Shape optimization of elastic axisymmetric bodies

Ivan Hlaváček

Displaying similar documents to “Shape optimization of elastic axisymmetric bodies”

Shape optimization in contact problems based on penalization of the state inequality

Jaroslav Haslinger, Pekka Neittaanmäki, Timo Tiihonen (1986)

Aplikace matematiky

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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.

Shape optimization in two-dimensional elasticity by the dual finite element method

I. Hlaváček (1987)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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Weight minimization of elastic bodies weakly supporting tension. I. Domains with one curved side

Ivan Hlaváček, Michal Křížek (1992)

Applications of Mathematics

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Shape optimization of a two-dimensional elastic body is considered, provided the material is weakly supporting tension. The problem generalizes that of a masonry dam subjected to its own weight and to the hydrostatic presure. Existence of an optimal shape is proved. Using a penalty method and finite element technique, approximate solutions are proposed and their convergence is analyzed.