Fracture-based shape optimization built upon the topological derivative

Alidoost K.; Tortorelli D.A.; Fernandez F.Geubelle P.H.

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Fracture-based shape optimization built upon the topological derivative

机译：Fracture-based shape optimization built upon the topological derivative

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? 2022 Elsevier B.V.In Silva et al. (2011) and Alidoost et al. (2020), the authors developed an approximation of the energy release rate field associated with a small edge or surface crack at any boundary location and with any orientation using the topological derivative. The approximation is computationally attractive because it requires only a single analysis on the non-cracked domain in contrast with conventional boundary-element and finite-element-based methods, which require a separate and costlier analysis for each crack length-location-orientation combination. In this work, a shape optimization scheme for fracture-resistant structures is developed using the energy release rate approximation. In the gradient-based optimization scheme, the domain and its boundary are defined implicitly using level-set functions. The level-set functions of arbitrary geometries are constructed using Boolean operations from the level-set functions of simple primitives. This geometrical representation has the dual advantage of (i) allowing shapes to intersect and/or separate during the optimization and (ii) simplifying the computation of the shape sensitivities.

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《Computer Methods in Applied Mechanics and Engineering》 |2022年第15期|114994.1-114994.24|共24页
作者
Alidoost K.; Tortorelli D.A.; Fernandez F.Geubelle P.H.;
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作者单位

Department of Mechanical Sciences and Engineering University of Illinois at Urbana-Champaign||Lawrence Livermore National LaboratoryLawrence Livermore National Laboratory;

||Department of Mechanical Sciences and Engineering University of Illinois at Urbana-Champaign||Lawrence Livermore National Laboratory;

Lawrence Livermore National Laboratory||Research Center on Mathematical Modeling (MODEMAT) Escuela Politécnica NacionalDepartment of Aerospace Engineering University of Illinois at Urbana-Champaign;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
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关键词
Energy release rate; Fracture; Level-set function; Shape optimization; Topological derivative;

Fracture-based shape optimization built upon the topological derivative

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