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An Introduction to the Topological Derivative Method

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	An Introduction to the Topological Derivative Method/ by Antonio André Novotny, Jan Sokołowski.
作者:	Novotny, Antonio André.
其他作者:	Sokołowski, Jan.
面頁冊數:	X, 114 p. 24 illus., 6 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Classical Mechanics. -
電子資源:	https://doi.org/10.1007/978-3-030-36915-6
ISBN:	9783030369156

An Introduction to the Topological Derivative Method
Novotny, Antonio André.

An Introduction to the Topological Derivative Method[electronic resource] /by Antonio André Novotny, Jan Sokołowski. - 1st ed. 2020. - X, 114 p. 24 illus., 6 illus. in color.online resource. - SpringerBriefs in Mathematics,2191-8198. - SpringerBriefs in Mathematics,.

Introduction -- Singular Domain Perturbation -- Regular Domain Perturbation -- Domain Truncation Method -- Topology Design Optimization -- Appendix: Tensor Calculus -- References -- Index.

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.

ISBN: 9783030369156

Standard No.: 10.1007/978-3-030-36915-6doiSubjects--Topical Terms:

1140387
Classical Mechanics.

LC Class. No.: QA315-316

Dewey Class. No.: 515.64

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