@article{M2AN_1998__32_3_255_0,
author = {Ko\v{c}vara, Michal and Zibulevsky, Michael and Zowe, Jochem},
title = {Mechanical design problems with unilateral contact},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {255--281},
year = {1998},
publisher = {Elsevier},
volume = {32},
number = {3},
mrnumber = {1627151},
zbl = {0901.73055},
language = {en},
url = {https://www.numdam.org/item/M2AN_1998__32_3_255_0/}
}
TY - JOUR AU - Kočvara, Michal AU - Zibulevsky, Michael AU - Zowe, Jochem TI - Mechanical design problems with unilateral contact JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1998 SP - 255 EP - 281 VL - 32 IS - 3 PB - Elsevier UR - https://www.numdam.org/item/M2AN_1998__32_3_255_0/ LA - en ID - M2AN_1998__32_3_255_0 ER -
%0 Journal Article %A Kočvara, Michal %A Zibulevsky, Michael %A Zowe, Jochem %T Mechanical design problems with unilateral contact %J ESAIM: Modélisation mathématique et analyse numérique %D 1998 %P 255-281 %V 32 %N 3 %I Elsevier %U https://www.numdam.org/item/M2AN_1998__32_3_255_0/ %G en %F M2AN_1998__32_3_255_0
Kočvara, Michal; Zibulevsky, Michael; Zowe, Jochem. Mechanical design problems with unilateral contact. ESAIM: Modélisation mathématique et analyse numérique, Tome 32 (1998) no. 3, pp. 255-281. https://www.numdam.org/item/M2AN_1998__32_3_255_0/
[1] . Truss topology design under multiple loading. DFG Report 367, Math. Institut, Univ. of Bayreuth, 1992.
[2] . Minimax compliance truss topology subject to multiple loadings. In M. BendsØe and C. Mota-Soares, editors, Topology optimization of trusses, pages 43-54. Kluwer Academic Press, Dortrecht, 1993. | MR
[3] , , and . Equivalent displacement based formulations for maximum strength truss topology design. IMPACT of Computing in Science and Engineering, 4: 315-345, 1992. | Zbl | MR
[4] and . Optimal design for minimum weight and compliance in plane stress using extremal microstructures. European J. on Mechanics (A/Solids) 12: 839-878, 1993. | Zbl | MR
[5] and . Numerical Methods in Finite Element Analysis. Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1976. | Zbl
[6] and . A new iterative method for optimal truss topology design. SIAM J. Optimization, 3: 322-358, 1993. | Zbl | MR
[7] , and . Optimization methods for truss geometry and topology design. Structural Optimization, 7: 141-159, 1994.
[8] , and . Penalty/barrier multiplier methods for minmax and constrained smooth convex programs. Research report 9/92, Optimization Laboratory, Technion-Israel Institute of Technology, Haifa, 1992.
[9] and . Penalty/barrier multiplier methods: a new class of augmented lagrangian algorithms for large scale convex programming problems. SIAM J. Optimization, 7, 1997. | Zbl | MR
[10] , , , and . An analytical model to predict optimal material properties in the context of optimal structural design. J. Applied Mechanics, 61: 930-937, 1994. | Zbl | MR
[11] . Optimization of Structural Topology, Shape and Material, Springer-Verlag, Heidelberg, 1995. | Zbl | MR
[12] . Lectures on Optimization. Springer-Verlag, Berlin, 1978.
[13] . The Finite Element Method for Elliptic Problems. North-Holland, Amsterdam, New York, Oxford, 1978. | Zbl | MR
[14] and . Convex Analysis and Variational Problems. North-Holland, Amsterdam, 1976. | Zbl | MR
[15] and Applied Optimal Design. Wiley, New York, 1979.
[16] , , and Solution of Variational Inequalities in Mechanics. Springer-Verlag, New-York, 1988. | Zbl | MR
[17] , and . Interior point methods for mechanical design problems. SIAM J. Optimization. To appear.
[18] , and . Truss topology optimization involving unilateral contact. J. Optimization Theory and Applications, 87, 1995. | Zbl
[19] and . How mathematics can help in design of mechanical structures. In. D.F. Griffiths and G.A. Watson, eds., Numerical Analysis 1995, Longman, Harlow, 1996, pp. 76-93. | Zbl
[20] On stiffness maximization of variable thickness sheet with unilateral contact. Quarterly of Applied Mathematics, 54: 541-550, 1996. | Zbl | MR
[22] and . An approximation theory for optimum sheet in unilateral contact. Quarterly of Applied Mathematics. To appear. | Zbl | MR
[23] and . Saddle point approach to stiffness optimization of discrete structures including unilateral contact. Control and Cybernetics, 3: 461-479, 1994. | Zbl | MR
[24] and . Topology optimization of sheets in contact by a subgradient method. International Journal for Numerical Methods in Engineerings. To appear. | Zbl | MR
[25] . Modified barrier fonctions: Theory and methods. Mathematical Programming, 54: 177-222, 1992. | Zbl | MR
[26] A dual approach to solving nonlinear programming problems by unconstrained optimization. Mathematical Programming, 5: 354-373, 1973. | Zbl | MR
[27] Convex Analysis. Princeton University Press, Princeton, New Jersey, 1970. | Zbl | MR
[28] and On the convergence of the exponential multiplier method for convex programming. Mathematical Programming, 60: 1-19, 1993. | Zbl | MR






