(Download) "An Introduction to the Topological Derivative Method" by Antonio André Novotny & Jan Sokolowski # eBook PDF Kindle ePub Free

April 22, 2021

eBook details

Title: An Introduction to the Topological Derivative Method
Author : Antonio André Novotny & Jan Sokolowski
Release Date : January 21, 2020
Genre: Mathematics,Books,Science & Nature,Physics,
Pages : * pages
Size : 5038 KB

Description

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.