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Titlebook: An Introduction to the Topological Derivative Method; Antonio André Novotny,Jan Sokołowski Book 2020 The Author(s), under exclusive licens

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发表于 2025-3-21 17:34:19 | 显示全部楼层 |阅读模式
期刊全称An Introduction to the Topological Derivative Method
影响因子2023Antonio André Novotny,Jan Sokołowski
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发行地址Introduces the concept of topological derivative in a simple and pedagogical manner using a direct approach based on calculus of variations combined with compound asymptotic analysis.Offers numerical
学科分类SpringerBriefs in Mathematics
图书封面Titlebook: An Introduction to the Topological Derivative Method;  Antonio André Novotny,Jan Sokołowski Book 2020 The Author(s), under exclusive licens
影响因子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..
Pindex Book 2020
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发表于 2025-3-22 03:47:12 | 显示全部楼层
Regular Domain Perturbation,pect to the nucleation of a small circular inclusion with different material property from the background. By taking into account the boundary value problem we are dealing with, three different cases are considered: (1) perturbation on its right-hand side, (2) perturbation on the lower order term, a
发表于 2025-3-22 06:49:40 | 显示全部楼层
Domain Truncation Method,a is introduced in the context of coupled elliptic boundary value problems. Then, the same framework is used for deriving the topological asymptotic expansion of a tracking-type shape functional with respect to singular domain perturbations produced by the nucleation of small circular holes endowed
发表于 2025-3-22 11:07:40 | 显示全部楼层
Topology Design Optimization,is presented. The model problem is governed by the elasticity system into two spatial dimensions. The topological asymptotic expansion of a tracking-type shape functional, associated with the nucleation of a small circular inclusion endowed with different material property from the background, is ri
发表于 2025-3-22 15:19:44 | 显示全部楼层
https://doi.org/10.1007/978-3-658-33413-0nalysis represents the size of the topological domain perturbation, allowing for the nucleation of small inclusions or voids in a numerical procedure of optimization regarding shape/topology changes on the material properties distribution or in the geometrical domain itself, respectively. Therefore,
发表于 2025-3-22 18:03:13 | 显示全部楼层
https://doi.org/10.1007/978-3-658-33413-0main perturbations, is formally developed. In particular, we consider singular perturbations produced by the nucleation of small circular holes endowed with homogeneous Neumann, Dirichlet, or Robin boundary conditions.
发表于 2025-3-22 23:11:28 | 显示全部楼层
I. Einleitung und Problemstellung,pect to the nucleation of a small circular inclusion with different material property from the background. By taking into account the boundary value problem we are dealing with, three different cases are considered: (1) perturbation on its right-hand side, (2) perturbation on the lower order term, a
发表于 2025-3-23 03:33:17 | 显示全部楼层
发表于 2025-3-23 08:47:25 | 显示全部楼层
Luisa Friedrichs,Annalena Walugais presented. The model problem is governed by the elasticity system into two spatial dimensions. The topological asymptotic expansion of a tracking-type shape functional, associated with the nucleation of a small circular inclusion endowed with different material property from the background, is ri
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