Level-set Methods for Structural Topology Optimization a Review
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Velocity Field Level Set Method Incorporating Topological Derivatives for Topology Optimization
Yaguang Wang,
State Key Laboratory of Structural Analysis for Industrial Equipment,
Dalian University of Engineering science
,
Dalian 116024
,
China
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Handong Yang,
State Fundamental Laboratory of Structural Assay for Industrial Equipment,
Dalian University of Engineering science
,
Dalian 116024
,
People's republic of china
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Zhan Kang
State Key Laboratory of Structural Analysis for Industrial Equipment,
Dalian Academy of Applied science
,
Dalian 116024
,
China
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Yaguang Wang
Land Key Laboratory of Structural Analysis for Industrial Equipment,
Dalian University of Technology
,
Dalian 116024
,
China
Handong Yang
State Key Laboratory of Structural Analysis for Industrial Equipment,
Dalian University of Applied science
,
Dalian 116024
,
China
Zhan Kang
State Key Laboratory of Structural Assay for Industrial Equipment,
Dalian Academy of Engineering
,
Dalian 116024
,
China
Contributed by the Applied Mechanics Segmentation of ASME for publication in the Journal of Applied Thousandechanics.
J. Appl. Mech. Jun 2022, 89(vi): 061002 (ix pages)
Published Online: March 16, 2022
Article history
Received:
November 20, 2021
Revised:
February 24, 2022
Accepted:
Feb 25, 2022
Published:
March 16, 2022
Abstract
The velocity field level set method constructs the velocity field past velocity design variables and basis functions, and thus facilitates the use of general optimizers while still retaining the level set-based implicit topological representation. This newspaper incorporates the topological derivative concept into the velocity field level set method to enable automated nucleation of interior holes. In each design iteration, a specified book fraction of new holes is inserted at locations with smaller values of topological derivatives. Thus, the method provides a mode to directly change the structural topology during the boundary evolution using the velocity field based on the shape sensitivity. Compared with the original velocity field level set method, the electric current implementation can further accelerate the topological and shape evolution during the optimization process. More than importantly, the capability of hole nucleation eliminates the need of prescribing initial holes and thus alleviates the dependency of the optimized design on the initial pattern. Several numerical examples in both 2d and 3D design domains are presented to demonstrate the validity and efficiency of the proposed method.
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Source: https://asmedigitalcollection.asme.org/appliedmechanics/article/89/6/061002/1137929/Velocity-Field-Level-Set-Method-Incorporating
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