Electronic Resource
Springer
Journal of optimization theory and applications
106 (2000), S. 441-450
ISSN:
1573-2878
Keywords:
saddle points
;
minimization of compliance
;
duality
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1004667901231
Permalink
|
Location |
Call Number |
Expected |
Availability |
