Published March 2005 | Version v1
Journal article Metadata-only

Maximum Principle in the Optimal Design of Plates with Stratified Thickness

Creators

  • 1. Mathematical Institute, Charles University, Sokolovska 83, CZ-186 75 Prague 8 (Czech Republic) and Institute of Information Theory and Automation, Academy of Sciences, Pod vodarenskou vezi 4, CZ-182 08 Prague 8 (Czech Republic)

Description

An optimal design problem for a plate governed by a linear, elliptic equation with bounded thickness varying only in a single prescribed direction and with unilateral isoperimetrical-type constraints is considered. Using Murat-Tartar's homogenization theory for stratified plates and Young-measure relaxation theory, smoothness of the extended cost and constraint functionals is proved, and then the maximum principle necessary for an optimal relaxed design is derived

Additional details

Identifiers

DOI
10.1007/s00245-004-0813-y;

Publishing Information

Journal Title
Applied Mathematics and Optimization
Journal Volume
51
Journal Issue
2
Journal Page Range
p. 183-200
ISSN
0095-4616

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39081514
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
FUNCTIONALS; PLATES; RELAXATION; ROUGHNESS; THICKNESS
Descriptors DEC
DIMENSIONS; FUNCTIONS; SURFACE PROPERTIES

Optional Information

Copyright
Copyright (c) 2005 Springer
Notes
www.springer-ny.com