Digitale Medien
Springer
Journal of optimization theory and applications
106 (2000), S. 441-450
ISSN:
1573-2878
Schlagwort(e):
saddle points
;
minimization of compliance
;
duality
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
Abstract This note deals with the displacement-based relaxed formulation of the minimum compliance layout problem of the optimal distribution of two isotropic materials within a given three-dimensional domain. In 1994, Lipton (Ref. 1) proved that minimization over elasticity tensors can be interchanged with maximization over displacements. This proof was based on the theory of Young measures. The aim of this contribution is to provide a new and straightforward proof of the Lipton saddle-point theorem by using a duality technique, thus bypassing the Young measure theory.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1023/A:1004667901231
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