Shape optimization in contact problems. 1. Design of an elastic body. 2. Design of an elastic perfectly plastic body
Haslinger, J., Neittaanmäki, P., Tiihonen, T. (1986). Shape optimization in contact problems. 1. Design of an elastic body. 2. Design of an elastic perfectly plastic body. in A. Bensoussan and J. L. Lions (Eds.) Analysis and Optimization of Systems, pp. 29-39. doi: 10.1007/BFb0007544
Published inLecture Notes in Control and Information Sciences
The optimal shape design of a two dimensional body on a rigid foundation is analyzed. The problem is how to find the boundary part of the body where the unilateral boundary conditions are assumed in such a way that a certain energy integral (total potential energy, for example) will be minimized. It is assumed that the material of the body is elastic. Some remarks will be given concerning the design of an elastic perfectly plastic body. Numerical examples will be given.
Is part of publicationAnalysis and Optimization of Systems
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Haslinger, J.; Neittaanmäki, Pekka (University of Jyväskylä, 1986)
Haslinger, J.; Horák, V.; Neittaanmäki, Pekka (University of Jyväskylä, 1985)
Haslinger, J.; Neittaanmäki, Pekka (Cauthiers-Villars, 1987)The optímal shape design of a two-dimensíonal elastic body on rigid foundatíon is analyzed. The relation between the continuous problem and the díscrete problem achieved by FEM is presented. A numerícal realization ...
Haslinger, Jaroslav; Neittaanmäki, Pekka; Tiihonen, Timo (Ceskoslovenska Akademie Ved, 1986)The paper deals with the approximation of optimal shape of elastic bodies, unilaterally supported by a rigid, frictionless foundation. Original state inequality, describing the behaviour of such a body is replaced by a ...
Neittaanmäki, Pekka; Tiihonen, Timo (Wiley, 1984)