img Leseprobe Leseprobe

Topological Derivatives in Shape Optimization

Jan Sokołowski, Antonio André Novotny

ca. 171,19
Amazon iTunes Hugendubel Bü kobo Osiander Google Books Barnes&Noble Legimi
* Affiliatelinks/Werbelinks
Hinweis: Affiliatelinks/Werbelinks
Links auf sind sogenannte Affiliate-Links. Wenn du auf so einen Affiliate-Link klickst und über diesen Link einkaufst, bekommt von dem betreffenden Online-Shop oder Anbieter eine Provision. Für dich verändert sich der Preis nicht.

Springer Berlin img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Maschinenbau, Fertigungstechnik


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, fracture mechanics sensitivity analysis 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 on the mathematical aspects of topological asymptotic analysis as well as on applications of topological derivatives in computation mechanics.

Weitere Titel zum gleichen Preis
Cover Ferroalloys
Viktor Dashevskii
Cover Advances in Water Jetting
Joško Valentinčič
Cover Mechanical Sciences
Santosha Kumar Dwivedy
Cover Advances in Design Engineering
Francisco Cavas-Martínez
Cover Theory of Oscillations
Sergey Viktorovich Eliseev
Cover Green Materials Engineering
Jean Igor Margem (Deceased)
Cover Rare Metal Technology 2019
Alafara Abdullahi Baba



Computational Mechanics, Topological Derivative, Shape Optimization, Asymptotic Analysis, Applied Mathematics, Elliptic Boundary Value