Variational Methods for Structural Optimization

By: Andrej Cherkaev

Write A Review

Hardcover | 1 January 2000

At a Glance

Hardcover
580 Pages

Dimensions(cm)
24.77 x 16.51 x 3.18

Hardcover

$249.00

or 4 interest-free payments of $62.25 with

Ships in 5 to 7 business days

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 mathematical foundations of structural optimization. The challenge of this book is to bridge a gap between a rigorous mathematical approach to variational problems and the practical use of algorithms of structural optimization in engineering applications. The foundations of structural optimization are presented in a sufficiently simple form to make them available for practical use and to allow their critical appraisal for improving and adapting these results to specific models. Special attention is to pay to the description of optimal structures of composites; to deal with this problem, novel mathematical methods of nonconvex calculus of variation are developed. The exposition is accompanied by examples.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Calculus Engineering & Technology Civil Engineering Structural Engineering Applied Mathematics Technology in General Engineering in General Mechanical Engineering & Materials Materials Science

Optimisation Linear Programming Functional Analysis & Transforms Science Physics Classical Mathematics

Other Editions and Formats

Paperback

Published: 24th September 2012

View Product

List of Figures
Preface
Relaxation of One-Dimensional Variational Problems	p. 3
Conducting Composites	p. 35
Bounds and G-Closures	p. 59
Domains of Extremal Conductivity	p. 81
Optimal Conducting Structures	p. 117
Quasiconvexity	p. 145
Optimal Structures and Laminates	p. 171
Lower Bound: Translation Method	p. 213
Necessary Conditions and Minimal Extensions	p. 239
Obtaining G-Closures	p. 261
Examples of G-Closures	p. 279
Multimaterial Composites	p. 309
Supplement: Variational Principles for Dissipative Media	p. 343
Elasticity of Inhomogeneous Media	p. 359
Elastic Composites of Extremal Energy	p. 393
Bounds on Effective Properties	p. 419
Some Problems of Structural Optimization	p. 459
References	p. 495
Author/Editor Index	p. 525
Subject Index	p. 533
Table of Contents provided by Blackwell. All Rights Reserved.

Variational Methods for Structural Optimization

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

More in Linear Programming

Statistical Analysis with R For Dummies

For Dummies (Computer/Tech)

Elementary Linear Algebra

8th Edition - International Metric Edition

Iterative Methods for Linear and Nonlinear Equations

Frontiers in Applied Mathematics

Linear Algebra for Localization

Algorithms, Use Cases, and C++ Implementations

Fuzzy-Model-Based Mode Control of Complex Nonlinear Systems

Engineering Mathematics and Operations Research

The Official Raspberry Pi Handbook 2026

Astounding projects with Raspberry Pi computers

Advances on Mathematical Modeling and Optimization with Its Applications

Emerging Technologies

Statistical Modeling and Applications on Real-Time Problems

Unraveling Insights through Advanced Analytical Techniques

Statistical Modeling and Applications on Real-Time Problems

Enhancing Understanding and Practical Implementation

NONLINEAR WORKBOOK (6TH ED)

Chaos, Fractals, Cellular Automata, Genetic Algorithms, Gene Expression Programming, Support Vector Machine, Wavelets, Hidden Markov Models, Fuzzy Logic With C++, Java And Symbolicc++ Programs (6th Edition)

DYNAMICS, CONTROL, AND SYNCHRONIZATION OF NONLINEAR SYSTEMS

Integral and Integro-Differential Equations

Wavelet-Based Numerical Methods

Minimax Models in the Theory of Numerical Methods

Theory and Decision Library

Neural Network for Optimization and Combinatorics

Oscillation Theory of Operator - Differential Equations

Series on Soviet and East European Mathematics

Theory of Oscillations

Series on Optimization

Recent Advances in Nonsmooth Optimization

Totally Convex Functions for Fixed Points Computation

Applied Optimization

Combinatorial and Global Optimization

Series on Applied Mathematics

Inequality Theory and Applications

Combinatorial Optimization : Polyhedra and Efficiency

Polyhedra and Efficiency

Nonlinear Workbook, The

Chaos, Fractals, Cellular Automata, Neural Networks, Genetic Algorithms, Gene Expression Programming, Wavelets, Fuzzy Logic With C++, Java And Symbolic C++ Programs (2nd Edition)

Selected Papers of Alan J. Hoffman : With Commentary

With Commentary

Nonlinear Dynamics : From Lasers to Butterflies

From Lasers to Butterflies

This product is categorised by