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Variational Methods for Structural Optimization /

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In recent decades, it has become possible to turn the design process into computer algorithms. By applying different computer oriented methods the topology and shape of structures can be optimized and thus designs systematically improved. These possibilities have stimulated an interest in the mathem...

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Bibliographic Details
Main Author: Cherkaev, Andrej
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York, 2000.
Series:Applied mathematical sciences (Springer-Verlag New York Inc.) ; 140.
Subjects:
Physics.
System theory.
Mathematical optimization.
Mechanics.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • I Preliminaries. Introduction. Non-Convex Variational Problems
  • II Optimization of Conducting Composites
  • Conducting Composites. Conducting Composites of Extremal Energy. Optimization of Arbitrary Goal Functional
  • III Quasiconvex Envelope. Quasiconvex Envelope. Lower Bound: Translation Method. Minimizing Sequences. Algebra of Laminates. Upper Bounds and Extensions
  • IV Optimal Design of Elastic Constructions. Elasticity of Inhomogeneous Media. Elastic Mixtures of Extermal Rigidity. Plane Problem. Optimal Design
  • V Gm Closures
  • Bounds On G-Closures.