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| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20140310143354.0 |
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121214s2013 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783642352454 |
|
978-3-642-35245-4 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
620.1 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
Berlin, Heidelberg : |
| -- |
Springer Berlin Heidelberg : |
| -- |
Imprint: Springer, |
| -- |
2013. |
| 912 ## - |
|---|
| -- |
ZDB-2-ENG |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Novotny, Antonio André. |
| Relator term |
author. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Topological Derivatives in Shape Optimization |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc |
by Antonio André Novotny, Jan Sokołowski. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XII, 324 p. 68 illus. |
| Other physical details |
online resource. |
| 440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Interaction of Mechanics and Mathematics, |
| International Standard Serial Number |
1860-6245 |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Domain Derivation in Continuum Mechanics -- Material and Shape Derivatives for Boundary Value Problems -- Singular Perturbations of Energy Functionals -- Configurational Perturbations of Energy Functionals -- Topological Derivative Evaluation with Adjoint States -- Topological Derivative for Steady-State Orthotropic Heat Diffusion Problems -- Topological Derivative for Three-Dimensional Linear Elasticity Problems -- Compound Asymptotic Expansions for Spectral Problems -- Topological Asymptotic Analysis for Semilinear Elliptic Boundary Value Problems -- Topological Derivatives for Unilateral Problems. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
The topological derivative is defined as the first term (correction) of the asymptotic expansion of a given shape functional with respect to a small parameter that measures the size of singular domain perturbations, such as holes, inclusions, defects, source-terms and cracks. Over the last decade, topological asymptotic analysis has become a broad, rich and fascinating research area from both theoretical and numerical standpoints. It has applications in many different fields such as shape and topology optimization, inverse problems, imaging processing and mechanical modeling including synthesis and/or optimal design of microstructures, sensitivity analysis in fracture mechanics and damage evolution modeling. Since there is no monograph on the subject at present, the authors provide here the first account of the theory which combines classical sensitivity analysis in shape optimization with asymptotic analysis by means of compound asymptotic expansions for elliptic boundary value problems. This book is intended for researchers and graduate students in applied mathematics and computational mechanics interested in any aspect of topological asymptotic analysis. In particular, it can be adopted as a textbook in advanced courses on the subject and shall be useful for readers interested in the mathematical aspects of topological asymptotic analysis as well as in applications of topological derivatives in computational mechanics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Engineering. |
|
|---|
| Topical term or geographic name as entry element |
Computer science. |
|
|---|
| Topical term or geographic name as entry element |
Mechanics, applied. |
|
|---|
| Topical term or geographic name as entry element |
Engineering. |
|
|---|
| Topical term or geographic name as entry element |
Theoretical and Applied Mechanics. |
|
|---|
| Topical term or geographic name as entry element |
Computational Science and Engineering. |
|
|---|
| Topical term or geographic name as entry element |
Mathematical Applications in the Physical Sciences. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Sokołowski, Jan. |
| Relator term |
author. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9783642352447 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-642-35245-4 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
