Optimality Conditions for Shape and Topology Optimization Subject to a Cone Constraint

This paper provides first order necessary optimality conditions for simultaneous shape and topology optimization subject to a cone constraint. These conditions are expressed with the help of the shape and topological derivatives of the objective and constraint functionals. Several examples of applic...

Full description

Saved in:
Bibliographic Details
Published inSIAM journal on control and optimization Vol. 48; no. 6; pp. 4056 - 4077
Main Authors Amstutz, Samuel, Ciligot–Travain, Marc
Format Journal Article
LanguageEnglish
Published Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2010
Subjects
Calculus of variations and optimal control
Derivatives
Exact sciences and technology
Functionals
Fundamental areas of phenomenology (including applications)
Mathematical analysis
Mathematics
Optimization
Physics
Sciences and techniques of general use
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Studies
Topology
Topology optimization
Geometrical shape
topological derivative
Sensitivity analysis
Cone
shape optimization
Necessary and sufficient condition
Constraint
shape derivative
Multiobjective programming
35J05
Topology
Partial differential equation
Optimization
Lagrange multiplier
49K20
Variational calculus
Optimality condition
Optimality criterion
topology optimization
49Q10
Online AccessGet full text

Cover

More Information
Summary:This paper provides first order necessary optimality conditions for simultaneous shape and topology optimization subject to a cone constraint. These conditions are expressed with the help of the shape and topological derivatives of the objective and constraint functionals. Several examples of applications are given. [PUBLICATION ABSTRACT]
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-2
content type line 23
ISSN:0363-0129
1095-7138
DOI:10.1137/080722874