An introduction to the topological derivative method / Antonio André Novotny, Jan Sokołowski.
2020
QA402.5
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Title
An introduction to the topological derivative method / Antonio André Novotny, Jan Sokołowski.
Author
Novotny, Antonio André.
ISBN
9783030369156 (electronic book)
3030369153 (electronic book)
9783030369149
3030369145
3030369153 (electronic book)
9783030369149
3030369145
Published
Cham : Springer, 2020.
Language
English
Description
1 online resource (x, 114 pages) : illustrations.
Item Number
10.1007/978-3-030-36
10.1007/978-3-030-36915-6
10.1007/978-3-030-36915-6
Call Number
QA402.5
Dewey Decimal Classification
515.64
Summary
This book presents the topological derivative method through selected examples, using a direct approach based on calculus of variations combined with compound asymptotic analysis. This new concept in shape optimization has applications in many different fields such as topology optimization, inverse problems, imaging processing, multi-scale material design and mechanical modeling including damage and fracture evolution phenomena. In particular, the topological derivative is used here in numerical methods of shape optimization, with applications in the context of compliance structural topology optimization and topology design of compliant mechanisms. Some exercises are offered at the end of each chapter, helping the reader to better understand the involved concepts.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Added Author
Sokołowski, Jan, 1949-
Series
SpringerBriefs in mathematics.
Available in Other Form
Print version: 9783030369149
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Table of Contents
Introduction
Singular Domain Perturbation
Regular Domain Perturbation
Domain Truncation Method
Topology Design Optimization
Appendix: Tensor Calculus
References
Index.
Singular Domain Perturbation
Regular Domain Perturbation
Domain Truncation Method
Topology Design Optimization
Appendix: Tensor Calculus
References
Index.