An Introduction to the Topological Derivative Method
2020 ed.
Book Details
Format
Paperback / Softback
Book Series
SpringerBriefs in Mathematics
ISBN-10
3030369145
ISBN-13
9783030369149
Edition
2020 ed.
Publisher
Springer Nature Switzerland AG
Imprint
Springer Nature Switzerland AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jan 22nd, 2020
Print length
114 Pages
Product Classification:
Differential calculus & equationsOptimizationClassical mechanics
Ksh 7,200.00
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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.
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.
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