Shape optimization in contact problems based on penalization of the state inequality
Haslinger, J.,Neittaanmäki, P & Tiihonen, T.(1986). Shape optimization in contact problems based on penalization of the state inequality. Aplikace matematiky, 31.1 (1986): 54-77. Retrieved from https://eudml.org/doc/15435
Julkaistu sarjassa
Aplikace matematikyPäivämäärä
1986Tekijänoikeudet
© EuDML
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 family of penalized state problems. The relation between optimal shapes for the original state inequality and those for penalized state equations is established.
Julkaisija
Ceskoslovenska Akademie VedISSN Hae Julkaisufoorumista
0862-7940
Alkuperäislähde
https://eudml.org/doc/15435Metadata
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Shape optimization in contact problems. 1. Design of an elastic body. 2. Design of an elastic perfectly plastic body
Haslinger, Jaroslav; Neittaanmäki, Pekka; Tiihonen, Timo (Springer, 1986)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 ... -
Shape optimization in contact problems : Approximation and numerical realization
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 ... -
On the existence of optimal shapes in contact problems : perfectly plastic bodies
Haslinger, J.; Neittaanmäki, Pekka (University of Jyväskylä, 1986) -
Shape optimization in contact problems with friction
Haslinger, J.; Horák, V.; Neittaanmäki, Pekka (University of Jyväskylä, 1985) -
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