a variational inequality with applications to structural analysis. Part III. Optimal design of an elastic plate, Appl. Math. Optim. IS (1985), 117-136. (1985) MR0794174
8. A. M. Khludnev, J. Sokolowski, [unknown], book in preparation. Zbl1067.74056
9. F. Mignot, Controle dans les inequations variationelles elliptiques, J. Funct. Anal. 22 (1976), 25-39. (1976) Zbl0364.49003MR0423155
10. A. Myslinski, J. Sokolowski, Nondifferentiable optimization problems for elliptic systems, SIAM J. Control Optim. 23 (1985), 632-648. (1985) Zbl0571.49010MR0791892
11. M. Rao, J. Sokolowski, Sensitivity analysis of Kirchhoff plate with obstacle, Rapport de Recherche No. 771 (1988), INRIA, Rocquencourt, France. (1988) 
12. M. Rao, J. Sokolowski, Shape sensitivity analysis of state constrained optimal control problems for distributed parameter systems, (Lecture Notes in Control and Information Sciences 114.) Springer-Verlag, Berlin 1989, pp. 236-245. (1989) Zbl0702.49015MR0987982
13. M. Rao, J. Sokolowski, Differential stability of solutions to parametric optimization problems, Math. Methods Appl. Sci. 14 (1991), 281-294. (1991) Zbl0749.90077MR1106167
14. M. Rao, J. Sokolowski, Sensitivity analysis of unilateral problems in $H_0^2(\Omega)$ and applications, Numer. Funct. Anal. Optim. 14 (1993), 1-2, 125-143. (1993) MR1210466
15. M. Rao, J. Sokolowski, Sensitivity analysis of unilateral problems in $H_0^2(\Omega)$ and applications, In: Emerging Applications in Free Boundary Problems (J.M. Chadam and II. Rasmussen, eds., Pitman Research Notes Math. Ser., No. 280), Longman 1993. (1993) 
16. J. Sokolowski, Sensitivity analysis of control constrained optimal control problems for distributed parameter systems, SIAM J. Control Optim. 25 (1987), 1542-1556. (1987) Zbl0647.49019MR0912455
17. J. Sokolowski, Shape sensitivity analysis of boundary optimal control problems for parabolic systems, SIAM J. Control Optim. 26 (1988), 763-787. (1988) Zbl0663.49012MR0948646
18. J. Sokolowski, Sensitivity analysis of shape estimation problems, In the volume dedicated to Jean Cea, to appear in special issue of Mechanics of Structures and Machines. 
19. J. Sokolowski, J. P. Zolesio, Introduction to Shape Optimization. Shape sensitivity analysis, (Springer Series in Computational Mathematics 16.) Springer-Verlag, New York 1992. (1992) Zbl0761.73003MR1215733