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An Introduction to the Topological Derivative Method
Antonio André NovotnyJan Sokołowski
出版Springer Nature, 2020-01-21
主題Mathematics / CalculusMathematics / Differential Equations / GeneralScience / Mechanics / GeneralMathematics / Functional AnalysisMathematics / General
ISBN30303691539783030369156
URLhttp://books.google.com.hk/books?id=KJrLDwAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.